Florian Luca

From MaRDI portal
Person:168881

Available identifiers

zbMath Open luca.florianWikidataQ20885652 ScholiaQ20885652MaRDI QIDQ168881

List of research outcomes

PublicationDate of PublicationType
ON THE ITERATES OF THE SHIFTED EULER’S FUNCTION2024-04-09Paper
Asymptotics on a class of \(S\)-unit integers2024-04-09Paper
On the separation of the roots of the generalized Fibonacci polynomial2024-04-03Paper
On a variant of Pillai's problem with factorials and \(S\)-units2024-03-01Paper
On the 𝑝-adic zeros of the Tribonacci sequence2024-02-28Paper
On certain partial sums involving squares of Hecke eigenvalues2024-02-26Paper
https://portal.mardi4nfdi.de/entity/Q61493522024-02-05Paper
The complete solution of the Diophantine equation \(\left(F_{n+1}^{(k)}\right)^x - \left(F_{n-1}^{(k)}\right)^x = F_m^{(k)}\)2024-01-22Paper
Arithmetic properties of generalized Fibonacci numbers2024-01-19Paper
Solving Skolem's problem for the \(k\)-generalized Fibonacci sequence with negative indices2024-01-10Paper
Multiplicative independence in the sequence of $k$-generalized Lucas numbers2023-11-23Paper
On the Largest Prime factor of the k-generalized Lucas numbers2023-11-21Paper
Three essays on Machin's type formulas2023-10-25Paper
On the arguments of the roots of the generalized Fibonacci polynomial2023-10-24Paper
Diophantine triples with distinct binary recurrences2023-10-20Paper
Representing the inverse map as a composition of quadratics in a finite field of characteristic $2$2023-09-29Paper
Sequences of integers generated by two fixed primes2023-09-22Paper
On the discriminator of Lucas sequences. II2023-09-22Paper
https://portal.mardi4nfdi.de/entity/Q61359932023-08-28Paper
On a question of Witno concerning hypothetical elite primes for Mersenne numbers and repunits2023-08-23Paper
https://portal.mardi4nfdi.de/entity/Q61342722023-08-21Paper
https://portal.mardi4nfdi.de/entity/Q61684852023-08-08Paper
On \(Y\)-coordinates of Pell equations which are Fibonacci numbers2023-07-24Paper
Numbers of the form $k+f(k)$2023-06-28Paper
Linear combinations of factorial and \(S\)-unit in a ternary recurrence sequence with a double root2023-06-05Paper
Big prime factors in orders of elliptic curves over finite fields2023-06-05Paper
https://portal.mardi4nfdi.de/entity/Q61031382023-06-02Paper
On the solutions of the Diophantine equation \(P_n \pm \frac{a(10^m -1)}{9}=k!\)2023-05-17Paper
The Diophantine equations \(P_n^x+P_{n+1}^y=P_m^x\) or \(P_n^y+P_{n+1}^x=P_m^x\)2023-05-16Paper
Bad witnesses for a composite number2023-05-12Paper
Numbers of the form kf(k)2023-05-08Paper
Additive Diophantine equations with binary recurrences, \(\mathcal{S}\)-units and several factorials2023-04-28Paper
Markov triples with two Fibonacci components2023-04-12Paper
On a result of Fujita and Le2023-04-04Paper
Terms of Lucas sequences having a large smooth divisor2023-03-17Paper
https://portal.mardi4nfdi.de/entity/Q58818342023-03-13Paper
On the sum of the reciprocals of k-generalized Fibonacci numbers2023-03-06Paper
Generalized Lucas graphs2023-02-27Paper
An inequality for Fibonacci numbers2023-02-21Paper
On equal values of products and power sums of consecutive elements in an arithmetic progression2023-02-16Paper
On the iterates of shifted Euler's function2023-02-03Paper
Trinomials, singular moduli and Riffaut's conjecture2023-01-23Paper
On the multiplicity in Pillai's problem with Fibonacci numbers and powers of a fixed prime2023-01-23Paper
Algebraic model checking for discrete linear dynamical systems2023-01-18Paper
https://portal.mardi4nfdi.de/entity/Q50603242023-01-10Paper
On two conjectures regarding generalized sequence of derangements2022-12-19Paper
On a variant of an identity relating cubes of three consecutive Fibonacci numbers2022-12-08Paper
Primes and composites in the determinant Hosoya triangle2022-11-19Paper
On \(Y\)-coordinates of Pell equations which are Lucas numbers2022-11-14Paper
\(X\)-coordinates of Pell equations in various sequences2022-11-11Paper
On an exponential Diophantine equation involving powers of consecutive terms of the Padovan sequence2022-11-09Paper
On the multiplicities of Padovan-type sequences2022-10-31Paper
Identities for the k-generalized Fibonacci sequence with negative indices and its zero-multiplicity2022-10-31Paper
There are no Carmichael numbers of the form \(2^np+1\) with \(p\) prime2022-10-12Paper
Exponential Diophantine Equations2022-09-30Paper
ON REPUNIT CULLEN NUMBERS2022-09-19Paper
On the exponential Diophantine equation \(F_{n+1}^x - F_{n-1}^x = F_m^y\)2022-08-31Paper
On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\)2022-08-04Paper
On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials2022-08-02Paper
Fibonacci and Lucas numbers as difference of two repdigits2022-07-20Paper
On the exponential Diophantine equation \(F_n^x+F_{n+1}^x+\cdots+F_{n+k-1}^x=F_m\)2022-07-15Paper
On a nonintegrality conjecture2022-06-20Paper
https://portal.mardi4nfdi.de/entity/Q50773122022-05-18Paper
Skolem Meets Schanuel2022-04-28Paper
On the transcendence of a series related to Sturmian words2022-04-18Paper
Corrigendum to “Pentagonal and heptagonal repdigits” [Annales Mathematicae et Informaticae 52 (2020) 137–145]2022-03-18Paper
On a Diophantine equation involving Fibonacci numbers and the Ramanujan \(\tau\)-function of factorials2022-03-17Paper
Fibonacci numbers as sums of two Padovan numbers2022-03-17Paper
Coprime partitions and Jordan totient functions2022-03-09Paper
On the gaps between \(q\)-binomial coefficients2022-03-04Paper
Powers of Rational Matrices2022-02-28Paper
On the Shorey-Tijdeman Diophantine equation involving terms of Lucas sequences2022-02-22Paper
Pell numbers whose Euler function is a Pell number2022-02-18Paper
https://portal.mardi4nfdi.de/entity/Q50269382022-02-08Paper
On the Euler function of \(Y\)-coordinates of Pell equations and repdigits2022-02-03Paper
There are no Diophantine quadruples of Pell numbers2022-02-02Paper
Explicit formulas for concatenations of arithmetic progressions2022-01-14Paper
https://portal.mardi4nfdi.de/entity/Q50210852022-01-12Paper
On the distribution of the roots of polynomial $z^k-z^{k-1}-\dots - z-1$2021-12-10Paper
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences2021-11-29Paper
On the number of divisors of the least common multiples of shifted prime powers2021-11-01Paper
k-generalized Fibonacci numbers which are concatenations of two repdigits2021-10-27Paper
On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II2021-10-19Paper
On Egyptian fractions of length 32021-09-29Paper
Duplications In the \(k\)-generalized Fibonacci sequences2021-08-16Paper
On Petersson’s partition limit formula2021-07-23Paper
On members of Lucas sequences which are products of Catalan numbers2021-07-23Paper
On a generalization of the Pell sequence2021-06-18Paper
Common values of generalized Fibonacci and Pell sequences2021-06-08Paper
Binary polynomial power sums vanishing at roots of unity2021-05-20Paper
Markov type equations with solutions in Lucas sequences2021-05-04Paper
Linear combinations of prime powers in \(X\)-coordinates of Pell equations2021-05-04Paper
Product of repdigits with consecutive lengths in the Fibonacci sequence.2021-05-03Paper
Fibonacci numbers which are concatenations of two repdigits2021-04-27Paper
Pell factoriangular numbers2021-04-24Paper
\(k\)-Fibonacci powers as sums of powers of some fixed primes2021-04-20Paper
Skolem's conjecture confirmed for a family of exponential equations. III.2021-04-16Paper
On a recursively defined sequence involving the prime counting function2021-03-26Paper
Markov triples with k-generalized Fibonacci components2021-03-20Paper
Pentagonal and heptagonal repdigits2021-03-20Paper
Two \(b\)-repunits in the Fibonacci sequence2021-03-09Paper
On the zero-multiplicity of the k-generalized Fibonacci sequence2021-02-24Paper
https://portal.mardi4nfdi.de/entity/Q49639812021-02-24Paper
Perfect squares representing the number of rational points on elliptic curves over finite field extensions2021-02-18Paper
On \(X\)-coordinates of Pell equations which are repdigits2021-02-02Paper
Multiplicative dependence between \(k\)-Fibonacci and \(k\)-Lucas numbers2021-01-25Paper
On the exponential Diophantine equation Px n + P x n+1 + ⋯ + P x n+k-1 = Pm 2021-01-21Paper
On the prime factors of the iterates of the Ramanujan τ–function2021-01-20Paper
https://portal.mardi4nfdi.de/entity/Q33870082021-01-12Paper
Products of $k$-Fibonacci numbers which are rep-digits2020-12-18Paper
Binary recurrences for which powers of two are discriminating moduli2020-12-11Paper
On the nonnegative integer solutions to the equation \(F_n \pm F_m = y^a\)2020-11-24Paper
https://portal.mardi4nfdi.de/entity/Q51325142020-11-12Paper
The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II.2020-11-08Paper
On the equation \(\sum_{j = 1}^k j F_j^p = F_n^q\)2020-09-01Paper
On members of Lucas sequences which are products of factorials2020-09-01Paper
On the problem of Pillai with k-generalized Fibonacci numbers and powers of 32020-08-11Paper
Elliptic curves over finite fields with Fibonacci numbers of points2020-07-29Paper
On Y-coordinates of Pell equations which are base 2 rep-digits2020-07-20Paper
Small Fields with Large Class Groups2020-07-14Paper
Lucas factoriangular numbers2020-07-02Paper
On a Diophantine equation involving powers of Fibonacci numbers2020-04-23Paper
On two conjectures regarding generalized sequence of derangements2020-04-22Paper
Zeckendorf representations with at most two terms to \(x\)-coordinates of Pell equations2020-04-01Paper
On \(Y\)-coordinates of Pell equations which are members of a fixed binary recurrence2020-03-11Paper
Pell and Pell-Lucas numbers as sums of two repdigits2020-03-11Paper
Composite positive integers whose sum of prime factors is prime2020-03-06Paper
Correction to: \(X\)-coordinates of Pell equations as sums of two tribonacci numbers2020-02-26Paper
On the X-coordinates of Pell equations which are rep-digits, II2020-02-26Paper
An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers2020-02-26Paper
On certain sums concerning the gcd’s and lcm’s of k positive integers2020-02-06Paper
https://portal.mardi4nfdi.de/entity/Q52120102020-01-23Paper
Trinomials with given roots2020-01-17Paper
Perfect Pell and Pell–Lucas numbers2020-01-17Paper
On a conjecture concerning the multiplicity of the Tribonacci sequence2019-12-19Paper
Total multiplicity of the Tribonacci sequence2019-12-19Paper
Lucas numbers as sums of two repdigits2019-12-03Paper
\(X\)-coordinates of Pell equations which are Lucas numbers2019-11-28Paper
On Pillai's problem with the Fibonacci and Pell sequences2019-11-28Paper
Primitive root bias for twin primes. II: Schinzel-type theorems for totient quotients and the sum-of-divisors function2019-11-27Paper
Counting terms $U_n$ of third order linear recurrences with $U_n=u^2+nv^2$2019-11-25Paper
https://portal.mardi4nfdi.de/entity/Q49726482019-11-25Paper
\(x\)-Coordinates of Pell equations which are Tribonacci numbers. II2019-11-21Paper
On ternary Egyptian fractions with prime denominator2019-11-18Paper
Consecutive Integers with Close Kernels2019-11-12Paper
On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers2019-10-17Paper
https://portal.mardi4nfdi.de/entity/Q52358462019-10-14Paper
On the period mod $m$ of polynomially-recursive sequences: a case study2019-10-09Paper
https://portal.mardi4nfdi.de/entity/Q52365812019-10-09Paper
Perfect Squares as Concatenation of Consecutive Integers2019-09-25Paper
On fundamental units of real quadratic fields of class number 12019-09-19Paper
On The diophantine equationFn+Fm=2a2019-09-09Paper
https://portal.mardi4nfdi.de/entity/Q52320712019-09-05Paper
https://portal.mardi4nfdi.de/entity/Q52306762019-08-28Paper
On the exponential Diophantine equation Pxn+Pxn+1=Pm2019-08-19Paper
Repdigits as sums of four Pell numbers2019-08-07Paper
On a divisibility problem2019-08-05Paper
Diophantine triples in linear recurrences of Pisot type2019-07-26Paper
On Pillai's problem with \(X\)-coordinates of Pell equations and powers of 22019-07-18Paper
On the \(x\)-coordinates of Pell equations which are products of two Fibonacci numbers2019-07-18Paper
Recurrence relations for polynomials obtained by arithmetic functions2019-07-04Paper
Irrationality of infinite series2019-06-24Paper
A note on Fibonomial coefficients2019-06-20Paper
On the discriminator of Lucas sequences2019-06-20Paper
Primitive Root Bias for Twin Primes2019-06-19Paper
Algebraic results for the values \(\vartheta_3(m\tau)\) and \(\vartheta_3(n\tau)\) of the Jacobi theta-constant2019-06-06Paper
On cyclotomic factors of polynomials related to modular forms2019-05-15Paper
Repdigits as sums of three Lucas numbers2019-05-13Paper
On the zero–multiplicity of a fifth-order linear recurrence2019-03-25Paper
Constrained ternary integers2019-03-15Paper
Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms2019-03-15Paper
On the Difference in Values of the Euler Totient Function Near Prime Arguments2019-03-12Paper
Arithmetic properties of coefficients of \(L\)-functions of elliptic curves2019-03-01Paper
Repdigits as sums of three Pell numbers2019-02-01Paper
$X$-coordinates of Pell equations as sums of two tribonacci numbers2019-02-01Paper
On the typical size and cancellations among the coefficients of some modular forms2019-01-31Paper
LINEAR INDEPENDENCE OF POWERS OF SINGULAR MODULI OF DEGREE THREE2019-01-10Paper
On $X$-coordinates of Pell equations which are repdigits2018-11-28Paper
https://portal.mardi4nfdi.de/entity/Q45568172018-11-28Paper
https://portal.mardi4nfdi.de/entity/Q45569942018-11-28Paper
On the proximity of large primes2018-11-27Paper
Fibonacci Numbers which are Products of two Pell Numbers2018-11-20Paper
Sylvester's Theorem and the Non-integrality of a certain Binomial Sum2018-11-20Paper
A note on odd perfect numbers2018-11-20Paper
Romanov type problems2018-11-15Paper
Snapshots of Mathematics in Sub-Saharan Africa2018-11-02Paper
There are no Diophantine quadruples of Fibonacci numbers2018-11-01Paper
On a problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of 22018-10-18Paper
https://portal.mardi4nfdi.de/entity/Q46896842018-10-17Paper
https://portal.mardi4nfdi.de/entity/Q46845992018-09-24Paper
Polynomial values of sums of products of consecutive integers2018-09-14Paper
Diophantine quadruples with values in k-generalized Fibonacci numbers2018-08-23Paper
Diversity in Parametric Families of Number Fields2018-08-17Paper
Every positive integer is a sum of three palindromes2018-08-01Paper
Diophantine triples and \(k\)-generalized Fibonacci sequences2018-07-24Paper
DENOMINATORS OF BERNOULLI POLYNOMIALS2018-07-19Paper
Quotients of Fibonacci Numbers2018-07-12Paper
Local behavior of the composition of the aliquot and co-totient functions2018-06-21Paper
A Diophantine equation in $k$-Fibonacci numbers and repdigits2018-06-07Paper
Diophantine equations with products of consecutive members of binary recurrences2018-05-31Paper
On the local minima of the order of appearance function2018-05-25Paper
Powers of two as sums of three Pell numbers2018-05-23Paper
A VARIATION ON THE THEME OF NICOMACHUS2018-05-23Paper
On prime factors of the sum of two k-Fibonacci numbers2018-05-15Paper
On perfect powers that are sums of two Fibonacci numbers2018-05-02Paper
Linear independence results for the reciprocal sums of Fibonacci numbers associated with Dirichlet characters2018-03-16Paper
Number fields in fibers: the geometrically abelian case with rational critical values2018-03-14Paper
On the $x$-coordinates of Pell equations which are Fibonacci numbers2018-03-08Paper
Diophantine triples with values in the sequences of Fibonacci and Lucas numbers2018-01-12Paper
Corrigendum to ``Positive integers divisible by the product of their nonzero digits, portugaliae math. 64 (2007), 1: 75 -- 852018-01-04Paper
Primitive root biases for prime pairs. I: Existence and non-totality of biases2017-12-21Paper
On Diophantine quadruples of Fibonacci numbers2017-12-01Paper
https://portal.mardi4nfdi.de/entity/Q45939932017-11-16Paper
Trinomials with integral \(S\)-unit coefficients having a quadratic factor2017-11-14Paper
On Fibonacci numbers which are elliptic Carmichael2017-11-10Paper
Repdigits as Euler functions of Lucas numbers2017-11-10Paper
On the $x$-coordinates of Pell equations which are rep-digits2017-11-10Paper
ON POLYNOMIALS WHOSE ROOTS HAVE RATIONAL QUOTIENT OF DIFFERENCES2017-10-17Paper
On two functions arising in the study of the Euler and Carmichael quotients2017-10-10Paper
On the largest prime factor of the ratio of two generalized Fibonacci numbers2017-10-05Paper
On the error term of a lattice counting problem2017-09-27Paper
ON PILLAI'S PROBLEM WITH TRIBONACCI NUMBERS AND POWERS OF 22017-09-18Paper
On a problem of Pillai with Fibonacci numbers and powers of 22017-08-31Paper
Powers of two as sums of two k-Fibonacci numbers2017-08-25Paper
Corrigendum: `On the average number of divisors of the Euler function'2017-08-25Paper
Only finitely many Tribonacci Diophantine triples exist2017-08-14Paper
$p$-adic quotient sets2017-08-11Paper
On the $x$-coordinates of Pell equations which are Fibonacci numbers II2017-08-11Paper
Fibonacci factoriangular numbers2017-08-01Paper
Collinear CM-points2017-07-18Paper
The $r$th moment of the divisor function: an elementary approach2017-07-13Paper
Diophantine equations involving factorials2017-07-03Paper
Pell numbers with the Lehmer property2017-06-30Paper
MONOTONIC PHINOMIAL COEFFICIENTS2017-06-27Paper
On the $X$-coordinates of Pell equations which are Tribonacci numbers2017-06-20Paper
https://portal.mardi4nfdi.de/entity/Q52676582017-06-13Paper
Counting permutation equivalent degree six binary polynomials invariant under the cyclic group2017-05-29Paper
https://portal.mardi4nfdi.de/entity/Q29726352017-04-07Paper
Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials2017-03-03Paper
Quadratic forms representing \(p\)th terms of Lucas sequences2017-02-24Paper
https://portal.mardi4nfdi.de/entity/Q29609722017-02-17Paper
Multiplicative independence in \(k\)-generalized Fibonacci sequences2017-02-03Paper
On arithmetic lattices in the plane2017-01-30Paper
An elliptic sequence is not a sampled linear recurrence sequence2017-01-03Paper
https://portal.mardi4nfdi.de/entity/Q29531002017-01-03Paper
On the $X$-coordinates of Pell equations which are Tribonacci numbers2016-12-30Paper
Diophantine triples of Fibonacci numbers2016-11-18Paper
Amicable pairs with few distinct prime factors2016-10-25Paper
https://portal.mardi4nfdi.de/entity/Q28283892016-10-25Paper
Clases de potencias de dos en sucesiones k-generalizadas de Fibonacci2016-10-25Paper
Multiplicative Diophantine equations with factors from different Lucas sequences2016-09-13Paper
An explicit bound for the number of partitions into roots2016-08-18Paper
On consecutive integers divisible by the number of their divisors2016-07-08Paper
The Distribution of Self-Fibonacci Divisors2016-05-20Paper
Diophantine quadruples in the sequence of shifted Tribonacci numbers2016-05-03Paper
https://portal.mardi4nfdi.de/entity/Q28030272016-05-03Paper
On the Parity of the Number of Small Divisors of n2016-04-18Paper
On a variant of Giuga numbers2016-04-07Paper
https://portal.mardi4nfdi.de/entity/Q27875952016-03-04Paper
On a divisibility relation for Lucas sequences2016-02-29Paper
Cyclotomic coefficients: gaps and jumps2016-02-29Paper
Finiteness results for Diophantine triples with repdigit values2016-02-24Paper
FACTORIALS AND THE RAMANUJAN FUNCTION2016-01-18Paper
Multiplicatively dependent triples of Tribonacci numbers2016-01-06Paper
https://portal.mardi4nfdi.de/entity/Q34576422015-12-16Paper
Functional graphs of polynomials over finite fields2015-12-11Paper
Visual properties of generalized Kloosterman sums2015-12-07Paper
https://portal.mardi4nfdi.de/entity/Q34519532015-11-18Paper
https://portal.mardi4nfdi.de/entity/Q34508512015-11-09Paper
Carmichael numbers in the sequence $(2^n k+1)_{n\geq 1}$2015-11-02Paper
https://portal.mardi4nfdi.de/entity/Q34484922015-10-23Paper
How Often is n! a Sum of Three Squares?2015-10-14Paper
Power values of the product of the Euler function and the sum of divisors function2015-10-07Paper
\(L\)-polynomials of function fields and Fibonacci numbers2015-09-22Paper
Tribonacci Diophantine quadruples2015-09-15Paper
Harmonious pairs2015-09-11Paper
On the equation φ(Xm- 1) = Xn- 12015-09-11Paper
Rational products of singular moduli2015-09-09Paper
On the Diophantine equation \(F_n^x+F_{n+1}^x=F_m^y\)2015-08-25Paper
Lucas Numbers with Lehmer Property2015-08-24Paper
On the fixed points of the map \(x \mapsto x^x\) modulo a prime2015-05-29Paper
On the distance between generalized Fibonacci numbers2015-05-27Paper
On the system of Diophantine equations \((m^2 - 1)^r + b^2 = c^2\) and \((m^2 - 1)^x + b^y = c^z\)2015-05-13Paper
Arithmetic properties of the sum of the first \(n\) values of the Euler function2015-05-04Paper
The range of the sum-of-proper-divisors function2015-04-22Paper
On shifted primes with large prime factors and their products2015-04-17Paper
ON THE EQUATION 𝜙(5m- 1) = 5n- 12015-04-17Paper
https://portal.mardi4nfdi.de/entity/Q49822062015-03-24Paper
https://portal.mardi4nfdi.de/entity/Q51791032015-03-19Paper
Coincidences in generalized Lucas sequences2015-03-19Paper
Linear combinations of factorials and \(S\)-units in a binary recurrence sequence2015-03-03Paper
https://portal.mardi4nfdi.de/entity/Q51761442015-03-02Paper
Quadratic forms representing the $p$-th Fibonacci number2015-02-15Paper
Repdigits in \(k\)-Lucas sequences2015-02-12Paper
Repdigits as sums of two \(k\)-Fibonacci numbers2015-02-03Paper
Sierpiński and Carmichael numbers2015-02-02Paper
On the formula Fp = u2 + pv22015-01-21Paper
On integers which are the sum of a power of 2 and a polynomial value2015-01-19Paper
The image of Carmichael's \(\lambda\)-function2014-12-22Paper
Erratum to: ``On the length of arithmetic progressions in linear combinations of \(S\)-units2014-12-03Paper
An exponential Diophantine equation related to the sum of powers of two consecutive k-generalized Fibonacci numbers2014-12-03Paper
On the counting function of irregular primes2014-11-27Paper
Squares and factorials in products of factorials2014-11-14Paper
A note on the denominators of Bernoulli numbers2014-10-29Paper
A note on the number of $S$-Diophantine quadruples2014-10-22Paper
VSH and multiplicative modular relations between small primes with polynomial exponents2014-09-18Paper
Linear independence of certain Lambert series2014-09-16Paper
Corrigendum to ``Coincidences in generalized Fibonacci sequences2014-09-09Paper
https://portal.mardi4nfdi.de/entity/Q31892052014-09-09Paper
https://portal.mardi4nfdi.de/entity/Q28779092014-08-28Paper
Generalized poly-Cauchy polynomials and their interpolating functions2014-08-14Paper
Arithmetic functions monotonic at consecutive arguments2014-08-14Paper
On the local behavior of the order of appearance in the Fibonacci sequence2014-07-28Paper
https://portal.mardi4nfdi.de/entity/Q51674172014-07-09Paper
On the sum of two divisors of \((n^2+1)/2\)2014-06-13Paper
The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence2014-05-26Paper
https://portal.mardi4nfdi.de/entity/Q54177552014-05-22Paper
https://portal.mardi4nfdi.de/entity/Q54177622014-05-22Paper
https://portal.mardi4nfdi.de/entity/Q54177632014-05-22Paper
On the sum of the first n values of the Euler function2014-05-14Paper
https://portal.mardi4nfdi.de/entity/Q54143052014-05-02Paper
https://portal.mardi4nfdi.de/entity/Q54134592014-04-30Paper
https://portal.mardi4nfdi.de/entity/Q54129082014-04-28Paper
Expansions of binary recurrences in the additive base formed by the number of divisors of the factorial2014-04-15Paper
IRRATIONALITY OF LAMBERT SERIES ASSOCIATED WITH A PERIODIC SEQUENCE2014-04-11Paper
Algebraic independence of infinite products generated by Fibonacci and Lucas numbers2014-04-11Paper
On groups with perfect order subsets2014-04-11Paper
On the Counting Function of Elliptic Carmichael Numbers2014-04-02Paper
https://portal.mardi4nfdi.de/entity/Q54042472014-03-24Paper
https://portal.mardi4nfdi.de/entity/Q54043192014-03-24Paper
Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields2014-03-12Paper
https://portal.mardi4nfdi.de/entity/Q54024652014-03-07Paper
On the range of Carmichael's universal-exponent function2014-03-03Paper
Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations2014-02-17Paper
https://portal.mardi4nfdi.de/entity/Q53956212014-02-17Paper
-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCES2014-01-14Paper
https://portal.mardi4nfdi.de/entity/Q28698832014-01-07Paper
https://portal.mardi4nfdi.de/entity/Q28691432014-01-03Paper
On the least common multiple of Lucas subsequences2013-12-20Paper
https://portal.mardi4nfdi.de/entity/Q28688002013-12-19Paper
On the Sum of Digits of Numerators of Bernoulli Numbers2013-11-20Paper
On a Diophantine equation of Ayad and Kihel2013-11-19Paper
Errata to “On the largest prime factor of $x^2-1$”2013-11-15Paper
Concatenating perfect powers2013-11-11Paper
On a conjecture about repdigits in k-generalized Fibonacci sequences2013-11-07Paper
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On numbers \(n\) for which the prime factors of \(\sigma(n)\) are among the prime factors on \(n\)2004-10-28Paper
https://portal.mardi4nfdi.de/entity/Q48204812004-10-15Paper
https://portal.mardi4nfdi.de/entity/Q48214332004-10-13Paper
On the number of nonquadratic residues which are not primitive roots2004-10-07Paper
On integers which are not differences of two powers2004-09-15Paper
Noncototients and Nonaliquots2004-09-14Paper
https://portal.mardi4nfdi.de/entity/Q48122372004-09-07Paper
https://portal.mardi4nfdi.de/entity/Q48148792004-09-07Paper
https://portal.mardi4nfdi.de/entity/Q48148872004-09-07Paper
https://portal.mardi4nfdi.de/entity/Q48152222004-09-07Paper
Character sums and congruences with 𝑛!2004-09-06Paper
On the complexity of algebraic numbers2004-08-20Paper
The diophantine equation x2=pa±pb+12004-08-18Paper
Sur la proximité des nombres puissants2004-08-18Paper
A quantitative lower bound for the greatest prime factor of (ab+1)(bc+1)(ca+1)2004-08-18Paper
https://portal.mardi4nfdi.de/entity/Q44725672004-07-01Paper
On the Diophantine equation \(p^{x_1} - p^{x_2} = q^{y_1} - q^{y_2}\)2004-06-15Paper
On the greatest common divisor of two Cullen numbers2004-05-18Paper
On the largest prime factor of \((ab+1)(ac+1)(bc+1)\)2004-03-30Paper
https://portal.mardi4nfdi.de/entity/Q44455702004-02-02Paper
On the prime power factorization of \(n\)!2004-01-12Paper
https://portal.mardi4nfdi.de/entity/Q44413932004-01-06Paper
https://portal.mardi4nfdi.de/entity/Q44315282003-10-22Paper
Products of factorials modulo p2003-09-09Paper
Palindromes in Lucas sequences2003-08-20Paper
On the equation \(1!^k+2!^k+\cdots+n!^k=x^2\)2003-08-06Paper
https://portal.mardi4nfdi.de/entity/Q44153522003-08-06Paper
Fermat Primes and Heron Triangles with Prime Power Sides2003-08-03Paper
https://portal.mardi4nfdi.de/entity/Q45516122003-07-27Paper
Composition factors from the table of marks2003-07-17Paper
https://portal.mardi4nfdi.de/entity/Q27850332003-07-02Paper
Euler indicators of binary recurrence sequences.2003-06-30Paper
On some arithmetic properties of polynomial expressions involving Stirling numbers of the second kind2003-06-12Paper
Arithmetic properties of members of a binary recurrent sequence2003-06-12Paper
Average multiplicative orders of elements modulo n2003-06-12Paper
Distinct digits in basebexpansions of linear recurrence sequences2003-05-19Paper
https://portal.mardi4nfdi.de/entity/Q42559232003-04-21Paper
On the convergence of series of reciprocals of primes related to the Fermat numbers2003-04-02Paper
The product of like-indexed terms in binary recurrences2003-03-23Paper
https://portal.mardi4nfdi.de/entity/Q27079632003-03-12Paper
On the diophantine equation 𝑥²=4𝑞^{𝑚}-4𝑞ⁿ+12003-01-28Paper
https://portal.mardi4nfdi.de/entity/Q44440052003-01-01Paper
On an diophantine equation2002-11-17Paper
https://portal.mardi4nfdi.de/entity/Q47818362002-11-13Paper
https://portal.mardi4nfdi.de/entity/Q31508862002-10-20Paper
On a question of G. Kuba2002-08-23Paper
On the equation \(x^2 + 2^a \cdot 3^b = y^n\)2002-08-13Paper
On the equation \ x^y\pm y^x=\prod n_i!2002-07-14Paper
https://portal.mardi4nfdi.de/entity/Q45253132002-07-14Paper
Divisibility properties of binary recurrent sequences2002-07-11Paper
Sums of factorials in binary recurrence sequences2002-07-10Paper
Binomial coefficients and Lucas sequences2002-07-10Paper
17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová2002-03-06Paper
https://portal.mardi4nfdi.de/entity/Q49410032002-02-24Paper
On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions φ and σ2002-02-21Paper
https://portal.mardi4nfdi.de/entity/Q27705892002-02-13Paper
Products of factorials in binary recurrence sequences2002-02-07Paper
https://portal.mardi4nfdi.de/entity/Q48054292002-01-01Paper
The Number of Non-Zero Digits of n!2002-01-01Paper
Squares in Lehmer sequences and some Diophantine applications2001-12-11Paper
https://portal.mardi4nfdi.de/entity/Q45195822001-12-05Paper
The Anti-Social Fermat Number2001-11-26Paper
A generalization of a theorem of Cohn on the equation \(x^3-Ny^2=\pm 1\)2001-11-12Paper
Another note on the greatest prime factors of Fermat numbers2001-09-09Paper
https://portal.mardi4nfdi.de/entity/Q27247392001-09-04Paper
https://portal.mardi4nfdi.de/entity/Q27247402001-09-04Paper
https://portal.mardi4nfdi.de/entity/Q27143822001-06-13Paper
A note on \(r\)-full numbers of the form \(l^m+k\)2001-06-12Paper
On the equation $\varphi (|x^m-y^m|)=2^n$2001-06-10Paper
On the solutions of the congruence 𝑛²≡1(𝑚𝑜𝑑𝜙²(𝑛))2001-05-14Paper
https://portal.mardi4nfdi.de/entity/Q44934242001-04-04Paper
On the equation \(y^x\pm x^y=z^2\)2001-04-01Paper
The negative Pell equation and Pythagorean triples2001-02-28Paper
On a conjecture of Erdős and Stewart2001-02-19Paper
https://portal.mardi4nfdi.de/entity/Q45277522001-01-29Paper
On a conjecture of Mąkowski and Schinzel concerning the composition of the arithmetic functions σ and ϕ2001-01-07Paper
Infinite families of noncototients2001-01-07Paper
Perfect Fibonacci and Lucas numbers2000-06-21Paper
https://portal.mardi4nfdi.de/entity/Q49431262000-03-16Paper
https://portal.mardi4nfdi.de/entity/Q49360842000-01-20Paper
https://portal.mardi4nfdi.de/entity/Q42241011999-12-02Paper
Mackey functors with chain conditions1999-08-16Paper
https://portal.mardi4nfdi.de/entity/Q42241461999-08-02Paper
Groups with two Sylow numbers are solvable1999-07-07Paper
https://portal.mardi4nfdi.de/entity/Q42548351999-06-29Paper
On the equation \(\varphi(| x^m+y^m|)=| x^n+ y^n|\)1999-06-20Paper
https://portal.mardi4nfdi.de/entity/Q42240951999-06-08Paper
https://portal.mardi4nfdi.de/entity/Q42135031999-05-05Paper
https://portal.mardi4nfdi.de/entity/Q44000361999-02-04Paper
https://portal.mardi4nfdi.de/entity/Q43783611998-07-27Paper
https://portal.mardi4nfdi.de/entity/Q48694081996-07-21Paper

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