zbMath0606.10011MaRDI QIDQ3744223
Tarlok N. Shorey, Robert Tijdeman
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
On integers with identical digits,
Exponential Diophantine Equations,
The orbit intersection problem in positive characteristic,
Primary cyclotomic units and a proof of Catalans conjecture,
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Terms of recurrence sequences in the solution sets of generalized Pell equations,
On Nearly Linear Recurrence Sequences,
Transcendency Results for Sums of Reciprocals of Linear Recurrences,
Lineare rekurrente Folgen auf elliptischen Kurven,
Diophantine equations with three monomials,
Sums of \(S\)-units in sum of terms of recurrence sequences,
On prime powers in linear recurrence sequences,
DIOPHANTINE EQUATIONS OF THE FORM OVER FUNCTION FIELDS,
Common values of Padovan and Perrin sequences,
Reverse engineered Diophantine equations over \(\mathbb{Q}\),
On the separation of the roots of the generalized Fibonacci polynomial,
On the size of roots of a family of polynomials related to linear recurrence sequences,
Solving Skolem's problem for the \(k\)-generalized Fibonacci sequence with negative indices,
Terms of recurrence sequences in the solution sets of norm form equations,
Explicit formulae of linear recurrences,
‐PARTS OF TERMS OF INTEGER LINEAR RECURRENCE SEQUENCES,
FAMILIES OF THUE EQUATIONS ASSOCIATED WITH A RANK ONE SUBGROUP OF THE UNIT GROUP OF A NUMBER FIELD,
Simultaneous Pellian equations,
Powers in Finitely Generated Groups,
On multiplicative decompositions of polynomial sequences, II,
Applications of the Subspace Theorem to Certain Diophantine Problems,
On the Diophantine Equation G n (x) = G m (y) with Q (x, y)=0,
The Set of Solutions of Some Equation for Linear Recurrence Sequences,
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Ledrappier’s system is almost mixing of all orders,
Thue Diophantine Equations,
On Lebesgue–Ramanujan–Nagell Type Equations,
ON PERFECT POWERS IN LINEAR RECURRENCE SEQUENCES OF INTEGERS,
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Solving a Specific Thue-Mahler Equation,
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The trinomial transform triangle,
A computational approach for solving $y^2=1^k+2^k+\dotsb+x^k$,
On the equation \(1^{k}+2^{k}+\cdots +x^{k}=y^{n}\) for fixed \(x\),
Pascal pyramid in the space $\mathbf{H}^2\!\times\!\mathbf{R}$,
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On the exponential Diophantine equation Pxn+Pxn+1=Pm,
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The Diophantine equation x2+3 = yn,
Norm form equations with solutions taking values in a multi-recurrence,
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Skolem’s conjecture confirmed for a family of exponential equations, II,
Polynomial values of surface point counting polynomials,
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DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES),
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Effective bounds for the zeros of linear recurrences in function fields,
On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields,
On perfect powers that are sums of two Pell numbers,
Lucas sequences whose 12th or 9th term is a square,
Sums of \(S\)-units in recurrence sequences,
Quasi-locally finite polynomial endomorphisms,
Effective analysis of integral points on algebraic curves,
Some Ramanujan-Nagell equations with many solutions,
On the hyperbolic Pascal pyramid,
Matrix decompositions using displacement rank and classes of commutative matrix algebras,
Solving norm form equations via lattice basis reduction,
Diophantine equations with linear recurrences. An overview of some recent progress,
On the practical solution of the Thue equation,
On S-unit equations in two unknowns,
The Catalan equation,
Matrix displacement decompositions and applications to Toeplitz linear systems,
Linear forms in the logarithms of three positive rational numbers,
Trinomials with integral \(S\)-unit coefficients having a quadratic factor,
On the characteristic polynomial of \((k,p)\)-Fibonacci sequence,
Coprime partitions and Jordan totient functions,
On characteristic polynomial of higher order generalized Jacobsthal numbers,
On the sum of powers of terms of a linear recurrence sequence,
A family of Thue equations involving powers of units of the simplest cubic fields,
Multiperfect numbers with identical digits,
Generalized Cullen numbers in linear recurrence sequences,
\(S\)-parts of sums of terms of linear recurrence sequences,
Sums of \(S\)-units in the solution sets of generalized Pell equations,
Algebraic independence of the values of power series and their derivatives generated by linear recurrences,
On finiteness of odd superperfect numbers,
Linear combinations of prime powers in binary recurrence sequences,
Cullen numbers in sums of terms of recurrence sequence,
Uniformly distributed orbits in \(\mathbb{T}^d\) and singular substitution dynamical systems,
Switching reconstruction and diophantine equations,
Uniform distribution of linear recurring sequences modulo prime powers.,
On the diophantine equation \(ap^ x+bq^ y=c+dp^ zq^ w\),
On the number of distinct prime factors of a sum of super-powers,
Solving explicitly \(F(x,y)=G(x,y)\) over function fields,
On the greatest prime factor and divisibility properties of linear recursive sequences,
On the gcd's of \(k\) consecutive terms of Lucas sequences,
Measures of linear independence for values of entire transcendental solutions of certain functional equations. II,
On the greatest common divisor of two Cullen numbers,
On \(p^x-q^y=c\) and related three term exponential Diophantine equations with prime bases.,
Measures of linear independence of values of entire transcendental solutions of certain functional equations,
On trinomials having irreducible quadratic factors,
On some polynomial values of repdigit numbers,
On some combinations of terms of a recurrence sequence,
Fibonacci numbers at most one away from a perfect power,
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On a diophantine problem of P. Erdős,
On the irreducibility of a truncated binomial expansion,
On the Terai-Jésmanowicz conjecture,
The diophantine equation \(x^ 2 + 2^ k = y^ n\),
Binomial Thue equations, ternary equations and power values of polynomials,
Algebraic independence over \(\mathbb Q_p\),
Linear combinations of factorials and \(S\)-units in a binary recurrence sequence,
The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I,
Common factors of shifted Fibonacci numbers,
Arithmetic properties of the Ramanujan function,
Some Diophantine properties of the sequence of \(S\)-units,
On the Diophantine equation \(\frac{x^3-1}{x-1}=\frac{y^n-1}{y-1}\),
Optimal systems of fundamental \(S\)-units for LLL-reduction,
Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations,
Solving exponential diophantine equations using lattice basis reduction algorithms,
Power values of certain quadratic polynomials,
A Hasse-type principle for exponential Diophantine equations over number fields and its applications,
Free pairs of symmetric elements in normal subgroups of division rings,
Duplications In the \(k\)-generalized Fibonacci sequences,
On \(Y\)-coordinates of Pell equations which are members of a fixed binary recurrence,
Almost powers in the Lucas sequence,
Difference between powers and squares of integers,
On the Diophantine equation \(la^x + mb^y = nc^z\),
The ABC conjecture and the powerful part of terms in binary recurring sequences,
Calculating ``small solutions of inhomogeneous relative Thue inequalities, A note on the Diophantine equation \((x + a_1)^{r_1} + (x + a_2)^{r_2} + \cdots + (x + a_m)^{r_m} = y^n\), On the spacings between \(C\)-nomial coefficients, On the Shorey-Tijdeman Diophantine equation involving terms of Lucas sequences, On Prime Factors of Terms of Linear Recurrence Sequences, Strictly Hermitian positive definite functions, The dynamical Mordell-Lang problem for intersection of two orbits, Combinatorial numbers in binary recurrences, Diophantine equations with products of consecutive terms in Lucas sequences, Common values of a class of linear recurrences, On the location of roots of the characteristic polynomial of \((p, q)\)-distance Fibonacci sequences, On the multiplicities of Padovan-type sequences, The zero multiplicity of linear recurrence sequences, The Fermat equation with polynomial values as base variables, Multiplicities of algebraic linear recurrences, On a conjecture of Schäffer concerning the equation \(1^k + \ldots + x^k = y^n\), Linear forms in Lucas numbers, On two conjectures regarding generalized sequence of derangements, Sums of factorials in binary recurrence sequences, Binomial coefficients and Lucas sequences, Divisibility properties of binary recurrent sequences, The equations \(2^N\pm 2^M\pm 2^L=z^2\), On numbers with a large prime power factor, On a Diophantine equation involving Fibonacci numbers and the Ramanujan \(\tau\)-function of factorials, Irrationality results for reciprocal sums of certain Lucas numbers, Consecutive tuples of multiplicatively dependent integers, Pillai's conjecture revisited., On the Diophantine equation \(P_m=P_n^x+P_{n+1}^x\) with Padovan numbers