| Publication | Date of Publication | Type |
|---|
| Integers with a sum of co-divisors yielding a square | 2024-04-03 | Paper |
| SPACINGS BETWEEN SELECTED PRIME DIVISORS OF AN INTEGER | 2023-08-25 | Paper |
| Sums of arithmetic functions running on factorials | 2023-08-18 | Paper |
| On the tower factorization of integers | 2023-08-17 | Paper |
| On the quotient of the logarithms of the middle divisors of an integer | 2023-02-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5057571 | 2022-12-16 | Paper |
| Consecutive neighbour spacings between the prime divisors of an integer | 2022-10-12 | Paper |
| On the consecutive prime divisors of an integer | 2022-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5016588 | 2021-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5158639 | 2021-10-25 | Paper |
| On key applications of the Turán-Kubilius inequality | 2021-09-29 | Paper |
| Almost-additive and almost-multiplicative functions with regularity properties | 2021-09-09 | Paper |
| Bounds for the counting function of the Jordan-P\'olya numbers | 2021-07-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4989880 | 2021-05-26 | Paper |
| Repetitions of multinomial coefficients and a generalization of Singmaster's conjecture | 2021-05-03 | Paper |
| On the variations of completely multiplicative functions at consecutive arguments | 2021-04-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5149793 | 2021-02-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5149794 | 2021-02-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5149795 | 2021-02-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5149812 | 2021-02-08 | Paper |
| Partitioning the Set of Primes to Create r-Dimensional Sequences Which are Uniformly Distributed Modulo [0, 1) r | 2021-01-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5141901 | 2020-12-27 | Paper |
| New upper bounds for the number of divisors function | 2020-10-20 | Paper |
| Further generalisations of a classical theorem of Daboussi | 2020-10-20 | Paper |
| Bounds for the counting function of the Jordan-Pólya numbers | 2020-09-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5116660 | 2020-08-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4972038 | 2019-11-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5244184 | 2019-11-20 | Paper |
| Complex roots of unity and normal numbers | 2019-11-20 | Paper |
| Consecutive Integers with Close Kernels | 2019-11-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5237756 | 2019-10-18 | Paper |
| Distribution of arithmetic functions on particular subsets of integers | 2019-07-18 | Paper |
| On the values of the Euler function around shifted primes | 2019-06-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5379578 | 2019-06-12 | Paper |
| On the divisors of shifted primes | 2019-05-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4612107 | 2019-01-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4568534 | 2018-06-21 | Paper |
| On the proximity of multiplicative functions to the number of distinct prime factors function | 2018-05-24 | Paper |
| On the proximity of additive and multiplicative functions | 2018-04-20 | Paper |
| On properties of sharp normal numbers and of non-Liouville numbers | 2018-04-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4605557 | 2018-02-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4605558 | 2018-02-22 | Paper |
| Corrigendum to ``Positive integers divisible by the product of their nonzero digits, portugaliae math. 64 (2007), 1: 75 -- 85 | 2018-01-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5350107 | 2017-08-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5350114 | 2017-08-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5350127 | 2017-08-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5350128 | 2017-08-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5350129 | 2017-08-25 | Paper |
| On the $k$-fold iterate of the sum of divisors function | 2017-03-29 | Paper |
| Additive and Multiplicative Functions with Similar Global Behavior | 2017-03-06 | Paper |
| Multidimensional Sequences Uniformly Distributed Modulo 1 Created from Normal Numbers | 2017-03-06 | Paper |
| On Strong Normality | 2016-12-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2834244 | 2016-11-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2827689 | 2016-10-20 | Paper |
| On a Property of Non Liouville Numbers | 2016-05-03 | Paper |
| Shifted values of the largest prime factor function and its average value in short intervals | 2016-02-24 | Paper |
| On the convolution of the Liouville function under the existence of Siegel zeros | 2015-10-22 | Paper |
| The Number of Prime Factors Function on Shifted Primes and Normal Numbers | 2015-09-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2944114 | 2015-09-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5178945 | 2015-03-18 | Paper |
| Normal numbers generated using the smallest prime factor function | 2015-03-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2937595 | 2015-01-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3189205 | 2014-09-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2879404 | 2014-08-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2877913 | 2014-08-28 | Paper |
| Arithmetic functions monotonic at consecutive arguments | 2014-08-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5166952 | 2014-07-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5166797 | 2014-07-08 | Paper |
| Normal numbers and the middle prime factor of an integer | 2014-06-10 | Paper |
| On the coprimality of some arithmetic functions | 2014-04-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5404210 | 2014-03-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5404247 | 2014-03-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5404296 | 2014-03-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5404319 | 2014-03-24 | Paper |
| Prime-like sequences leading to the construction of normal numbers | 2014-02-11 | Paper |
| Exponential sums and arithmetic functions at polynomial values | 2014-01-15 | Paper |
| Construction of normal numbers by classified prime divisors of integers. II | 2013-10-21 | Paper |
| CONSTRUCTION OF NORMAL NUMBERS USING THE DISTRIBUTION OF THE LARGEST PRIME FACTOR | 2013-09-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5326664 | 2013-08-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5326684 | 2013-08-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4919359 | 2013-05-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3224872 | 2012-04-02 | Paper |
| Construction of normal numbers by classified prime divisors of integers | 2011-12-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3104229 | 2011-12-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3106116 | 2011-12-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3106138 | 2011-12-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3106187 | 2011-12-19 | Paper |
| On the Distance Between Smooth Numbers | 2011-11-15 | Paper |
| Arithmetic functions and their coprimality | 2011-11-03 | Paper |
| ON A PROBLEM ON NORMAL NUMBERS RAISED BY IGOR SHPARLINSKI | 2011-10-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3087174 | 2011-08-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3004878 | 2011-06-06 | Paper |
| Counting the number of twin Niven numbers | 2011-05-27 | Paper |
| Exponential sums involving the largest prime factor function | 2011-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3062405 | 2011-01-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3550105 | 2010-03-30 | Paper |
| The Product of Exponents in the Factorization of Consecutive Integers | 2010-02-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5325381 | 2009-08-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5325500 | 2009-08-10 | Paper |
| ON THE INDEX OF COMPOSITION OF THE EULER FUNCTION AND OF THE SUM OF DIVISORS FUNCTION | 2009-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3634695 | 2009-06-25 | Paper |
| On strings of consecutive integers with a distinct number of prime factors | 2009-05-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3539407 | 2008-11-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3499303 | 2008-05-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5387550 | 2008-05-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5447693 | 2008-03-20 | Paper |
| Positive integers whose Euler function is a power of their kernel function | 2008-03-14 | Paper |
| Distribution of arithmetic functions on certain subsets of integers | 2008-03-14 | Paper |
| Integers divisible by sums of powers of their prime factors | 2008-03-05 | Paper |
| On the local distribution of certain arithmetic functions | 2008-02-18 | Paper |
| Positive integers divisible by the product of their nonzero digits | 2008-01-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5421108 | 2007-10-22 | Paper |
| On the index of composition of integers from various sets | 2007-07-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3433196 | 2007-04-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3433275 | 2007-04-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3428743 | 2007-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3428788 | 2007-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3428605 | 2007-03-28 | Paper |
| Integers representable as the sum of powers of their prime factors | 2007-03-20 | Paper |
| Sur la quantité de nombres économiques | 2007-03-13 | Paper |
| On the composition of the Euler function and the sum of divisors function | 2007-03-13 | Paper |
| Sums of reciprocals of additive functions running over short intervals | 2007-01-10 | Paper |
| Integers Divisible by the Sum of their Prime Factors | 2006-11-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5478052 | 2006-06-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3377507 | 2006-03-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3373891 | 2006-03-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5694689 | 2005-10-04 | Paper |
| On the mean value of the index of composition of an integer | 2005-08-05 | Paper |
| On the difference of values of the kernel function at consecutive integers | 2005-05-09 | Paper |
| Powerful numbers in short intervals | 2005-03-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4831452 | 2004-12-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4815661 | 2004-09-07 | Paper |
| Sur la proximité des nombres puissants | 2004-08-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4434195 | 2003-11-04 | Paper |
| Concerning the composition index of numbers | 2003-08-20 | Paper |
| On a thin set of integers involving the largest prime factor function | 2003-06-18 | Paper |
| On the counting function for the Niven numbers | 2003-06-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4807467 | 2003-05-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4807509 | 2003-05-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3150861 | 2002-10-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2774634 | 2002-02-26 | Paper |
| On the unimodal character of the frequency function of the largest prime factor | 2001-06-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4502909 | 2000-09-13 | Paper |
| Arithmetic functions and weighted averages | 1999-11-16 | Paper |
| Arithmetic characterization of regularly varying functions | 1999-06-21 | Paper |
| A new characteristic of the identity function | 1997-10-01 | Paper |
| Mean values over certain sets of divisors of an integer | 1996-10-20 | Paper |
| On the distribution of subsets of primes in the prime factorization of integers | 1996-01-07 | Paper |
| On the largest prime factor of an integer | 1994-01-06 | Paper |
| On the Normal Growth of Prime Factors of Integers | 1993-03-09 | Paper |
| Additive Functions Monotonic on the Set of Primes II | 1992-09-27 | Paper |
| On the average prime factor of an integer and some related problems | 1992-06-27 | Paper |
| Additive functions monotonic on the set of primes | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5754032 | 1990-01-01 | Paper |
| Continuity module of the distribution of additive functions related to the largest prime factors of integers | 1990-01-01 | Paper |
| Fonctions arithmétiques tronquées. (Truncated arithmetic functions) | 1990-01-01 | Paper |
| Les fonctions arithmétiques et le plus grand facteur premier | 1989-01-01 | Paper |
| The average prime divisor of an integer in short intervals | 1989-01-01 | Paper |
| Additive functions and the largest prime factor of integers | 1989-01-01 | Paper |
| Some randomly selected arithmetical sums | 1988-01-01 | Paper |
| Sums involving the largest prime divisor of an integer. II | 1988-01-01 | Paper |
| Sums involving the largest prime divisor of an integer | 1987-01-01 | Paper |
| The Intermediate Prime Divisors of Integers | 1987-01-01 | Paper |
| On the Distance Between Consecutive Divisors of an Integer | 1985-01-01 | Paper |
| The distribution of the average prime divisor of an integer | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3344061 | 1984-01-01 | Paper |
| Reciprocals of Certain Large Additive Functions | 1981-01-01 | Paper |
| Sums of reciprocals of certain additive functions | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3884195 | 1980-01-01 | Paper |
| An Asymptotic Formula for Reciprocals of Logarithms of Certain Multiplicative Functions | 1978-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3927321 | 1978-01-01 | Paper |
| Remarque Sur un Article de T. M. Apostol | 1977-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4146808 | 1977-01-01 | Paper |
| Sums of Quotients of Additive Functions | 1974-01-01 | Paper |
| Trigonometric Identities | 1974-01-01 | Paper |
| Sums of reciprocals of additive functions | 1974-01-01 | Paper |
| On a class of arithmetical functions | 1972-01-01 | Paper |
