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All published works
Action
Title
Year
Authors
+
PDF
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Kitaoka's Conjecture for quadratic fields
2025
Vítězslav Kala
Jakub Krásenský
Dayoon Park
Pavlo Yatsyna
Błażej Żmija
+
PDF
Chat
Connections between numbers counting certain permutations
2024
Piotr Miska
Błażej Żmija
+
PDF
Chat
High order congruences for M-ary partitions
2024
Błażej Żmija
+
PDF
Chat
$M$-ary partition polynomials
2024
Błażej Żmija
+
PDF
Chat
High order congruences for $M$-ary partitions
2024
Błażej Żmija
+
Arithmetic properties of colored p-ary partitions
2023
Błażej Żmija
+
PDF
Chat
Unusual class of polynomials related to partitions
2023
Błażej Żmija
+
Real quadratic fields with a universal form of given rank have density zero
2023
Vítězslav Kala
Pavlo Yatsyna
Błażej Żmija
+
PDF
Chat
On p-adic valuations of certain m colored p-ary partition functions
2020
Maciej Ulas
Błażej Żmija
+
Recurrence sequences connected with the m–ary partition function and their divisibility properties
2019
Błażej Żmija
+
A note on primes with prime indices
2019
Błażej Żmija
+
On arithmetic properties of binary partition polynomials
2019
Maciej Ulas
Błażej Żmija
+
On $p$-adic valuations of certain $m$ colored $p$-ary partition functions
2019
Maciej Ulas
Błażej Żmija
+
PDF
Chat
A new upper bound for numbers with the Lehmer property and its application to repunit numbers
2019
Dominik Burek
Błażej Żmija
+
A note on primes with prime indices
2019
Błażej Żmija
+
On distribution of subsequences of primes having prime indices with respect to the $(R)$-denseness and convergence exponent
2019
Piotr Miska
János T. Tóth
Błażej Żmija
+
On $p$-adic valuations of certain $m$ colored $p$-ary partition functions
2019
Maciej Ulas
Błażej Żmija
+
PDF
Chat
On p-adic valuations of colored p-ary partitions
2018
Maciej Ulas
Błażej Żmija
+
On $p$-adic valuations of colored $p$-ary partitions
2018
Maciej Ulas
Błażej Żmija
+
A new upper bound for numbers with the Lehmer property and its application to repunit numbers
2018
Dominik Burek
Błażej Żmija
+
On $p$-adic valuations of colored $p$-ary partitions
2018
Maciej Ulas
Błażej Żmija
+
A new upper bound for numbers with the Lehmer property and its application to repunit numbers
2018
Dominik Burek
Błażej Żmija
+
Power values of arithmetic functions
2017
Błażej Żmija
+
Recurrence sequences connected with the $m$--ary partition function and their divisibility properties
2017
Błażej Żmija
+
Recurrence sequences connected with the $m$--ary partition function and their divisibility properties
2017
Błażej Żmija
Common Coauthors
Coauthor
Papers Together
Maciej Ulas
7
Dominik Burek
3
Vítězslav Kala
2
Pavlo Yatsyna
2
Piotr Miska
2
Dayoon Park
1
János T. Tóth
1
Jakub Krásenský
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Some arithmetical properties of<i>m</i>-ary partitions
1970
Øystein J. Rødseth
9
+
Congruence properties of the binary partition function
1969
R. F. Churchhouse
9
+
Proof of the Churchhouse conjecture concerning binary partitions
1971
Hansraj Gupta
7
+
On m-ary Partition Function Congruences: A Fresh Look at a Past Problem
2001
Øystein J. Rødseth
James A. Sellers
6
+
On <i>m</i>-ary partitions
1972
Hansraj Gupta
6
+
Congruence properties of the m-ary partition function
1971
George E. Andrews
4
+
Characterizing the Number of <em>m</em>-ary Partitions Modulo <em>m</em>
2015
George E. Andrews
Aviezri S. Fraenkel
James A. Sellers
4
+
None
2003
Giedrius Alkauskas
3
+
PDF
Chat
Suites algébriques, automates et substitutions
1980
G. Christol
Teturo Kamae
Michel Mendès France
Gérard Rauzy
3
+
PDF
Chat
Arithmetic properties of coefficients of power series expansion of $$\prod _{n=0}^{\infty }\left( 1-x^{2^{n}}\right) ^{t}$$ ∏ n = 0 ∞ 1 - x 2 n t (with an appendix by Andrzej Schinzel)
2017
Maciej Gawron
Piotr Miska
Maciej Ulas
3
+
Congruences on the number of restricted m-ary partitions
2016
Qing-Hu Hou
Hai-Tao Jin
Yan-Ping Mu
Li Zhang
3
+
PDF
Chat
Séries trigonométriques et séries de Taylor
1906
P. Fatou
2
+
Computerizing the Andrews-Fraenkel-Sellers Proofs on the Number of m-ary partitions mod m (and doing MUCH more!)
2015
Shalosh B. Ekhad
Doron Zeilberger
2
+
Binary Partitions Revisited
2002
Øystein J. Rødseth
James A. Sellers
2
+
PDF
Chat
GENERALIZED CULLEN NUMBERS WITH THE LEHMER PROPERTY
2013
Daejun Kim
Byeong-Kweon Oh
2
+
Cullen numbers with the Lehmer property
2011
José María Grau
Florian Luca
2
+
On certain properties of prime numbers
1851
Frederick Pollock
2
+
PDF
Chat
The distribution of the number of parts of $m$-ary partitions modulo $m$
2017
Tom Edgar
2
+
PDF
Chat
Congruences for $m$-ary partitions.
1975
Gunnar Dirdal
2
+
Arithmetic Properties of m-ary Partitions Without Gaps
2017
George E. Andrews
Eduardo H. M. Brietzke
Øystein J. Rødseth
James A. Sellers
2
+
PDF
Chat
Pell numbers with the Lehmer property
2016
Bernadette Faye
Florian Luca
2
+
PDF
Chat
Odd perfect numbers, Diophantine equations, and upper bounds
2015
Pace P. Nielsen
2
+
The Theory of Partitions
1984
George E. Andrews
2
+
PDF
Chat
On p-adic valuations of colored p-ary partitions
2018
Maciej Ulas
Błażej Żmija
2
+
An Almost Linear Recurrence
1966
Donald Knuth
1
+
PDF
Chat
Approximate formulas for some functions of prime numbers
1962
J. Barkley Rosser
Lowell Schoenfeld
1
+
PDF
Chat
Carmichael numbers in the sequence $(2^n k+1)_{n\geq 1}$
2015
Javier Cilleruelo
Florian Luca
Amalia Pizarro-Madariaga
1
+
PDF
Chat
Fibonacci Numbers with the Lehmer Property
2007
Florian Luca
1
+
Algorithmic approach to counting of certain types m-ary partitions
2003
Valentin Bakoev
1
+
PDF
Chat
Repunit Lehmer numbers
2010
Javier Cilleruelo
Florian Luca
1
+
PDF
Chat
Combinatorial congruences modulo prime powers
2007
Zhi‐Wei Sun
Donald M. Davis
1
+
PDF
Chat
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
2004
Bertram Kostant
1
+
On a general class of non-squashing partitions
2016
Amanda Folsom
Youkow Homma
Jun Hwan Ryu
Benjamin Tong
1
+
PDF
Chat
Sur la lacunarité des puissances de η
1985
Jean-Pierre Serre
1
+
NEW BOUNDS AND COMPUTATIONS ON PRIME-INDEXED PRIMES
2014
Jonathan Bayless
Dominic Klyve
Tomás Oliveira e Silva
1
+
PDF
Chat
On cyclotomic factors of polynomials related to modular forms
2018
Bernhard Heim
Florian Luca
Markus Neuhauser
1
+
On the \(m\)-ary partition numbers
2018
Yasuyuki Kachi
Pavlos Tzermias
1
+
2-Adic valuations of coefficients of certain integer powers of formal power series
2018
Maciej Ulas
1
+
s-partitions
2002
William M. Y. Goh
Paweł Hitczenko
Ali Shokoufandeh
1
+
Stern polynomials
2006
Sandi Klavžar
Uroš Milutinović
Ciril Petr
1
+
Extension of results of Kostant and Han
2019
Bernhard Heim
Markus Neuhauser
1
+
On arithmetic properties of binary partition polynomials
2019
Maciej Ulas
Błażej Żmija
1
+
On interesting subsequences of the sequence of primes
2019
Piotr Miska
János T. Tóth
1
+
PDF
Chat
On p-adic valuations of certain m colored p-ary partition functions
2020
Maciej Ulas
Błażej Żmija
1
+
On the subsequence of primes having prime subscripts
2009
Kevin Broughan
A.R. Barnett
1
+
An Invitation to Q-Series
2011
Hei-Chi Chan
1
+
An Introduction to Sieve Methods and Their Applications
2005
Alina Carmen Cojocaru
M. Ram Murty
1
+
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>m</mml:mi></mml:math>-ary partitions with no gaps: A characterization modulo <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>m</mml:mi></mml:math>
2015
George E. Andrews
Aviezri S. Fraenkel
James A. Sellers
1