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International Journal of Mathematics, ISSN 0129-167X, 07/2015, Volume 26, Issue 8, p. 1550055
Let $H_n^{(2)}$ denote the second-order harmonic number $\sum_{0
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 2018, Volume 292, Issue 1-2, p. 151
Building on results of Ando, Hopkins and Rezk, we show the existence of uncountably many E.sub.[infinity] E [infinity] -String... 
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 03/2018, Volume 2018, Issue 5, pp. 1532 - 1584
Abstract It is observed that the conjugacy growth series of the infinite finitary symmetric group with respect to the generating set of transpositions is the... 
MATHEMATICS | CONGRUENCES
Journal Article
Afrika mathematica, ISSN 1012-9405, 03/2020, Volume 31, Issue 2, pp. 249 - 261
Journal Article
Research in number theory, ISSN 2522-0160, 06/2020, Volume 6, Issue 2
Journal Article
Semigroup forum, ISSN 1432-2137, 2013, Volume 87, Issue 1, pp. 201 - 229
Journal Article
Journal of Personality Assessment, ISSN 0022-3891, 01/2018, Volume 100, Issue 1, pp. 116 - 116
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 05/2014, Volume 2014, Issue 690, pp. 35 - 49
We study vector-valued -adic Siegel modular forms based on the arithmetic theory of vector-valued Siegel modular forms over rings. We construct Fourier... 
MATHEMATICS | CONGRUENCES
Journal Article
Order (Dordrecht), ISSN 1572-9273, 2018, Volume 36, Issue 2, pp. 233 - 247
For an integer n ≥ 2, let NCSL(n) denote the set of sizes of congruence lattices of n-element semilattices. We find the four largest numbers belonging to... 
Algebra | Lattice with many congruences | Mathematics | Order, Lattices, Ordered Algebraic Structures | Number of lattice congruences | Size of the congruence lattice of a finite lattice | Discrete Mathematics | MATHEMATICS | LATTICES
Journal Article
Journal of Number Theory, ISSN 0022-314X, 08/2016, Volume 165, pp. 109 - 130
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 for Andrews' defined combinatorial objects, called singular... 
Partitions | Singular overpartitions | Congruences
Journal Article
European Journal of Combinatorics, ISSN 0195-6698, 10/2018, Volume 73, pp. 114 - 137
We show that the generating function ∑n≥0Mnzn for Motzkin numbers Mn, when coefficients are reduced modulo a given power of 2, can be expressed as a polynomial... 
MATHEMATICS | CATALAN | CONGRUENCES
Journal Article
2017, Graduate studies in mathematics, ISBN 0821849476, Volume 179., xii, 700 pages
Book
Annals of combinatorics, ISSN 0218-0006, 11/2019, Volume 23, Issue 3-4, pp. 1123 - 1135
Annals of Combinatorics 23 (2019), no. 3-4, 1123--1135 We discuss $q$-analogues of the classical congruence $\binom{ap}{bp}\equiv\binom{a}{b}\pmod{p^3}$, valid... 
Journal Article
Journal of Algebra, ISSN 0021-8693, 09/2019, Volume 534, pp. 51 - 64
Graph inverse semigroups were defined by Ash and Hall in 1975. They found necessary and sufficient conditions for the semigroups to be congruence free. In this... 
Hereditary subsets | 0-Restricted congruences | Congruence triples | Cycle functions | Congruence pairs | MATHEMATICS
Journal Article
Semigroup Forum, ISSN 0037-1912, 12/2019, Volume 99, Issue 3, pp. 607 - 631
Congruences on an ample semigroup S are investigated. For any admissible congruence $$ \rho $$ ρ on S, the minimum $$\sigma _{\rho }$$ σ ρ (the maximum $$ \mu... 
Trace | Algebra | Abundant semigroups | Congruence pair | Mathematics | Admissible congruences | Kernel | Ample semigroups | MATHEMATICS | LATTICE
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 02/2016, Volume 12, Issue 1, pp. 143 - 164
Let p be a prime greater than 3 and let a be a rational p -adic integer. In this paper, we try to determine ∑ k = 1 [ p / 3 ] 3 k k a k ( mod p ) , and reveal... 
Journal Article
Reports on Mathematical Physics, ISSN 0034-4877, 04/2018, Volume 81, Issue 2, pp. 157 - 164
It is shown that the timelike, spacelike and null versions of the Ehlers identity, as well as ensuing Raychaudhuri equations, might be all derived within a... 
spacelike congruences | null congruences | Raychaudhuri equation | Ehlers identity | PHYSICS, MATHEMATICAL | CONGRUENCES | RELATIVITY
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 02/2016, Volume 2016, Issue 711, pp. 231 - 249
The spt-function spt( ) was introduced by Andrews as the weighted counting of partitions of with respect to the number of occurrences of the smallest part.... 
MATHEMATICS | ANDREWS | CONGRUENCES
Journal Article
Bulletin of the Section of Logic, ISSN 0138-0680, 03/2019, Volume 48, Issue 1, pp. 77 - 79
The present note is an Erratum for the two theorems of the paper "Congruences and ideals in a distributive lattice with respect to a derivation" by M.... 
Derivation | Lattice theory | Congruences
Journal Article
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