Results 31 to 40 of about 48,912 (312)
Arithmetic properties of Ramanujan's general partition function for modulo 11
Kuwait Journal of Science, 2020 In the present work, for the general partition function $p_k(n)$, we establish five new infinite families of congruences. Our emphasis throughout this paper is to exhibit the use of $q$-identities to generate congruences for the general partition ...
Srivatsa Kumar Belakavadi Radhakrishna +2 more
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Ramanujan-type congruences modulo 4 for partitions into distinct parts
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we consider the partition function Q(n) counting the partitions of n into distinct parts and investigate congruence identities of the form Q(p⋅n+p2-124)≡0 (mod4),Q\left( {p \cdot n + {{{p^2} - 1} \over {24}}} \right) \equiv 0\,\,\,\left(
Merca Mircea
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A Study on Groupoids, Ideals and Congruences via Cubic Sets
Axioms, 2022 The inclusion, the intersection and the union between cubic sets are each defined in two ways. From this point of view, we introduce the concepts of cubic subgroupoids, cubic ideals, cubic subgroups, and cubic congruences as two types, respectively, and ...
Jeong-Gon Lee +4 more
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Transactions of the American Mathematical Society, 1983 This paper studies the congruences of lines which are included in two distinct quadrics of a given generic three-dimensional projective space of quadrics in P 3 {{\mathbf {P}}^3} .
openaire +1 more source
An investigation on hyper S-posets over ordered semihypergroups
Open Mathematics, 2017 In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties.
Tang Jian, Davvaz Bijan, Xie Xiang-Yun
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On Fuzzy Congruences and Fuzzy Strong h-Ideals of Hemirings
The Scientific World Journal, 2014 The aim of this paper is to introduce the concepts of fuzzy strong h-ideals and fuzzy congruences of hemirings. The quotient hemirings via fuzzy strong h-ideals are investigated.
Kuanyun Zhu, Jianming Zhan, Yunqiang Yin
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Congruences via modular forms [PDF]
, 2010 We prove two congruences for the coefficients of power series expansions in t of modular forms where t is a modular function. As a result, we settle two recent conjectures of Chan, Cooper and Sica.
Osburn, Robert, Sahu, Brundaban
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Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras
Journal of Mathematics, 2022 In this paper, we study L-congruences and their kernel in a subclass Kn,0 of the variety of Ockham algebras A. We prove that the class of kernel L-ideals of an Ockham algebra forms a complete Heyting algebra.
Teferi Getachew Alemayehu +2 more
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Ratio Mathematica, 2021 In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual ...
Mengmeng Liu, Hongxing Liu
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Supercongruences and Complex Multiplication [PDF]
, 2012 We study congruences involving truncated hypergeometric series of the form_rF_{r-1}(1/2,...,1/2;1,...,1;\lambda)_{(mp^s-1)/2} = \sum_{k=0}^{(mp^s-1)/2} ((1/2)_k/k!)^r \lambda^k where p is a prime and m, s, r are positive integers.
Kibelbek, Jonas +4 more
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