Results 31 to 40 of about 29,367 (278)
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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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} .
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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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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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Congruences for 9-regular partitions modulo 3 [PDF]
, 2013 It is proved that the number of 9-regular partitions of n is divisible by 3 when n is congruent to 3 mod 4, and by 6 when n is congruent to 13 mod 16. An infinite family of congruences mod 3 holds in other progressions modulo powers of 4 and 5.
Keith, William J.
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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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, 2018 Recently, Lin introduced two new partition functions PD$_t(n)$ and PDO$_t(n)$, which count the total number of tagged parts over all partitions of $n$ with designated summands and the total number of tagged parts over all partitions of $n$ with ...
Baruah, Nayandeep Deka, Kaur, Mandeep
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Acta Mathematica, 2004 Let $ $ denote the modular group $SL(2,\Bbb Z)$ and $C_n( )$ the number of congruence subgroups of $ $ of index at most $n$. We prove that $\lim\limits_{n\to \infty} \frac{\log C_n( )}{(\log n)^2/\log\log n} = \frac{3-2\sqrt{2}}{4}.$ We also present a very general conjecture giving an asymptotic estimate for $C_n( )$ for general arithmetic groups.
Goldfeld, Dorian +2 more
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Some congruences related to harmonic numbers and the terms of the second order sequences [PDF]
Mathematica Moravica, 2016 In this paper, with helps of some combinatorial identities, we investigate various basic congruences involving harmonic numbers and terms of the second order sequences {Ukn} and {Vkn}.
Omur Nese, Koparal Sibel
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