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Congruences modulo $4$ for the number of $3$-regular partitions
Comptes Rendus. Mathématique, 2023 The last decade has seen an abundance of congruences for $b_\ell (n)$, the number of $\ell $-regular partitions of $n$. Notably absent are congruences modulo $4$ for $b_3(n)$. In this paper, we introduce Ramanujan type congruences modulo $4$ for $b_3(2n)$
Ballantine, Cristina, Merca, Mircea
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Fire Resistance of Aluminum-Glass Partitions with a Parallel Structure of Intumescent Layers
Safety & Fire Technology, 2022 Aim: The aim of the article is to verify the fire resistance of aluminum-glass construction partitions with a parallel structure. The paper presents the results of tests in a fire chamber of a selected partition, a leading national manufacturer of ...
Marian Gwóźdź, Michał Marcinowski
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On Andrews’ Partitions with Parts Separated by Parity
Mathematics, 2021 In this paper, we present a generalization of one of the theorems in Partitions with parts separated by parity introduced by George E. Andrews, and give its bijective proof.
Abdulaziz M. Alanazi, Darlison Nyirenda
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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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Integrality of hook ratios [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We study integral ratios of hook products of quotient partitions. This question is motivated by an analogous question in number theory concerning integral factorial ratios. We prove an analogue of a theorem of Landau that already applied in the factorial
Paul-Olivier Dehaye
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An extension to overpartitions of Rogers-Ramanujan identities for even moduli [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We investigate class of well-poised basic hypergeometric series $\tilde{J}_{k,i}(a;x;q)$, interpreting these series as generating functions for overpartitions defined by multiplicity conditions.
Sylvie Corteel +2 more
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Fire resistance testing of aluminum-glass partitions [PDF]
Archives of Civil Engineering, 2022 Glass-aluminum building facades, as well as glazed walls intended to construct internal partitions of various types with glass doors, the purpose of which is to create fire zones, must satisfy certain fire resistance requirements stated in the codes. The
Marian Gwóźdź +2 more
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Probes for fault localization in computer networks
Journal of Telecommunications and Information Technology, 2004 Fault localization is a process of isolating faults responsible for the observable malfunctioning of the managed system. This paper reviews some existing approaches of this process and improves one of described techniques - the probing.
Wiesław Traczyk
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Fire reliability of system aluminum-glass partitions [PDF]
Archives of Civil Engineering, 2021 Aluminum-glass partition systems are used as building facades but also as glazed internal walls designated to form various internal partitions with glass doors.
Marian Gwóźdź
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The genesis of the sports clubs movement in Poland
Journal of Education, Health and Sport, 2020 The formation of the first Polish sports associations is not only an important stage in the development of Polish sport, but is also a crucial element of Polish tradition and culture.
Piotr Kędzia
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