Results 21 to 30 of about 71,665 (219)
Airborne sound insulation improvement on masonry partitions using additional plasterboard layers
Engineering Structures and Technologies, 2011 For the purposes of accumulating knowledge of how to comply with requirements for new buildings of obligatory sound class C or enhanced acoustic comfort sound classes A and B (Lithuanian Building Technical regulations STR 2.01.07:2003), the article ...
Marius Mickaitis +2 more
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A new class of infinite products, and Euler's totient
International Journal of Mathematics and Mathematical Sciences, 1994 We introduce some new infinite products, the simplest being(1−y)∏k=2∞∏j∈ϕk(1−ykqj)1/k=(1−y1−qy)1/(1−q),where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q≠1.
Geoffrey B. Campbell
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Real-world applications of number theory [PDF]
ریاضی و جامعهThe above abstract has been extracted by the translator from the original article (J. Klaška, Real-world applications of number theory, South Bohemia Mathematical Letters, 25 no.
Rahim Rahmati-Asghar
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Arc Spaces and Rogers-Ramanujan Identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek +2 more
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Classifiers, partitions, and measurements: Exploring the syntax and semantics of sortal classifiers
Glossa, 2019 In many languages, measure terms like item and kilo, as in two items of furniture and two kilos of rice, can be used either to partition the nominal denotation into countable units, or to measure a denotation without inducing a partition. These two types
Alan Bale, Jessica Coon, Nicholás Arcos
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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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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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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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Harada's conjecture II for the finite general linear groups and unitary groups [PDF]
International Journal of Group TheoryK. Harada conjectured for any finite group $G$, the product of sizes of all conjugacy classes is divisible by the product of degrees of all irreducible characters. We study this conjecture when $G$ is the general linear group over a finite field. We show
Masahiro Sugimoto
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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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