A congruence for the number of alternating permutations

DOI10.35834/2021/3301099zbMath1471.05003OpenAlexW4231116194MaRDI QIDQ2235182

Sumit Kumar Jha

Publication date: 20 October 2021

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://osf.io/yfz7h/

zbMATH Keywords

Stirling numbers of the second kindpolylogarithm functionalternating permutations

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05)

Cites Work

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• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• A series transformation formula and related polynomials
• An Extension of Fermat's Little Theorem, and Congruences for Stirling Numbers
• A Survey of Alternating Permutations
• Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
• Bernoulli, Euler, permutations and quantum algebras
• Computation of Tangent, Euler, and Bernoulli Numbers

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