Infinite products involving Dirichlet characters and cyclotomic polynomials

DOI10.1016/j.aam.2018.05.003zbMath1396.33002arXiv1801.09160OpenAlexW2964307368MaRDI QIDQ1661481

Karl Dilcher, Christophe Vignat

Publication date: 16 August 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09160

zbMATH Keywords

gamma functioninfinite productcyclotomic polynomialmultiple \(L\)-series

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

Maclaurin's type infinite products involving certain transcendental functions ⋮ Special values of \(q\)-gamma products

Uses Software

• DLMF
• OEIS

Cites Work

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• On gamma quotients and infinite products
• Evaluations of multiple Dirichlet \(L\)-values via symmetric functions
• Derivative polynomials, Euler polynomials, and associated integer sequences
• Sum relations of multiple zeta star values with even arguments
• On multiple zeta values of even arguments
• An Introduction to Gauss Factorials
• INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS
• Number Theory

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