Behaviour at the non-positive integers of Dirichlet series associated to polynomials of several variables

DOI10.1007/S00229-016-0833-3zbMath1407.11066OpenAlexW2307800128MaRDI QIDQ304501

Boualem Sadaoui, Abdellah Derbal

Publication date: 25 August 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-016-0833-3

zbMATH Keywords

Dirichlet serieselliptic polynomialsmultiple zeta functions

Mathematics Subject Classification ID

Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Cites Work

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• Prolongement méromorphe des séries de Dirichlet associées à des fractions rationnelles de plusieurs variables
• Séries de Dirichlet et intégrales associées à un polynôme à deux indéterminées. (Dirichlet series and integrals associated with a polynomial of two variables)
• Valeurs aux entiers négatifs des séries de Dirichlet associées à un polynôme. I
• Singularités de séries de Dirichlet associées à des polynômes de plusieurs variables et applications en théorie analytique des nombres. (Singularities of Dirichlet series associated to polynomials of several variables and applications to analytic number theory)
• Multiple zeta values at non-positive integers
• Relations between values at \(T\)-tuples of negative integers of twisted multivariable zeta series associated to polynomials of several variables
• Analytic continuation of multiple zeta-functions and their values at non-positive integers
• SPECIAL VALUES OF DIRICHLET SERIES AND ZETA INTEGRALS
• Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series
• Multiple Zeta-Functions Associated with Linear Recurrence Sequences and the Vectorial Sum Formula

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