Functional equations for double series of Euler type with coefficients

DOI10.1016/j.aim.2016.01.016zbMath1408.11046arXiv1306.0987OpenAlexW2964260452MaRDI QIDQ5965075

Kohji Matsumoto, Young Ju Choie

Publication date: 2 March 2016

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

Full work available at URL: https://arxiv.org/abs/1306.0987

zbMATH Keywords

functional equationconfluent hypergeometric functionmodular symboldouble zeta functioniterated integrals of modular formsmodular relation

Mathematics Subject Classification ID

Modular correspondences, etc. (11F32) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (4)

Functional equation of Mordell–Tornheim multiple zeta function ⋮ A survey on the theory of multiple Dirichlet series with arithmetical coefficients as numerators ⋮ Parabolic cohomology and multiple Hecke \(L\)-values ⋮ Double Dirichlet series associated with arithmetic functions

Cites Work

• Iterated period integrals and multiple Hecke \(L\)-functions
• A note on the mean value of the zeta and L-functions. I
• Asymptotic expansions of the mean values of Dirichlet \(L\)-functions
• The analytic continuation and the order estimate of multiple Dirichlet series.
• Parabolic cohomology and multiple Hecke \(L\)-values
• The Lerch zeta function II. Analytic continuation
• FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS
• Analytic Properties of Multiple Zeta-Functions in Several Variables
• Corrigendum and addendum to ‘asymptotic series for double zeta, double gamma and Hecke L-functions’
• Functional equations for double zeta-functions
• Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series
• Iterated integrals of modular forms and noncommutative modular symbols
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