On The Meromorphy of Euler Products (I)

DOI10.1112/plms/s3-53.1.1zbMath0595.10031OpenAlexW2074721601MaRDI QIDQ3726211

Nobushige Kurokawa

Publication date: 1986

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-53.1.1

zbMATH Keywords

Selberg typemeromorphyEuler datumArtin-Hecke typeEuler products of Artin typegeneralized Euler product

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Hurwitz and Lerch zeta functions (11M35)

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Zeta functions of analytic rings via Euler products ⋮ Certain series attached to an even number of elliptic modular forms ⋮ Partial zeta functions ⋮ On the meromorphy of Euler products ⋮ Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints ⋮ Domain of meromorphy of a class of Bateman-like totient zeta functions ⋮ On mean values of multivariable complex valued multiplicative functions and applications ⋮ Scalar product of Dirichlet series and the distribution of integer points on toric varieties ⋮ Meromorphic continuation of multivariable Euler products ⋮ On Linnik's problem ⋮ Fourier coefficients of cusp forms and automorphic \(L\)-functions ⋮ A multivariable Euler product of Igusa type and its applications ⋮ Height zeta functions ⋮ Rigidity of Euler products ⋮ Analyticity of polylogarithmic Euler products ⋮ Zeta functions of \(q\)-perfect numbers ⋮ Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial ⋮ Periods and global invariants of automorphic representations ⋮ Special values of Euler products and Hardy-Littlewood constants

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