A weak converse theorem for degree 2 \(L\)-functions with conductor 1

DOI10.4171/PRIMS/53-2-5zbMath1411.11082OpenAlexW2610819296MaRDI QIDQ2360104

Jerzy Kaczorowski, Alberto Perelli

Publication date: 23 June 2017

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/53-2-5

zbMATH Keywords

\(L\)-functionscusp formsSelberg classconverse theorems

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (4)

Converse theorems: from the Riemann zeta function to the Selberg class ⋮ Classification of \(L\)-functions of degree 2 and conductor 1 ⋮ Forbidden conductors of $L$-functions and continued fractions of particular form ⋮ On a Hecke-type functional equation with conductor \(q=5\)

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