Weil's Converse Theorem with Poles

DOI10.1093/imrn/rnt127zbMath1312.11035OpenAlexW2136333882MaRDI QIDQ2929550

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Publication date: 12 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://research-information.bris.ac.uk/ws/files/32527649/weil.pdf

zbMATH Keywords

Weil's converse theoremholomorphic modular forms

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items (7)

An extension of Venkatesh’s converse theorem to the Selberg class ⋮ A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor ⋮ A CONVERSE THEOREM WITHOUT ROOT NUMBERS ⋮ \(L\)-functions as distributions ⋮ Generalized \(L\)-functions for meromorphic modular forms and their relation to the Riemann zeta function ⋮ Weil’s converse theorem for Maass forms and cancellation of zeros ⋮ Ratios of Artin \(L\)-functions

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