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A note on \(\text{GL}_2\) converse theorems

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Publication:1600201
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DOI10.1016/S1631-073X(02)02277-XzbMath1002.11041OpenAlexW2323421638WikidataQ126323720 ScholiaQ126323720MaRDI QIDQ1600201

Alexandru Zaharescu, Alberto Perelli, Adrian-Viorel Diaconu

Publication date: 14 August 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02277-x

zbMATH Keywords

modular formsEuler productconverse theorem


Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)


Related Items

A conjectural extension of Hecke's converse theorem, Converse theorems: from the Riemann zeta function to the Selberg class, Converse theorems assuming a partial Euler product, Twisting moduli for \(\mathrm{GL}(2)\), A CONVERSE THEOREM WITHOUT ROOT NUMBERS, Weil’s converse theorem for Maass forms and cancellation of zeros



Cites Work

  • Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
  • Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
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