A CONVERSE THEOREM WITHOUT ROOT NUMBERS

DOI10.1112/S0025579319000184zbMath1442.11075arXiv1703.01834OpenAlexW2952544681MaRDI QIDQ5377122

Andrew R. Booker

Publication date: 23 May 2019

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01834

zbMATH Keywords

\(L\)-functionsautomorphic formsmodular formsconverse theoremsepsilon factors

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Related Items

A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A converse theorem for \(\operatorname{GL}(n)\)
• \(L\)-functions as distributions
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Newforms and functional equations
• A note on \(\text{GL}_2\) converse theorems
• A conjectural extension of Hecke's converse theorem
• Near counterexamples to Weil's converse theorem
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Automorphic forms on GL (2)
• Further refinements of the GL(2) converse theorem
• Weil's Converse Theorem with Poles
• A strengthening of the GL(2) converse theorem
• Problems in the theory of automorphic forms to Salomon Bochner in gratitude