On Converse Theorems for GL(2) and GL(1)

DOI10.2307/2374250zbMath0477.12013OpenAlexW2325822509MaRDI QIDQ3932900

Wen-Ch'ing Winnie Li

Publication date: 1981

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374250

zbMATH Keywords

automorphic representationadele ringGL2functional equations of L- functionsGL1

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (9)

Represéntations Galoisiennes paires ⋮ On the distribution of integral and prime divisors having equal norms ⋮ Sur les séries $L$ associées aux formes modulaires ⋮ Twisting moduli for \(\mathrm{GL}(2)\) ⋮ Symboles de Manin et valeurs de fonctions L ⋮ On \(L\)-functions with poles satisfying Maaß's functional equation ⋮ Heat Kernels on homogeneous spaces ⋮ Unnamed Item ⋮ Weil’s converse theorem for Maass forms and cancellation of zeros

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