A subconvexity bound for Hecke L-functions

DOI10.1016/S0012-9593(01)01073-4zbMath0995.11062OpenAlexW2018655324MaRDI QIDQ4329736

Étienne Fouvry, Henryk Iwaniec

Publication date: 10 October 2002

Published in: Annales Scientifiques de l'École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2001_4_34_5_669_0

zbMATH Keywords

imaginary quadratic fieldHecke \(L\)-functionapproximate functional equationHecke grössencharacter

Mathematics Subject Classification ID

Quadratic extensions (11R11) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Estimates on character sums (11L40)

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The subconvexity problem for \(\mathrm{GL}_2\) ⋮ Families of \(L\)-functions of automorphic forms and applications

Cites Work

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• The cubic moment of central values of automorphic \(L\)-functions
• On Character Sums and L-Series^†
• Über die Classenzahl quadratischer Zahlkörper