Sums of twisted GL(2) \(L\)-functions over function fields.

DOI10.1215/S0012-7094-03-11735-4zbMath1048.11039MaRDI QIDQ1413731

Benji Fisher, Solomon Friedberg

Publication date: 17 November 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

automorphic formstwisted \(L\)-functiondouble Dirichlet series

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (6)

Mean square values of Hecke \(L\)-series formed with \(r\)-th order characters ⋮ Determination of a \(\text{GL}_2\) automorphic cuspidal representation by twists of critical \(L\)-values ⋮ Weyl group multiple Dirichlet series constructed from quadratic characters ⋮ Twisted Weyl group multiple Dirichlet series over the rational function field ⋮ Constructing Weyl group multiple Dirichlet series ⋮ Cubic twists of \(\text{GL}(2)\) automorphic \(L\)-functions

Cites Work

• Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives
• Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
• Nonvanishing theorems for L-functions of modular forms and their derivatives
• Average values of L-series in function fields.
• Local Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}: Explicit conductor formula
• Multiple Dirichlet Series and Moments of Zeta and L-Functions
• Double Dirichlet series over function fields
• On some applications of automorphic forms to number theory
• Introduction to Lie Algebras and Representation Theory
• Mean values of \(L\)-functions over function fields
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