Mean values of \(L\)-functions over function fields
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Publication:5894658
DOI10.1006/jnth.1997.2075zbMath0872.11038OpenAlexW1992345951MaRDI QIDQ5894658
Publication date: 15 October 1997
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1997.2075
function fields\(L\)-functionsRankin-Selberg convolutionaverage values of twistsprimitive characters
Other Dirichlet series and zeta functions (11M41) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items (4)
On metaplectic forms over function fields ⋮ Sums of twisted GL(2) \(L\)-functions over function fields. ⋮ Renormalization of integrals of products of Eisenstein series and analytic continuation of representations ⋮ Non-vanishing of $L$-functions for cyclotomic characters in function fields
Cites Work
- Metaplectic forms
- Eisenstein series of \(1\over 2\)-integral weight and the mean value of real Dirichlet L-series
- Mean values of derivatives of modular \(L\)-series
- Theta functions on the \(n\)-fold metaplectic cover of \(SL(2)\) --- the function field case
- Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip
- Nonvanishing of \(L\)-series associated to cubic twists of elliptic curves
- Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
- Hecke operators on \(\Gamma_0(m)\)
- Sur certains groupes d'opérateurs unitaires
- Nonvanishing theorems for L-functions of modular forms and their derivatives
- On the Mean Value of L(1/2, χ ) FW Real Characters
- Average values of L-series in function fields.
- Correspondances de Shimura et quaternions
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