Non-vanishing of automorphic \(L\)-functions of prime power level
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Publication:1692325
DOI10.1007/S00605-017-1031-4zbMath1450.11046arXiv1605.02434OpenAlexW2963388794MaRDI QIDQ1692325
Dmitriy A. Frolenkov, Olga G. Balkanova
Publication date: 26 January 2018
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.02434
Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
Related Items (4)
Moments of central 𝐿-values for Maass forms over imaginary quadratic fields ⋮ Non-vanishing of Maass form $L$-functions at the central point ⋮ A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line ⋮ Moments of \(L\)-functions and the Liouville-Green method
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Cites Work
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- A uniform asymptotic formula for the second moment of primitive \(L\)-functions on the critical line
- The first moment of \(L\)-functions of primitive forms on \(\Gamma _{0}(p^\alpha )\) and a basis of old forms
- Mollification and non-vanishing of automorphic \(L\)-functions at the primary level
- On the second moment of \(L\)-series of holomorphic cusp forms on the critical line
- A trace formula for the scalar product of Hecke series and its applications
- The first moment of twisted Hecke \(L\)-functions with unbounded shifts
- The critical order of vanishing of automorphic \(L\)-functions with large level
- The rank of quotients of \(J_0(N)\)
- The analytic rank of \(J_0(q)\) and zeros of automorphic \(L\)-functions.
- Petits zéros de fonctions L de formes modulaires
- AVERAGES OF TWISTED -FUNCTIONS
- Formules de trace et non-annulation de fonctions L automorphes au niveau pν
- On the Error Term in Duke's Estimate for the Average Special Value of L-Functions
- Certain mean values and non-vanishing of automorphic L-functions with large level
- The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros
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