ON THE ANALYTIC CONTINUATION AND NON-VANISHING OF L-FUNCTIONS

DOI10.1142/S1793042112501059zbMath1298.11040OpenAlexW1967630071MaRDI QIDQ3165305

Goran Muić

Publication date: 26 October 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112501059

zbMATH Keywords

\(L\)-functionsPoincaré seriesmodular formsFuchsian groupscongruence subgroups

Mathematics Subject Classification ID

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) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

On the non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight ⋮ Non-vanishing of vector-valued Poincaré series ⋮ On the Schwartz space \(\mathcal{S}(G(k) \backslash G(\mathbb{A}))\) ⋮ On embeddings of modular curves in projective spaces ⋮ On Poincaré series of half-integral weight

Cites Work

• Unnamed Item
• Modular curves and bases for the spaces of cuspidal modular forms
• Nonvanishing of Hecke \(L\)-functions associated to cusp forms inside the critical strip
• Mollification of the fourth moment of automorphic \(L\)-functions and arithmetic applications.
• Nonvanishing of symmetric square $L$-functions of cusp forms inside the critical strip
• ON THE NON-VANISHING OF CERTAIN MODULAR FORMS
• Non-vanishing of \(L\)-functions and applications

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