ON THE NON-VANISHING OF CERTAIN MODULAR FORMS

DOI10.1142/S1793042111004083zbMath1267.11039OpenAlexW2006722329MaRDI QIDQ5392204

Goran Muić

Publication date: 8 April 2011

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

Full work available at URL: https://doi.org/10.1142/s1793042111004083

zbMATH Keywords

Poincaré seriesmodular formsFuchsian groupscongruence subgroups

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Holomorphic modular forms of integral weight (11F11)

Related Items (13)

Fourier coefficients of automorphic forms and integrable discrete series ⋮ ON THE ANALYTIC CONTINUATION AND NON-VANISHING OF L-FUNCTIONS ⋮ On the non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight ⋮ Non-vanishing of vector-valued Poincaré series ⋮ Nonvanishing of Siegel Poincaré series ⋮ On a family of Siegel Poincaré series ⋮ On the Schwartz space \(\mathcal{S}(G(k) \backslash G(\mathbb{A}))\) ⋮ Modular curves and bases for the spaces of cuspidal modular forms ⋮ On embeddings of modular curves in projective spaces ⋮ On existence of generic cusp forms on semisimple algebraic groups ⋮ On the cuspidal modular forms for the Fuchsian groups of the first kind ⋮ On Poincaré series of half-integral weight ⋮ Smooth cuspidal automorphic forms and integrable discrete series

Cites Work

• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• On a construction of certain classes of cuspidal automorphic forms via Poincaré series
• The vanishing of Poincaré series
• On the non-vanishing of Poincaré series
• On the non-vanishing of Poincaré series

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