On the cuspidal modular forms for the Fuchsian groups of the first kind

DOI10.1016/j.jnt.2010.02.012zbMath1206.11053OpenAlexW2038720274MaRDI QIDQ984837

Goran Muić

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.02.012

zbMATH Keywords

Poincaré seriesmodular forms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (12)

Fourier coefficients of automorphic forms and integrable discrete series ⋮ On the non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight ⋮ Non-vanishing of vector-valued 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 non-vanishing of Poincaré series on the metaplectic group ⋮ On geometric density of Hecke eigenvalues for certain cusp forms ⋮ On Poincaré series of half-integral weight ⋮ Smooth cuspidal automorphic forms and integrable discrete series

Cites Work

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• On a construction of certain classes of cuspidal automorphic forms via Poincaré series
• On geometric density of Hecke eigenvalues for certain cusp forms
• On the cusp forms for the congruence subgroups of \(\text{SL}_{2}(\mathbb R)\)
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Spectral decomposition of compactly supported Poincaré series and existence of cusp forms
• Automorphic Forms on Adele Groups. (AM-83)
• ON THE NON-VANISHING OF CERTAIN MODULAR FORMS
• Modular Forms

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