Toric modular forms and nonvanishing of L-functions

DOI10.1515/crll.2001.071zbMath1070.11015arXivmath/9910141OpenAlexW1990858648MaRDI QIDQ2744712

Lev A. Borisov, Paul E. Gunnells

Publication date: 7 October 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9910141

zbMATH Keywords

modular formEisenstein seriesL-functionHecke eigenform

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (15)

A note on the Eisenstein elements of prime square level ⋮ On Wronskians of weight one Eisenstein series ⋮ On Hilbert modular threefolds of discriminant 49 ⋮ Rankin–Cohen brackets of Eisenstein series ⋮ On the computation of general vector-valued modular forms ⋮ Rankin-Cohen brackets of vector valued Eisenstein series ⋮ Equivariant birational geometry and modular symbols ⋮ Products of Eisenstein series and Fourier expansions of modular forms at cusps ⋮ Products of vector valued Eisenstein series ⋮ All modular forms of weight 2 can be expressed by Eisenstein series ⋮ Periods of modular forms and identities between Eisenstein series ⋮ Regulators of Siegel units and applications ⋮ Modular forms in Pari/GP ⋮ Fake proofs for identities involving products of Eisenstein series ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\)

Cites Work

• Introduction to Toric Varieties. (AM-131)
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