Central critical values of modular L -functions and coefficients of half-integral weight modular forms modulo ℓ

DOI10.1353/ajm.2007.0006zbMath1154.11017OpenAlexW1968620043WikidataQ126266397 ScholiaQ126266397MaRDI QIDQ3437225

Matthew Boylan, Scott Ahlgren

Publication date: 14 May 2007

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2007.0006

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

Congruences involving the \(U_{\ell}\) operator for weakly holomorphic modular forms ⋮ Mock modular forms as $p$-adic modular forms ⋮ \(p\)-adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight ⋮ Congruences for level $1$ cusp forms of half-integral weight ⋮ Weakly holomorphic modular forms of half-integral weight with nonvanishing constant terms modulo $\ell $ ⋮ The algebraic parts of the central values of quadratic twists of modular \(L\)-functions modulo \(\ell\) ⋮ Modular forms of half-integral weight on \(\Gamma_0 (4)\) with few nonvanishing coefficients modulo \(\ell\)

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