On the Fourier coefficients of modular forms of half-integral weight

DOI10.1515/FORUM.2010.008zbMath1234.11060OpenAlexW2157212669MaRDI QIDQ5306377

Kartik Prasanna

Publication date: 9 April 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.008

zbMATH Keywords

special values of L-functionsmodular forms of half-integral weighttheta correspondencesRallis inner product formulaWaldspurger's works

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30)

Related Items (4)

Kohnen’s formula and a conjecture of Darmon and Tornaría ⋮ On a generalization of Gross's formula ⋮ Arithmetic properties of the Shimura-Shintani-Waldspurger correspondence. With an appendix by Brian Conrad. ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields

Cites Work

• Fourier coefficients and modular forms of half-integral weight
• Central values of \(L\)-functions over CM fields
• Values of L-series of modular forms at the center of the critical strip
• Central value of automorphic \(L\)-functions
• Integrality of a ratio of Petersson norms and level-lowering congruences
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• Local ε-Factors and Characters of GL(2)
• Correspondances de Shimura et quaternions
• Central values of Rankin $L$-series over real quadratic fields

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