Congruences between cusp forms and Eisenstein series of half-integral weight

DOI10.1007/BF02941607zbMath0636.10026OpenAlexW2063904397MaRDI QIDQ1097916

Winfried Kohnen, Jannis A. Antoniadis

Publication date: 1987

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02941607

zbMATH Keywords

half-integral weightShimura liftingcongruence between modular forms of integral weight

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (4)

Class numbers, cyclic simple groups, and arithmetic ⋮ Weights of Modular Forms on so ⁺ (2, l ) and Congruences Between Eisenstein Series and Cusp forms of Half‐Integral Weight on SL ₂ ⋮ A generalization of Cohen-Eisenstein series and Shimura liftings and some congruences between cusp forms and Eisenstein series ⋮ Some congruences for Saito-Kurokawa lifts

Cites Work

• A congruence between modular forms of half-integral weight
• p-adic congruences and modular forms of half integer weight
• A relation between the value of the L-series of the curve: \(y^ 2=x^ 3-k^ 3\) in \(s=1\) and its Selmer group
• On the arithmetic of special values of L functions
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Values of L-series of modular forms at the center of the critical strip
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• On modular forms of half integral weight
• Newforms of half-integral weight.
• On construction of holomorphic cusp forms of half integral weight
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