Remarks on Kohnen-Zagier's paper concerning Fourier coefficients of modular forms of half integral weight

DOI10.3792/PJAA.69.383zbMath0808.11032OpenAlexW1977478355MaRDI QIDQ1327771

Hisashi Kojima

Publication date: 8 August 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.383

zbMATH Keywords

half-integral weightFourier coefficientsHecke operatorsHecke eigenformShimura correspondenceelliptic modular formsspecial value of zeta function

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) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Remark on Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces. II

Cites Work

• Fourier coefficients and modular forms of half-integral weight
• The decomposition of the spaces of cusp forms of half-integral weight and trace formula of Hecke operators
• 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
• The critical values of certain zeta functions associated with modular forms of half-integral weight
• Shimura and Shintani correspondences
• On modular forms of half integral weight
• Modular forms of half integral weight and the integral of certain theta-functions
• On Shimura’s trace formula

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