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On Fourier coefficients and certain periods of modular forms

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Publication:585262
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DOI10.3792/pjaa.58.90zbMath0524.10018OpenAlexW2061630276MaRDI QIDQ585262

Shinji Niwa

Publication date: 1982

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.58.90


zbMATH Keywords

space of cusp formsperiods defined by modular forms of integral weightrelation between Fourier coefficients of modular forms of half-integral weight


Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11)


Related Items

On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ On the Fourier coefficients of Hilbert modular forms of half-integral weight



Cites Work

  • Unnamed Item
  • 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
  • Shimura and Shintani correspondences
  • On the trace formula for Hecke operators
  • On modular forms of half integral weight
  • Modular forms of half integral weight and the integral of certain theta-functions
  • On construction of holomorphic cusp forms of half integral weight
  • On Shimura’s trace formula
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