On Shintani correspondence

DOI10.1007/BF02864396zbMath0689.10033OpenAlexW2064108605MaRDI QIDQ1264173

T. C. Vasudevan, B. Ramakrishnan, Murugesan Manickam

Publication date: 1989

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02864396

zbMATH Keywords

cycle integralsnewformkernel functionlifting mapsWaldspurger resultcusp forms of even integral weightFourier coefficients of oldformsmultiplicity 1 theoremproduct of two Fourier coefficientsShimura liftingsShintani correspondenceShintani lifting

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11)

Related Items (5)

An inner product relation on Saito-Kurokawa lifts ⋮ On newforms of half-integral weight and Jacobi forms ⋮ On newforms and Saito-Kurokawa lifts ⋮ On the Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces and the critical values of zeta functions ⋮ On Shimura, Shintani and Eichler-Zagier correspondences

Cites Work

• Fourier coefficients and modular forms of half-integral weight
• Hecke operators for \(\Gamma_ 0(N)\)
• Jacobi forms and a certain space of modular forms
• The decomposition of the spaces of cusp forms of half-integral weight and trace formula of Hecke operators
• On a remark of Atkin-Lehner
• Diagonalising modular forms of half-integral weight
• Addendum: On the theory of newforms of half-integral weight
• On modular forms of half integral weight
• A trace formula for Jacobi forms.
• Newforms 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

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