Binary quadratic forms and the Fourier coefficients of elliptic and Jacobi modular forms.

DOI10.1515/crll.1990.411.66zbMath0702.11028OpenAlexW1550230965MaRDI QIDQ3480131

Nils-Peter Skoruppa

Publication date: 1990

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002207958

zbMATH Keywords

Jacobi formsFourier coefficientskernel functionsEichler-Shimura isomorphismelliptic cusp formsintegral binary quadratic formsShimura liftingsfirst cuspidal cohomology

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) General binary quadratic forms (11E16)

Related Items (10)

The adjointness of the maps between the space of Jacobi forms and the space of modular forms ⋮ Small spanning sets of cusp forms ⋮ Differential operators on Jacobi forms of half integral weight ⋮ Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms ⋮ On Siegel paramodular forms corresponding to skew-holomorphic Jacobi cusp forms ⋮ Modulformen auf \(\Gamma_ 0(N)\) mit rationalen Perioden. (Modular forms for \(\Gamma_ 0(N)\) with rational periods) ⋮ Computing genus $1$ Jacobi forms ⋮ Heegner cycles, modular forms and jacobi forms ⋮ Explicit formulas for the Fourier coefficients of Jacobi and elliptic modular forms ⋮ Optimal mock Jacobi theta functions

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