Engendrement par des séries theta de certains espaces de formes modulaires

DOI10.1007/BF01390287zbMath0393.10025OpenAlexW2000791568MaRDI QIDQ1252371

Jean-Loup Waldspurger

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142611

zbMATH Keywords

Modular FormsHolomorphic Cusp FormNew-FormsSubspacesTheta Series

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Holomorphic modular forms of integral weight (11F11)

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Comments on the holographic description of Narain theories, ARITHMETIC ON A QUINTIC THREEFOLD, Spherical designs and modular forms of the \(D_4\) lattice, Surjectivity of Siegel \(\Phi\)-operator for square free level and small weight, Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen, LOCAL BORCHERDS PRODUCTS FOR UNITARY GROUPS, Chern-Simons invariants from ensemble averages, The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2, On the kernel of the theta operator mod \(p\), Local Borcherds products, On the basis problem for Siegel-Hilbert modular forms, Eichler commutation relations for theta series of nebentypus, On the linear independence of certain theta-series, Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II, Modular forms

Cites Work

• On the eigenvalues of Hecke operators
• Theta series and automorphic forms on \(\text{GL}_2\)
• Über die Darstellbarkeit von Modulformen durch Thetareihen.
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