GENUS THETA SERIES, HECKE OPERATORS AND THE BASIS PROBLEM FOR EISENSTEIN SERIES

DOI10.1142/9789812774415_0011zbMath1161.11333arXivmath/0508613OpenAlexW2063797042MaRDI QIDQ5494126

Hidenori Katsurada, Rainer Schulze-Pillot

Publication date: 17 October 2006

Published in: Automorphic Forms and Zeta Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508613

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (4)

Ternary quadratic forms and Heegner divisors ⋮ On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series ⋮ Surjectivity of Siegel \(\Phi\)-operator for square free level and small weight ⋮ On \(p\)-adic Siegel-Eisenstein Series from a point of view of the theory of \(\bmod\, p^m\) singular forms

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