Hecke eigenforms and representation numbers of arbitrary rank lattices

DOI10.2140/PJM.1992.156.371zbMath0738.11037OpenAlexW1973538554MaRDI QIDQ811561

Lynne H. Walling

Publication date: 1992

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1992.156.371

zbMATH Keywords

theta seriesFourier coefficientsHecke operatorseigenformrepresentation numbershalf-integral weight Hilbert modular forms

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Hecke-Petersson operators, differential operators (several variables) (11F60)

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