The Eichler Commutation Relation for theta series with spherical harmonics

DOI10.4064/aa-63-3-233-254zbMath0773.11029OpenAlexW214565939MaRDI QIDQ4695212

Lynne H. Walling

Publication date: 17 June 1993

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206519

zbMATH Keywords

half-integral weightHilbert modular formsHecke operatorsEichler commutation relationintegral weightHilbert modular cusp formstheta series with spherical harmonics

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) 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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