Eichler commutation relations for theta series of nebentypus

DOI10.1007/BF01450086zbMath0627.10018MaRDI QIDQ581448

Paul Ponomarev

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164394

zbMATH Keywords

Hecke operatorquaternion algebrabasis problemAnzahlmatrixBrandt matrix representationEichler commutation relationintegral quaternary quadratic formstheta series of weight twoWaldspurger's criterion

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27)

Cites Work

• Engendrement par des séries theta de certains espaces de formes modulaires
• On the coincidence of two Dirichlet series associated to cusp forms of Hecke's Neben-type and Hilbert modular forms over a real quadratic field
• Ternary quadratic forms and Shimura’s correspondence
• Class numbers of quadratic forms over real quadratic fields
• Formes quadratiques à 4 variables et relèvement
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