On type numbers of split orders of definite quaternion algebras

DOI10.1007/BF02567839zbMath0851.11065OpenAlexW1998512876MaRDI QIDQ1911192

Yuji Hasegawa, Ki-ichiro Hashimoto

Publication date: 25 November 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156144

zbMATH Keywords

cusp formstype numbersplit orderdefinite quaternion algebra

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD ⋮ Congruences modulo 2 for dimensions of spaces of cusp forms ⋮ Refined dimensions of cusp forms, and equidistribution and bias of signs

Cites Work

• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• On the traces of Hecke operators for a normalizer of \(\Gamma_0\)(N)
• Über die Darstellbarkeit von Modulformen durch Thetareihen.
• Quadratische Formen und Modulfunktionen
• On the arithmetic of quaternion algebras
• Type numbers of Eichler orders.

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