The action of the canonical involution on modular forms of weight 2 on \(\Gamma_0(M)\)

DOI10.1007/BF01360861zbMath0417.10023MaRDI QIDQ5895365

Arnold K. Pizer

Publication date: 1977

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

Full work available at URL: https://eudml.org/doc/162944

zbMATH Keywords

orderstheta seriesquaternion algebracanonical involutionmodular forms of weight 2

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (7)

An algorithm for computing modular forms on \(\Gamma_0(N)\) ⋮ Divisor functions over quaternion algebras and a type of identities ⋮ On basic and Bass quaternion orders ⋮ Ternary quadratic forms and quaternion algebras ⋮ Theta series of quaternion algebras over function fields. ⋮ Eichler orders and Jacobi forms of squarefree level ⋮ Hida theory for special orders

Cites Work

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• The representability of modular forms by theta series
• On the arithmetic of quaternion algebras. II
• Lattices over orders I
• Representations of quaternion groups over locally compact and functional fields
• Automorphic forms on GL (2)
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• Die Anzahl der Typen von Maximalordnungen einer definiten Quaternionenalgebra mit primer Grundzahl
• Zur Zahlentheorie der Quaternionen-Algebren.
• On the arithmetic of quaternion algebras
• Type numbers of Eichler orders.

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