Divisor functions over quaternion algebras and a type of identities

DOI10.7169/facm/2012.46.2.8zbMath1300.11119OpenAlexW2079694896MaRDI QIDQ449612

Yichao Zhang

Publication date: 31 August 2012

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1340628405

zbMATH Keywords

modular formdivisor functionL-functionquaternion algebrafourth moments

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Holomorphic modular forms of integral weight (11F11) Other analytic theory (11R47) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Newforms of squarefree level and theta series
• Divisor function for quaternion algebras and application to fourth moments of \(L\)-functions
• An algorithm for computing modular forms on \(\Gamma_0(N)\)
• Automorphe Funktionen von mehreren Veränderlichen und Dirichletsche Reihen. (Automorphic functions of several variables and Dirichlet series)
• Fourth moments of grossencharakteren zeta functions
• Fourth moments ofL-functions attached to newforms
• The action of the canonical involution on modular forms of weight 2 on \(\Gamma_0(M)\)
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