A trace formula for Hecke operators on \(L^2(S^2)\) and modular forms on \(\Gamma_0(4)\)

DOI10.1007/BF02941470zbMath0990.11025MaRDI QIDQ5956172

Jürgen Elstrodt

Publication date: 20 August 2002

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

traceEisenstein seriesHecke operatorDedekind eta functionexplicit formulaJacobi theta series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Modular forms and differential operators
• Spherical harmonics
• On modular forms of half integral weight
• Hecke operators and distributing points on the sphere I
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