Hecke theory over arbitrary number fields

DOI10.1016/0022-314X(89)90001-2zbMath0691.10017MaRDI QIDQ582318

Robert Styer

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Fourier expansionsalgebraic number fieldPetersson inner producteigenformideal numbersautomorphy factorsDirichlet series with Euler product and functional equationeffect of Hecke operators on Fourier expansionsh-length vectors of matrix operatorsh-length vectors of modular formsHecke theoryprincipal componentself-adjointness of Hecke operatorsvector modular forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Algebraic number theory: global fields (11R99)

Related Items

Eisenstein series over complex quadratic fields when the class number exceeds one, Arithmetic Aspects of Bianchi Groups

Cites Work

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• Eisenstein series over complex quadratic fields when the class number exceeds one
• Hecke operators on \(\Gamma_0(m)\)
• Dirichlet series and automorphic forms
• Über Hilbertsche Modulfunktionen und die Dirichletschen Reihen mit Eulerschen Produktenentwicklung
• Lectures on Modular Forms. (AM-48)