scientific article; zbMATH DE number 1145199

zbMath0895.11001MaRDI QIDQ4384487

Max Koecher, Aloys Krieg

Publication date: 26 April 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

functional equationelliptic curvesharmonic polynomialsmodular functionsEisenstein seriesJacobi formsquadratic formscomplex multiplicationelliptic functionsDirichlet seriesDedekind's eta-functioncusp formsHecke operatorsSiegel modular groupKronecker's limit formulaPetersson inner productRankin convolutionalgebra of Hecke operatorsEpstein zeta-functionWeierstrass \(\wp\)-functiondiscontinuous subgroupsperiodic meromorphic functionsproduct representationsweight formulamodular forms of one variableJacobi's theta seriesfield of elliptic functionsassociated torilattices and their invariants

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Theta series; Weil representation; theta correspondences (11F27) Complex multiplication and moduli of abelian varieties (11G15) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Elliptic functions and integrals (33E05)

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