The Hecke correspondences for G(q12); q prime; Eisenstein series and modular invariants
نویسندگان
چکیده
منابع مشابه
Genus Theta Series, Hecke Operators and the Basis Problem for Eisenstein Series
We derive explicit formulas for the action of the Hecke operator T (p) on the genus theta series of a positive definite integral quadratic form and prove a theorem on the generation of spaces of Eisenstein series by genus theta series. We also discuss connections of our results with Kudla’s matching principle for theta integrals.
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is a weight k ∈ 2Z meromorphic modular form on SL2(Z). It is well known that f(z) is distinguished by its weight k and its “first few coefficients”. The Riemann-Roch Theorem provides the number of coefficients which are sufficient for distinguishing such a form f(z). Here we obtain a combinatorial extension of this classical fact; specifically, we give universal recursion relations which produc...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1976
ISSN: 0021-8693
DOI: 10.1016/0021-8693(76)90128-9