Results 141 to 150 of about 1,077,663 (191)

Hecke Operators on Jacobi-like Forms

Canadian Mathematical Bulletin, 2001
AbstractJacobi-like forms for a discrete subgroup are formal power series with coefficients in the space of functions on the Poincaré upper half plane satisfying a certain functional equation, and they correspond to sequences of certain modular forms. We introduce Hecke operators acting on the space of Jacobi-like forms and obtain an explicit formula ...
Lee, Min Ho, Myung, Hyo Chul
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Siegel eisenstein series and hecke operators

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1997
Consider the set of Siegel modular forms \(f\) of genus \(n\), weight \(r\) and level \(q\) which do not vanish at all zero-dimensional cusps. It is known that if such an \(f\) is an eigenform of some power \(T(p)^m\) \((m\geq 1)\) of the Hecke operator \(T(p)\) for at least one prime \(p\equiv \pm 1\bmod q\) and if \(r>n+1\), then \(f\) is uniquely ...
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Hecke operators on rational functions I

Forum Mathematicum, 2005
Summary: We define ``Hecke operators'' \(U_m\) that sift out every \(m\)-th Taylor series coefficient of a rational function in one variable, defined over the reals. (They are termed ``Hecke operators'' since they are analogous to the so-named concept from the theory of automorphic forms.) We prove several structure theorems concerning the ...
Gil, Juan B., Robins, Sinai
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Hecke Operators and Frobenii

1990
This chapter contains an elementary discussion of Hecke operators and Frobenii operating on locally constant systems on A g , and we do not pretend to have proved any serious theorem here. Difficulties arise on two sides: in geometry, with the Lefschetz trace formula for Hecke correspondences and in the harmonic analysis, with the Selberg trace formula
Gerd Faltings, Ching-Li Chai
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Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting

Complex Analysis and Operator Theory, 2023
C. Chettaoui, Hassen Ben Mohamed
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A TRACE FORMULA FOR HECKE OPERATORS

Mathematics of the USSR-Sbornik, 1984
Translation from Mat. Sb., Nov. Ser. 119 (161), No.3, 418-430 (Russian) (1982; Zbl 0516.10019).
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Traces of Hecke Operators

1989
The Fourier coefficients of Eisenstein series are quite simple, since they are derived from Dirichlet L-functions. To the contrary, the Fourier coefficients of cusp forms, or equivalently the eigen values of Hecke operators are quite mysterious and play important roles in applications of modular forms to number theory (for example, see [Shimura 4] and [
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Automorphic Forms and Hecke Operators

2019
We first introduce the Hecke ring of a \(\mathbb {Z}\)-group G and discuss it basic properties (local-global structure, compatibility with isogenies, criterion for commutativity…). An elementary description of the Hecke rings of classical groups is given.
Gaëtan Chenevier, Jean Lannes
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SELBERG'S TRACE FORMULA FOR THE HECKE OPERATOR GENERATED BY AN INVOLUTION, AND THE EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR ON THE FUNDAMENTAL DOMAIN OF THE MODULAR GROUP $ PSL(2,\mathbf{Z})$

, 1978
A. Venkov
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Action of the irregular Hecke operator of index p on the theta-series of a quadratic form

, 1987
S. Evdokimov
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