Quadratic Minima and Modular Forms
نویسنده
چکیده
1991 Mathematics Subject Classi cation: 11F11, 11E20.
منابع مشابه
1 4 Ja n 19 98 QUADRATIC MINIMA AND MODULAR FORMS
We give upper bounds on the size of the gap between the constant term and the next non-zero Fourier coefficient of an entire modular form of given weight for Γ0(2). Numerical evidence indicates that a sharper bound holds for the weights h ≡ 2 ( mod 4). We derive upper bounds for the minimum positive integer represented by level two even positive-definite quadratic forms. Our data suggest that, ...
متن کاملJa n 19 98 QUADRATIC MINIMA AND MODULAR FORMS
We give upper bounds on the size of the gap between the constant term and the next non-zero Fourier coefficient of an entire modular form of given weight for Γ0(2). Numerical evidence indicates that a sharper bound holds for the weights h ≡ 2 ( mod 4). We derive upper bounds for the minimum positive integer represented by level two even positive-definite quadratic forms. Our data suggest that, ...
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We give upper bounds on the size of the gap between the constant term and the next non-zero Fourier coefficient of an entire modular form of given weight for Γ0(2). Numerical evidence indicates that a sharper bound holds for the weights h ≡ 2 ( mod 4). We derive upper bounds for the minimum positive integer represented by level two even positive-definite quadratic forms. Our data suggest that, ...
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Carl Ludwig Siegel showed in [Siegel 1969] (English translation, [Siegel 1980]) that the constant terms of certain level one negative-weight modular forms Th are non-vanishing (“ Satz 2 ”), and that this implies an upper bound on the least positive exponent of a non-zero Fourier coefficient for any level one entire modular form of weight h with a non-zero constant term. Level one theta function...
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LetK be an imaginary quadratic field with class number one. We prove that mod l, a system of Hecke eigenvalues occurring in the first cohomology group of some congruence subgroup Γ of SL2(ØK) can be realized, up to twist, in the first cohomology with trivial coefficients after increasing the level of Γ by (l). 1. Motivation and Summary Let G be a connected semisimple algebraic group defined ove...
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 7 شماره
صفحات -
تاریخ انتشار 1998