Congruences for the Fourier coefficients of certain modular forms.
نویسندگان
چکیده
منابع مشابه
Fourier Coefficients of Modular Forms
These notes describe some conjectures and results related to the distribution of Fourier coefficients of modular forms. This is a rough draft and these notes should forever be considered incomplete.
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Congruences for Fourier coefficients of integer weight modular forms have been the focal point of a number of investigations. In this note we shall exhibit congruences for Fourier coefficients of a slightly different type. Let f(z) = P∞ n=0 a(n)q n be a holomorphic half integer weight modular form with integer coefficients. If ` is prime, then we shall be interested in congruences of the form
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Let d(n) denote the number of divisors of n. In this paper, we study the average value of d(a(p)), where p is a prime and a(p) is the p-th Fourier coefficient of a normalized Hecke eigenform of weight k ≥ 2 for Γ0(N) having rational integer Fourier coefficients.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1976
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11651