On effective determination of cusp forms by L-values, level aspect
نویسندگان
چکیده
منابع مشابه
Determination of Modular Forms by Twists of Critical L-values
Contents 0 Introduction 1 1 Preliminaries 4 2 p-power twists 7 3 Quadratic twists 13 4 Generation of coeecient elds by ratios of L-values 20 5 p-adic L-functions 22 6 Forms of half integral weight 25 Bibliography 28 0 Introduction Let f be a normalized holomorphic newform (deened on the upper half plane H) of level N, weight 2k and trivial character. It is given by a Fourier expansion f(z) = P ...
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In this paper, we study congruences for modular forms of half-integral weight on Γ0(4). Suppose that ` ≥ 5 is prime, that K is a number field, and that v is a prime of K above `. Let Ov denote the ring of v-integral elements of K, and suppose that f(z) = ∑∞ n=1 a(n)q n ∈ Ov[[q]] is a cusp form of weight λ + 1/2 on Γ0(4) in Kohnen’s plus space. We prove that if the coefficients of f are supporte...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2014
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2014.03.012