Symmetric square L-values and dihedral congruences for cusp forms
نویسندگان
چکیده
منابع مشابه
Congruences for Level Four Cusp Forms
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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Let F be a number field with adele ring AF , and let π, π ′ be cuspidal automorphic representations of GL2(AF ), say with the same central character. If the symmetric squares of π and π are isomorphic, we know that π will need to be an abelian, in fact quadratic, twist of π, which amounts to a multiplicity one statement for SL(2) ([Ram1]). It is of interest to ask if the situation is the same f...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2010
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2010.01.012