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...
متن کاملCongruences for Fourier Coefficients of Half-integral Weight Modular Forms and Special Values of L−functions
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
متن کاملSaito-kurokawa Lifts, L-values for Gl2, and Congruences between Siegel Modular Forms
Saito-Kurokawa Lifts, L-values for GL2, and Congruences Between Siegel ModularForms
متن کاملOn Symmetric Square Values of Quadratic Polynomials
We prove that there does not exist a non-square quadratic polynomial with integer coefficients and an axis of symmetry which takes square values for N consecutive integers for N = 7 or N ≥ 9. At the opposite, if N ≤ 6 or N = 8 there are infinitely many.
متن کاملRecovering Cusp Forms on Gl(2) from Symmetric Cubes
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2010
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2010.01.012