A congruence for the Fourier coefficients of a modular form and its application to quadratic forms |
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| Authors: | Hyunsuk Moon |
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| Affiliation: | (1) Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu, 702-701, Korea |
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| Abstract: | Let F(z)=∑ n=1∞ A(n)q n denote the unique weight 6 normalized cuspidal eigenform on Γ0(4). We prove that A(p)≡0,2,−1(mod 11) when p≠11 is a prime. We then use this congruence to give an application to the number of representations of an integer by quadratic form of level 4. |
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| Keywords: | Congruence l-adic Galois representation Quadratic form |
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