A congruence for the Fourier coefficients of a modular form and its application to quadratic forms

Autor:	Hyunsuk Moon
Rok vydání:	2008
Předmět:	Discrete mathematics Pure mathematics Algebra and Number Theory Number theory Quadratic form Modular form Eigenform Congruence (manifolds) Isotropic quadratic form Prime (order theory) Congruence of squares Mathematics
Zdroj:	The Ramanujan Journal. 16:73-81
ISSN:	1572-9303 1382-4090
DOI:	10.1007/s11139-007-9097-6
Popis:	Let F(z)=∑n=1∞A(n)qn 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::af17def38c584b4fc742728bbf0bee1a https://doi.org/10.1007/s11139-007-9097-6 Zobrazit plný text záznamu Full text from SpringerLink