Coefficients of half-integral weight modular forms
2003; Elsevier BV; Volume: 99; Issue: 1 Linguagem: Inglês
10.1016/s0022-314x(02)00061-6
ISSN1096-1658
AutoresJan Hendrik Bruinier, Ken Ono,
Tópico(s)Advanced Mathematical Identities
ResumoIn this paper, we study the distribution of the coefficients a(n) of half-integral weight modular forms modulo odd integers M. As a consequence, we obtain improvements of indivisibility results for the central critical values of quadratic twists of L-functions associated with integral weight newforms established in Ono and Skinner (Fourier coefficients of half-integral weight modular forms modulo ℓ, Ann. of Math. 147 (1998) 453–470). Moreover, we find a simple criterion for proving cases of Newman's conjecture for the partition function.
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