Distribution of integral Fourier Coefficients of a Modular Form of Half Integral Weight Modulo Primes
| dc.creator | Choi, Dohoon | |
| dc.date | 2007-03-31 | |
| dc.date.accessioned | 2026-07-07T07:54:18Z | |
| dc.date.available | 2026-07-07T07:54:18Z | |
| dc.description | Recently, Bruinier and Ono classified cusp forms $f(z) := \sum_{n=0}^{\infty} a_f(n)q ^n \in S_{λ+1/2}(Γ_0(N),χ)\cap \mathbb{Z}[[q]]$ that does not satisfy a certain distribution property for modulo odd primes $p$. In this paper, using Rankin-Cohen Bracket, we extend this result to modular forms of half integral weight for primes $p \geq 5$. As applications of our main theorem we derive distribution properties, for modulo primes $p\geq5$, of traces of singular moduli and Hurwitz class number. We also study an analogue of Newman's conjecture for overpartitions. | |
| dc.identifier | https://arxiv.org/abs/0704.0012 | |
| dc.identifier | http://arxiv.org/abs/0704.0012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126553 | |
| dc.subject | Number Theory | |
| dc.subject | 11F11,11F33 | |
| dc.title | Distribution of integral Fourier Coefficients of a Modular Form of Half Integral Weight Modulo Primes | |
| dc.type | text |