Sign changes of coefficients of half integral weight modular forms
| dc.creator | Bruinier, Jan Hendrik | |
| dc.creator | Kohnen, Winfried | |
| dc.date | 2007-09-13 | |
| dc.date.accessioned | 2026-07-07T08:29:17Z | |
| dc.date.available | 2026-07-07T08:29:17Z | |
| dc.description | For a half integral weight modular form $f$ we study the signs of the Fourier coefficients $a(n)$. If $f$ is a Hecke eigenform of level $ N$ with real Nebentypus character, and $t$ is a fixed square-free positive integer with $a(t)\neq 0$, we show that for all but finitely many primes $p$ the sequence $(a(tp^{2m}))_{m}$ has infinitely many signs changes. Moreover, we prove similar (partly conditional) results for arbitrary cusp forms $f$ which are not necessarily Hecke eigenforms. | |
| dc.identifier | https://arxiv.org/abs/0709.2001 | |
| dc.identifier | http://arxiv.org/abs/0709.2001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137914 | |
| dc.subject | Number Theory | |
| dc.subject | 11F30, 11F37 | |
| dc.title | Sign changes of coefficients of half integral weight modular forms | |
| dc.type | text |