Quadratic minima and modular forms
| dc.creator | Brent, Barry | |
| dc.date | 1998-01-14 | |
| dc.date | 1998-03-01 | |
| dc.date.accessioned | 2026-07-07T05:23:35Z | |
| dc.date.available | 2026-07-07T05:23:35Z | |
| dc.description | We give upper bounds on the size of the gap between the constant term and the next non-zero Fourier coefficient of an entire modular form of given weight for Γ_0(2). Numerical evidence indicates that a sharper bound holds for the weights h \equiv 2 . We derive upper bounds for the minimum positive integer represented by level two even positive-definite quadratic forms. Our data suggest that, for certain meromorphic modular forms and p=2,3, the p-order of the constant term is related to the base-p expansion of the order of the pole at infinity, and they suggest a connection between divisibility properties of the Ramanujan tau function and those of the Fourier coefficients of 1/j. | |
| dc.description | To appear in "Experimental Mathematics". 25 pages. Section 5 cuts omit "weakly level 1" results, since weakly level 1 => level 1 (as pointed out to me by Rainer Schulze-Pillot.) | |
| dc.identifier | https://arxiv.org/abs/math/9801072 | |
| dc.identifier | http://arxiv.org/abs/math/9801072 | |
| dc.identifier | Exp. Math., 7 (1998) 257-274 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76498 | |
| dc.subject | Number Theory | |
| dc.subject | 11F11 | |
| dc.title | Quadratic minima and modular forms | |
| dc.type | text |