Trace formulas and class number sums
| dc.creator | Jones, Nathan | |
| dc.date | 2006-10-31 | |
| dc.date.accessioned | 2026-07-07T07:29:39Z | |
| dc.date.available | 2026-07-07T07:29:39Z | |
| dc.description | We specialize the Eichler-Selberg trace formula to obtain trace formulas for the prime-to-level Hecke action on cusp forms for certain congruence groups of arbitrary level. As a consequence, we determine the asymptotic in the prime p of the number of (weighted) SL(2,Z)-conjugation orbits of 2 by 2 matrices of determinant p whose reductions modulo N lie in a given conjugacy class in GL(2,Z/NZ). This generalizes an 1885 result of Hurwitz. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610959 | |
| dc.identifier | http://arxiv.org/abs/math/0610959 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118195 | |
| dc.subject | Number Theory | |
| dc.subject | 11R29; 11F32 | |
| dc.title | Trace formulas and class number sums | |
| dc.type | text |