On the genera of X_0(N)
| dc.creator | Csirik, János A. | |
| dc.creator | Wetherell, Joseph L. | |
| dc.creator | Zieve, Michael E. | |
| dc.date | 2000-06-13 | |
| dc.date | 2000-09-05 | |
| dc.date.accessioned | 2026-07-07T04:35:52Z | |
| dc.date.available | 2026-07-07T04:35:52Z | |
| dc.description | Let g_0(N) be the genus of the modular curve X_0(N). We record several properties of the sequence {g_0(N)}. Even though the average size of g_0(N) is 1.25N/pi^2, a random positive integer has probability zero of being a value of g_0(N). Also, if N is a random positive integer then g_0(N) is odd with probability one. The smallest non-negative integer not occuring as g_0(N) for any N is 150; the smallest such odd integer is 49267. | |
| dc.description | 9 pages; minor changes in v2 | |
| dc.identifier | https://arxiv.org/abs/math/0006096 | |
| dc.identifier | http://arxiv.org/abs/math/0006096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59402 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G35 | |
| dc.title | On the genera of X_0(N) | |
| dc.type | text |