Theory of The Generalized Bernoulli-Hurwitz Numbers for The Algebraic Functions of Cyclotomic Type and The Universal Bernoulli Numbers
| dc.creator | Ônishi, Yoshihiro | |
| dc.date | 2004-06-06 | |
| dc.date | 2004-06-15 | |
| dc.date.accessioned | 2026-07-07T05:08:54Z | |
| dc.date.available | 2026-07-07T05:08:54Z | |
| dc.description | Hurwitz numbers are the Laurent coefficients of an elliptic function $\wp(u)$ of cyclotomic type, and they are natural generalization of the Bernoulli numbers. This paper gives new generalization of Bernoulli and Hurwitz numbers for higher genus cases. They satisfy completely von Staudt-Clausen type theorem, an extension of von Staudt second theorem, and Kummer type congruence relation. The present paper is revised and combined version of math.NT/0304377 and math.NT/0312178 containing many numerical examples. | |
| dc.description | AMS-TeX, 91 pages. Cleaned up several typos in old versions | |
| dc.identifier | https://arxiv.org/abs/math/0406096 | |
| dc.identifier | http://arxiv.org/abs/math/0406096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71445 | |
| dc.subject | Number Theory | |
| dc.title | Theory of The Generalized Bernoulli-Hurwitz Numbers for The Algebraic Functions of Cyclotomic Type and The Universal Bernoulli Numbers | |
| dc.type | text |