A relation between the zeros of different two $L$-functions which have the Euler product and functional equation
| dc.creator | Suzuki, Masatoshi | |
| dc.date | 2004-12-11 | |
| dc.date.accessioned | 2026-07-07T05:15:13Z | |
| dc.date.available | 2026-07-07T05:15:13Z | |
| dc.description | As automorphic $L$-functions or Artin $L$-functions, several classes of $L$-functions have Euler products and functional equations. In this paper we study the zeros of $L$-functions which have the Euler products and functional equations. We show that there exists some relation between the zeros of the Riemann zeta-function and the zeros of such $L$-functions. As a special case of our results, we find the relations between the zeros of the Riemann zeta-function and the zeros of automorphic $L$-functions attached to elliptic modular forms or the zeros of Rankin-Selberg $L$-functions attached to two elliptic modular forms. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0412224 | |
| dc.identifier | http://arxiv.org/abs/math/0412224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73558 | |
| dc.subject | Number Theory | |
| dc.subject | 11M41 | |
| dc.title | A relation between the zeros of different two $L$-functions which have the Euler product and functional equation | |
| dc.type | text |