On primitive roots of tori: The case of function fields |
| |
| Authors: | Yen-Mei J Chen Yoshiyuki Kitaoka Jing Yu |
| |
| Institution: | (1) Department of Math., Tamkang University, Tamshui, Taipei, Taiwan (e-mail: ymjchen@mail.tku.edu.tw) , TW;(2) Department of Math., Meijo University, Tenpaku, Nagoya, 468-8502, Japan (e-mail: kitaoka@meijo-u.ac.jp) , JP;(3) Institute of Math., Academia Sinica, Nankang, Taipei, Taiwan (e-mail: yu@math.sinica.edu.tw) , TW;(4) National Center for Theoretical Sciences, Hsinchu, Taiwan , TW |
| |
| Abstract: | We generalize Bilharz's Theorem for to all one-dimensional tori over global function fields of finite constant field. As an application, we also derive an analogue,
in the setting of function fields, of a theorem (Chen-Kitaoka-Yu, Roskam) on the distribution of fundamental units modulo
primes.
Received: 16 October 2000 / Published online: 2 December 2002
Research partially supported by National Science Council, Rep. of China. |
| |
| Keywords: | Mathematics Subject Classification (1991): 11R11 11R45 11R58 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
