✦ LIBER ✦
On certain character sums over p -adic rings and their L -functions
✍ Scribed by Régis Blache
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 244 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper we present a new method for evaluating exponential sums associated to a restricted power series in one variable modulo p^l^ , a power of a prime. We show that for sufficiently large l, these sums can be expressed in terms of Gauss sums. Moreover, we study the associated L ‐functions; we show that they are rational, then we determine their degrees and the weights as Weil numbers of their reciprocal roots and poles. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)