ON IHARAS POWER-SERIES

被引：1

作者：

MIKI, H

机构：

[1] INST HAUTES ETUD SCI,F-91440 BURES SUR YVETTE,FRANCE

[2] KYOTO INST TECHNOL,FAC ENGN & DESIGN,DEPT LIBERAL ARTS & SCI,KYOTO 606,JAPAN

来源：

JOURNAL OF NUMBER THEORY | 1995年 / 54卷 / 01期

关键词：

D O I：

10.1006/jnth.1995.1099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new simple proof to Ihara's conjecture on the coefficients of his power series interpolating Jacobi sums as an application of the method of proof of our congruence for the Gauss sums previously obtained by the author. More precisely, we will determine the coefficients (mod l(n)) of the Gauss sum power series, which is defined naturally in terms of Gauss sum. As an application, we get Anderson's power series and Ihara's power series. (C) 1995 Academic Press, Inc.

引用

页码：23 / 38

页数：16

共 13 条

[1] THE HYPERADELIC GAMMA-FUNCTION [J].