Multiplicative Functions with Matrix Characters on Compact Riemann Surfaces

被引：0

作者：

Bespomestnykh, Alena A. ^{[1
]}

Chueshev, Viktor V. ^{[1
]}

机构：

[1] Kemerovo State Univ, Fac Math, Krasnaya 6, Kemerovo 650043, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2009年 / 2卷 / 01期

关键词：

compact Riemann surface; multiplicative functions and Prym differentials; matrix characters; theta Poincare series; Fuchsian group;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The theory of multiplicative functions and Prym differentials for special (scalar) characters on compact Riemann surfaces has many applications in the theory of functions, in analytic numbers theory and in mathematical physics. In this article we proove existence of matrix multiplicative functions and Prym m-differentials for every matrix characters with values in GL(n, C) on compact Riemann surfaces.

引用

页码：31 / 40

页数：10