Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (1)
- Authors
- Bespomestnych, Alena A.; Chueshev, Victor V.
- Contact information
- Алена А.Беспоместных, Виктор В.Чуешев: Математический факультет Кемеровский государственный университет Красная 6, Кемерово, 650043, Россия, e-mail:
- Keywords
- compact Riemann surface; multiplicative functions and Prym differentials; matrix characters; theta Poincare series; Fuchsian group
- Abstract
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.
- Pages
- 31-40
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/886
Journal of Siberian Federal University. Mathematics & Physics / Multiplicative Functions with Matrix Characters on Compact Riemann Surfaces
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