CYCLIC SUBGROUPS IN THE CHARACTER GROUP
Abstract
V. V. Chueshev began building the general theory of multiplicative functions and Prym differentials on compact Riemann surfaces for arbitrary characters. The paper provides an explicite description of cyclic subgroups in the characters group for compact Riemann surfaces of the genus g > 1. This description allows acquiring new applications in the theory of multiplicative functions, Prym differentials and in the theory of multiplicative Weierstrass points on such surfaces
About the Authors
M. I. Tulina
Gorno-Altaisk State University
Russian Federation
Marina I. Tulina – Candidate of Physics and Mathematics, Senior Lecturer at the Department of the Mathematical Analysis
Russian Federation
Marina I. Tulina – Candidate of Physics and Mathematics, Senior Lecturer at the Department of the Mathematical Analysis
О. А. Chuesheva
Kemerovo State University
Russian Federation
Olga A. Chuesheva – Senior Lecturer at the Department of Fundamental Mathematics
Russian Federation
Olga A. Chuesheva – Senior Lecturer at the Department of Fundamental Mathematics
References
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Review
For citations:
Tulina M.I., Chuesheva О.А. CYCLIC SUBGROUPS IN THE CHARACTER GROUP. SibScript. 2015;(4-3):136-139. (In Russ.)
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