Bulletin of the
Korean Mathematical Society
BKMS

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Bull. Korean Math. Soc. 2011; 48(6): 1219-1224

Printed November 1, 2011

https://doi.org/10.4134/BKMS.2011.48.6.1219

Copyright © The Korean Mathematical Society.

A determinant formula for congruent zeta functions of real abelian function fields

Jaehyun Ahn and Hwanyup Jung

Chungnam National University, Chungbuk National University

Abstract

In this paper we give a determinant formula for congruent zeta functions of real Abelian function fields. We also give some examples of congruent zeta functions when the conductor of real Abelian function field is monic irreducible.

Keywords: congruent zeta function, Abelian function field

MSC numbers: 11R58, 11R60, 11M38

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