On the relative zeta function in function fields
Commun. Korean Math. Soc. 2012 Vol. 27, No. 3, 455-464
Printed September 1, 2012
Daisuke Shiomi
Nagoya University
Abstract : In the previous paper [8], the author gave a determinant formula of relative zeta function for cyclotomic function fields. Our purpose of this paper is to extend this result for more general function fields. As an application of our formula, we will give determinant formulas of class numbers for constant field extensions.
Keywords : zeta functions, class numbers, function fields
MSC numbers : 11M38, 11R58
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