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http://dx.doi.org/10.4134/CKMS.2012.27.3.455

ON THE RELATIVE ZETA FUNCTION IN FUNCTION FIELDS  

Shiomi, Daisuke (Graduate School of Mathematics Nagoya University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 455-464 More about this Journal
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;
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  • Reference
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