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arXiv · 0906.3129

A determinant formula for relative congruence zeta functions for cyclotomic function fields

Daisuke Shiomi
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Abstract

Rosen M. gave a determinant formula for relative class numbers for the P-th cyclotomic function fields in the case of the monic irreducible polynomial P, which is regarded as an analogue of the classical Maillet determinant. In this paper, we will give a determinant formula for the relative congruence zeta functions for cyclotomic function fields. Our formula is regarded as a generalization of the determinant formula for the relative class number.

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Daisuke Shiomi. 2009-07-17. A determinant formula for relative congruence zeta functions for cyclotomic function fields. https://doi.org/10.4064/aa138-3-3

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