A determinant formula for congruence zeta functions of maximal real cyclotomic function fields

DOI10.4064/aa138-3-3zbMath1228.11138arXiv0906.3129OpenAlexW2763429525MaRDI QIDQ3184321

Daisuke Shiomi

Publication date: 14 October 2009

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3129

zbMATH Keywords

congruence function fieldscyclotomic function fieldsclass numbersWeil zeta functioncongruence zeta functionmaximal real cyclotomic function field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29) Zeta and (L)-functions in characteristic (p) (11M38)

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A DETERMINANT FORMULA FOR RELATIVE CONGRUENCE ZETA FUNCTIONS FOR CYCLOTOMIC FUNCTION FIELDS ⋮ Determinant formulas for zeta functions for real abelian function fields

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