ON THE RELATIVE ZETA FUNCTION IN FUNCTION FIELDS

DOI10.4134/CKMS.2012.27.3.455zbMATH Open1333.11088OpenAlexW2081695194MaRDI QIDQ2904286

Daisuke Shiomi

Publication date: 13 August 2012

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/ckms.2012.27.3.455

zbMATH Keywords

function fieldclass numberzeta function

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (7)

A DETERMINANT FORMULA FOR RELATIVE CONGRUENCE ZETA FUNCTIONS FOR CYCLOTOMIC FUNCTION FIELDS ⋮ The multiplicative and functional independence of Dedekind zeta functions of abelian fields ⋮ The two-variable zeta function and the Riemann hypothesis for function fields ⋮ Arithmetic equivalence for function fields, the Goss zeta function and a generalisation ⋮ A note on zeta measures over function fields ⋮ Relative zeta functions, relative determinants and scattering theory ⋮ A DETERMINANT FORMULA FOR CONGRUENT ZETA FUNCTIONS OF REAL ABELIAN FUNCTION FIELDS

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