scientific article; zbMATH DE number 819099

zbMath0839.11059MaRDI QIDQ4855941

Michael I. Rosen

Publication date: 19 June 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

class numberzeta functionsfunctionmean value of \(L\)-functionscyclic function fields\(L\)-functions unctions of functions fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Class numbers, class groups, discriminants (11R29) Rate of growth of arithmetic functions (11N56) Class groups and Picard groups of orders (11R65) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (7)

The mean values of cubic \(L\)-functions over function fields ⋮ The mean value of the class numbers of cubic function fields ⋮ Artin-Schreier extensions of the rational function field ⋮ AVERAGE OF CLASS NUMBERS OF SOME FAMILY OF ARTIN-SCHREIER EXTENSIONS OF RATIONAL FUNCTION FIELDS ⋮ NOTE ON AVERAGE OF CLASS NUMBERS OF CUBIC FUNCTION FIELDS ⋮ Mean values of derivatives of \(L\)-functions for cyclotomic characters in function fields ⋮ Non-vanishing of $L$-functions for cyclotomic characters in function fields

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