A note on the mean value of L(1, χ) in the hyperelliptic ensemble

DOI10.1142/S1793042114500031zbMath1297.11141MaRDI QIDQ5494548

Hwanyup Jung

Publication date: 28 July 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

function fieldfinite fieldclass numbermean values of \(L\)-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (6)

Average values of \(L\)-functions in even characteristic ⋮ Unnamed Item ⋮ Mean value of the class number in function fields revisited ⋮ COMPLEX MOMENTS AND THE DISTRIBUTION OF VALUES OF OVER FUNCTION FIELDS WITH APPLICATIONS TO CLASS NUMBERS ⋮ The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields ⋮ REMARK ON AVERAGE OF CLASS NUMBERS OF FUNCTION FIELDS

Cites Work

• The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble
• The average measure of quadratic forms with given determinant and signature
• A NOTE ON THE MEAN VALUE OF L-FUNCTIONS IN FUNCTION FIELDS

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