Affiliation:
1. School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK
Abstract
An asymptotic formula for the sum ∑ L(1, χ) is established for a family of hyperelliptic curves of genus g over a fixed finite field 𝔽q as g → ∞ making use of the analog of the approximate functional equation for such L-functions. As a corollary, we obtain a formula for the average of the class number of the associated rings [Formula: see text].
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
11 articles.
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