A NOTE ON THE MEAN VALUE OF L-FUNCTIONS IN FUNCTION FIELDS

作者：Andrade Julio^*

来源：International Journal of Number Theory, 2012, 8(7): 1725-1740.

DOI：10.1142/S1793042112500996

• Mean values of L-functions
• finite fields
• function fields
• hyperelliptic curves
• class numbers

An asymptotic formula for the sum Sigma L(1, chi) is established for a family of hyperelliptic curves of genus g over a fixed finite field F-q as g -%26gt; infinity 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 F-q[T, root D].

• 出版日期2012-11