کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415640 1335747 2012 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The mean value of L(12,χ) in the hyperelliptic ensemble
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The mean value of L(12,χ) in the hyperelliptic ensemble
چکیده انگلیسی

We obtain an asymptotic formula for the first moment of quadratic Dirichlet L-functions over the rational function field at the central point s=12. Specifically, we compute the expected value of L(12,χ) for an ensemble of hyperelliptic curves of genus g over a fixed finite field as g→∞. Our approach relies on the use of the analogue of the approximate functional equation for such L-functions. The results presented here are the function field analogues of those obtained previously by Jutila in the number-field setting and are consistent with recent general conjectures for the moments of L-functions motivated by Random Matrix Theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 132, Issue 12, December 2012, Pages 2793-2816
نویسندگان
, ,