کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595051 1335795 2008 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Average values of L-functions in characteristic two
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Average values of L-functions in characteristic two
چکیده انگلیسی

Gauss made two conjectures about average values of class numbers of orders in quadratic number fields, later on proven by Lipschitz and Siegel. A version for function fields of odd characteristic was established by Hoffstein and Rosen. In this paper, we extend their results to the case of even characteristic. More precisely, we obtain formulas of average values of L-functions associated to orders in quadratic function fields over a constant field of characteristic two, and then derive formulas of average class numbers of these orders.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 128, Issue 7, July 2008, Pages 2138-2158