کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4594335 1335753 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extremal values for the sum
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Extremal values for the sum
چکیده انگلیسی

Let q be an odd integer, let τ be the order of 2 modulo q, and let a be coprime with q. Finally, let . We prove that |s(a/q)| can be as large as τ−c′ for a suitable constant c′ for infinitely many q, but that max(a,q)=1|s(a/q)| is always bounded from above by τ−c for a suitable positive constant c whose value is considerably larger that any previously known. An upper bound for min(a,q)=1|s(a/q)| is also discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 132, Issue 11, November 2012, Pages 2595-2603