کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417611 1339300 2016 44 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Twisted second moments of the Riemann zeta-function and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Twisted second moments of the Riemann zeta-function and applications
چکیده انگلیسی

In order to compute a twisted second moment of the Riemann zeta-function, two different mollifiers, each being a combination of two different Dirichlet polynomials, were introduced separately by Bui, Conrey, and Young, and by Feng. In this article we introduce a mollifier which is a combination of four Dirichlet polynomials of different shapes. We provide an asymptotic result for the twisted second moment of ζ(s) for such choice of mollifier. A small increment on the percentage of zeros of the Riemann zeta-function on the critical line is given as an application of our results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 434, Issue 1, 1 February 2016, Pages 271-314
نویسندگان
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