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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Twisted second moments of the Riemann zeta-function and applications Twisted second moments of the Riemann zeta-function and applications](/preview/png/6417611.png)
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
Journal: Journal of Mathematical Analysis and Applications - Volume 434, Issue 1, 1 February 2016, Pages 271-314
نویسندگان
Nicolas Robles, Arindam Roy, Alexandru Zaharescu,