کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616371 1339348 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On Balazard, Saias, and Yor’s equivalence to the Riemann Hypothesis
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On Balazard, Saias, and Yor’s equivalence to the Riemann Hypothesis
چکیده انگلیسی

Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equaling zero. Assuming the Riemann Hypothesis, we investigate the rate at which a truncated version of this integral tends to zero, answering a question of Borwein, Bradley, and Crandall and disproving a conjecture of the same authors. A simple modification of our techniques gives a new proof of a classical Omega theorem for the function S(t)S(t) in the theory of the Riemann zeta-function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 409, Issue 1, 1 January 2014, Pages 244–253
نویسندگان
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