Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
نویسندگان
چکیده
منابع مشابه
The pair correlation of zeros of the Riemann zeta function and distribution of primes
Assuming a special version of the Montgomery-Odlyzko law on the pair correlation of zeros of the Riemann zeta function conjectured by Rudnick and Sarnak and assuming the Riemann Hypothesis, we prove new results on the prime number theorem, difference of consecutive primes, and the twin prime conjecture. 1. Introduction. Assuming the Riemann Hypothesis (RH), let us denote by 1=2 ig a nontrivi...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2017
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2014-0078