Journal article
The pair correlation of zeros of the Riemann zeta function and distribution of primes
Archiv der Mathematik, Vol.76(1), pp.41-50
01/2001
DOI: 10.1007/s000130050540
Abstract
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.
Details
- Title: Subtitle
- The pair correlation of zeros of the Riemann zeta function and distribution of primes
- Creators
- J Liu - Department of Mathematics, Shandong University, Jinan 250100, China CNY Ye - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USA US
- Resource Type
- Journal article
- Publication Details
- Archiv der Mathematik, Vol.76(1), pp.41-50
- DOI
- 10.1007/s000130050540
- ISSN
- 0003-889X
- eISSN
- 1420-8938
- Publisher
- Birkhäuser Verlag; Basel
- Language
- English
- Date published
- 01/2001
- Academic Unit
- Mathematics
- Record Identifier
- 9983985951802771
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