Pair correlation of zeros, primes in short intervals and exponential sums over primes

DOI10.1006/JNTH.2000.2511zbMath0973.11081OpenAlexW2057289224MaRDI QIDQ1590269

Alessandro Languasco, Alberto Perelli

Publication date: 1 January 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2511

zbMATH Keywords

primesRiemann zeta-functionexponential sums over primesPair correlation

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) (zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Sums over primes (11L20) Distribution of primes (11N05)

Related Items (1)

Explicit relations between primes in short intervals and exponential sums over primes

Cites Work

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• On Linnik's theorem on Goldbach numbers in short intervals and related problems
• Some singular series averages and the distribution of Goldbach numbers in short intervals
• Topics in multiplicative number theory
• Local problems with primes I.
• Linnik's theorem on Goldbach numbers in short intervals
• On the difference between consecutive primes

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