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

DOI10.7169/facm/2014.51.2.9zbMath1357.11087arXiv1212.5704OpenAlexW1998775663MaRDI QIDQ481400

Alessandro Zaccagnini, Alessandro Languasco

Publication date: 12 December 2014

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5704

zbMATH Keywords

primes in short intervalsexponential sum over primespair-correlation conjecture

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Sums over primes (11L20) Distribution of primes (11N05)

Uses Software

• DLMF

Cites Work

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• Explicit relations between pair correlation of zeros and primes in short intervals
• A note on primes and Goldbach numbers in short intervals
• Pair correlation of zeros, primes in short intervals and exponential sums over primes
• Topics in multiplicative number theory
• The Fourth Power Moment of the Riemann Zeta Function
• MORE PRECISE PAIR CORRELATION OF ZEROS AND PRIMES IN SHORT INTERVALS

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