The exceptional set for the number of primes in short intervals

DOI10.1006/jnth.1999.2429zbMath0972.11087OpenAlexW2006614382MaRDI QIDQ1969347

Danilo Bazzanella, Alberto Perelli

Publication date: 13 November 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2429

zbMATH Keywords

primesexceptional setasymptotic formulaRiemann hypothesisvon Mangoldt functionshort intervalsdecrease propertyinertia property

Mathematics Subject Classification ID

Distribution of primes (11N05)

Related Items (9)

PRIME NUMBERS IN INTERVALS STARTING AT A FIXED POWER OF THE INTEGERS ⋮ A note on primes between consecutive powers ⋮ Primes between consecutive squares and the Lindelöf hypothesis ⋮ PRIMES AND PRIME IDEALS IN SHORT INTERVALS ⋮ Some conditional results on primes between consecutive squares ⋮ The class of the exceptional sets for a general asymptotic formula ⋮ The exceptional set for the distribution of primes between consecutive powers ⋮ Primes between consecutive powers ⋮ TWO CONDITIONAL RESULTS ABOUT PRIMES IN SHORT INTERVALS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on the differences between consecutive primes
• Große Differenzen zwischen aufeinanderfolgenden Primzahlen. (Great differences between pimes following on each other)
• On the distribution of roots of Riemann zeta and allied functions. I
• Topics in multiplicative number theory
• The number of primes in a short interval.
• The large sieve
• The Differences between Consecutive Primes, II
• Zero Density Estimates for the Riemann Zeta-Function and Dirichlet L -Functions
• Linnik's theorem on Goldbach numbers in short intervals
• Primes in short intervals
• On the difference between consecutive primes

This page was built for publication: The exceptional set for the number of primes in short intervals