Primes in explicit short intervals on RH

Abstract

On the assumption of the Riemann hypothesis, we give explicit upper bounds on the difference between consecutive prime numbers.

Corrected Corollary 4.1. Minor changes to the bibliography. To appear in Int. J. Number Theory

References in corpus (1)

• Explicit smoothed prime ideals theorems under GRH

Cited by in corpus (5)

• Fourier optimization and prime gaps
• Primes and prime ideals in short intervals
• Explicit Interval Estimates for Prime Numbers
• Explicit Short Intervals for Primes in Arithmetic Progressions on GRH
• Integer factorization and Riemann's hypothesis: Why two-item joint replenishment is hard