Primes in explicit short intervals on RH
Adrian Dudek, Lo\"ic Greni\'e, Giuseppe Molteni
TL;DR
Assuming the Riemann hypothesis, this paper provides explicit upper bounds on the gaps between consecutive primes within short intervals, advancing understanding of prime distribution.
Contribution
It offers new explicit bounds on prime gaps under RH, improving previous estimates and contributing to prime number theory.
Findings
Explicit bounds on prime gaps under RH
Enhanced understanding of prime distribution in short intervals
Improved estimates compared to prior work
Abstract
On the assumption of the Riemann hypothesis, we give explicit upper bounds on the difference between consecutive prime numbers.
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