Gaps between Primes in Beatty Sequences
Roger C. Baker, Liangyi Zhao
TL;DR
This paper investigates the distribution of prime gaps within Beatty sequences, utilizing advanced methods inspired by recent breakthroughs in prime gap research.
Contribution
It introduces novel techniques for analyzing prime gaps specifically in Beatty sequences, building on Maynard's recent methods.
Findings
Identification of new bounds for prime gaps in Beatty sequences
Extension of Maynard's methods to a new class of sequences
Insights into the distribution of primes in non-traditional sequences
Abstract
In this paper, we study the gaps between primes in Beatty sequences following the methods in the recent breakthrough of J. Maynard.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Advanced Mathematical Identities