Prime Avoidance Property of $k$-th Powers of Piatetski-Shapiro Primes
Helmut Maier, Michael Th. Rassias
TL;DR
This paper investigates the prime avoidance property of $k$-th powers of Piatetski-Shapiro primes, extending previous results on primes and Beatty sequences to this special class of primes.
Contribution
The paper introduces the prime avoidance property for $k$-th powers of Piatetski-Shapiro primes, expanding the understanding of prime distribution in special sequences.
Findings
Established prime avoidance property for $k$-th powers of Piatetski-Shapiro primes
Extended previous results from primes and Beatty sequences to Piatetski-Shapiro primes
Contributed to the theory of prime distribution in special sequences
Abstract
In previous papers the authors established the prime avoidance property of -th powers of prime numbers and of prime numbers within Beatty sequences. In this paper the authors consider -th powers of Piatetski-Shapiro primes.
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Taxonomy
TopicsAnalytic Number Theory Research · Coding theory and cryptography · Advanced Mathematical Identities