Raghavendra N. Bhat, Anji Dong, Alexandru Zaharescu: Ternary Goldbach for modular sets of Piatetski-Shapiro primes, 253-280

Abstract:

The goal of this paper is to show that any admissible modular subset of any Piatetski-Shapiro set of primes with $c\in (1,73/64)$ solves the Ternary Goldbach.

Key Words: Ternary Goldbach, modular sets of primes, primes in arithmetic progressions, Hardy-Littlewood circle method, Piatetski-Shapiro primes.

2020 Mathematics Subject Classification: Primary 11P32; Secondary 11P55, 11L07, 11L20.

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