The ternary Goldbach problem with primes from arithmetic progressions
Doychin Tolev
TL;DR
This paper extends the understanding of the ternary Goldbach problem by establishing a Bombieri-Vinogradov type result for solutions involving primes in arithmetic progressions, advancing analytic number theory techniques.
Contribution
It introduces a new Bombieri-Vinogradov type theorem specifically for primes in arithmetic progressions within the ternary Goldbach problem.
Findings
Proves a Bombieri-Vinogradov type estimate for primes in arithmetic progressions
Provides new bounds on the number of solutions to the ternary Goldbach problem
Enhances analytic methods for primes in arithmetic progressions
Abstract
We establish Bombieri-Vinogradov's type result for the number of solutions of the ternary Goldbach problem with primes from arithmetic progressions.
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Taxonomy
TopicsAnalytic Number Theory Research · Finite Group Theory Research · Limits and Structures in Graph Theory