Primes in arithmetic progressions to spaced moduli.III
Roger Baker
TL;DR
This paper extends the Bombieri-Vinogradov theorem to square moduli up to a certain power of x less than 1/2, advancing understanding of primes in arithmetic progressions with spaced moduli.
Contribution
It provides an analog of the Bombieri-Vinogradov theorem for square moduli, which was not previously established for such moduli ranges.
Findings
Proves the Bombieri-Vinogradov type result for square moduli.
Extends the range of moduli for which primes in arithmetic progressions are well-distributed.
Enhances the theoretical framework for primes in special arithmetic progressions.
Abstract
We obtain the analog of the Bombieri-Vinogradov theorem for square moduli up to any power of x less than 1/2.
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Taxonomy
TopicsHistory and Theory of Mathematics · Analytic Number Theory Research · Meromorphic and Entire Functions