Explicit formulae for primes in arithmetic progressions, II

2013/09/23 by Tomohiro Yamada, Yamada, Tomohiro
Mathematics · #11N13 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1309.5798

openalex publication_date 2013/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We shall give an explicit version of Bombieri-Vinogradov Theorem for moduli not divisible by an exceptional modulus.

Citations

• Approximate formulas for some functions of prime numbers
• Explicit formulae for primes in arithmetic progressions, I

Related

• Primes in arithmetic progressions to spaced moduli.III
• Medium-sized values for the Prime Number Theorem for primes in arithmetic progression
• A theorem of Bombieri-Vinogradov type with few exceptional moduli
• Primes in arithmetic progressions to large moduli III: Uniform residue classes
• A Bombieri-Vinogradov-type theorem with prime power moduli