Estimate of sums of Dirichlet series

Lou Shituo (1) , Yao Qi (1)

1 Dalhousie University [Halifax]

This paper discusses the problem of primes in short intervals using certain analytical considerations involving mean value estimates for products of Dirichlet polynomials and series.

Mots clés: gaps between consecutive primes; set of complementary partial sums

Domaines: Mathématiques [math]

Lou Shituo, Yao Qi. Estimate of sums of Dirichlet series. Hardy-Ramanujan Journal, 1994, Volume 17 - 1994, pp.1 - 31. ⟨10.46298/hrj.1994.128⟩. ⟨hal-01108730⟩