most citedMean values of Dirichlet polynomials and applications to linear equations with prime variables

37 citations · 37 across the 2 of their papers we have counts for

collaborators
Showing math.NTShow all

2 papers · 1 filter

math.NT2005

Approximating reals by sums of rationals

Tsz Ho Chan, Angel V. Kumchev

We study how well a real number can be approximated by sums of two or more rational numbers with denominators up to a certain size.

math.NT2004★ 37 cited

Mean values of Dirichlet polynomials and applications to linear equations with prime variables

S. K. K. Choi, A. V. Kumchev

We prove a new mean-value theorem for Dirichlet polynomials with coefficients given by the von Mangoldt function. We then use our theorem to derive new estimates for certain expone…