C. Nevans

most citedRepresentations of integers as sums of primes from a Beatty sequence

8 citations · 9 across the 3 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2008★ 1 cited

On primitive Dirichlet characters and the Riemann hypothesis

William D. Banks, Ahmet M. Guloglu, C. Wesley Nevans

For any natural number $n$ , let $X_{n}^{'}$ be the set of primitive Dirichlet characters modulo $n$ . We show that if the Riemann hypothesis is true, then the inequality $|X'_{2n_k}|\le…

math.NT2008

Sums with multiplicative functions over a Beatty sequence

Ahmet M. Guloglu, C. Wesley Nevans

We study sums with multiplicative functions that take values over a non-homogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas su…

math.NT2007★ 8 cited

Representations of integers as sums of primes from a Beatty sequence

William D. Banks, Ahmet M. Guloglu, C. Wesley Nevans

We study the problem of representing integers as sums of prime numbers from a fixed Beatty sequence $B_{α, β}$ , where $α > 1$ is irrational and of finite type.