Juho Salmensuu

activity

20192021

most citedA Density version of Waring's problem

7 citations · 7 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2021

The Goldbach conjecture with summands in arithmetic progressions

Juho Salmensuu

We prove that, for almost all $r \leq N^{1/2} / lo g^{O (1)} N$ , for any given $b_{1} mod r$ with $(b_{1}, r) = 1$ , and for almost all $b_{2} mod r$ with $(b_{2}, r) = 1$ , we have that almos…

math.NT2020★ 7 cited

A Density version of Waring's problem

Juho Salmensuu

In this paper, we study a density version of Waring's problem. We prove that a positive density subset of $k$ th-powers forms an asymptotic additive basis of order $O (k^{2})$ provided…

math.NT2019

On the Waring-Goldbach problem with almost equal summands

Juho Salmensuu

We use transference principle to show that whenever $s$ is suitably large depending on $k \geq 2$ , every sufficiently large natural number $n$ satisfying some congruence conditions…