A. Kumchev

activity

20042023

most citedAdditive representation in short intervals, II: sums of two like powers

24 citations · 91 across the 21 of their papers we have counts for

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Showing 2007Show all

2 papers · 1 filter

math.NT2007

Sums of primes and squares of primes in short intervals

A. V. Kumchev, J. Y. Liu

Let $H_{2}$ denote the set of even integers $n \neq \equiv 1 (mod 3)$ . We prove that when $H \geq X^{0.33}$ , almost all integers $n \in H_{2}$ , $X < n \leq X + H$ can be r…

math.NT2007★ 1 cited

On sums of primes from Beatty sequences

Angel V Kumchev

Let $k \geq 2$ and $α_{1}, β_{1}, ..., α_{k}, β_{k}$ be reals such that the $α_{i}$ 's are irrational and greater than 1. Suppose further that some ratio $α_{i} / α_{j}$ is irrational. We study the…