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 2016 · math.NTShow all

2 papers · 2 filters

math.NT2016

On sums of powers of almost equal primes

Angel Kumchev, Huafeng Liu

Let $k \geq 2$ and $s$ be positive integers, and let $n$ be a large positive integer subject to certain local conditions. We prove that if $s \geq k^{2} + k + 1$ and $θ > 31/40$ , then $n$ c…

math.NT2016

On the Waring-Goldbach problem for seventh and higher powers

Angel V. Kumchev, Trevor D. Wooley

We apply recent progress on Vinogradov's mean value theorem to improve bounds for the function $H (k)$ in the Waring-Goldbach problem. We obtain new results for all exponents $k \ge…