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

collaborators

Showing 2011 · math.NTShow all

3 papers · 2 filters

math.NT2011

On Weyl sums over primes in short intervals

Angel V. Kumchev

The main results extend to sums over primes in a short interval earlier estimates by the author for "long" Weyl sums over primes.

math.NT2011

Sums of almost equal squares of primes

Angel Kumchev, Taiyu Li

We study the representations of large integers $n$ as sums $p_{1}^{2} + ... + p_{s}^{2}$ , where $p_{1}, ..., p_{s}$ are primes with $∣ p_{i} - (n / s)^{1/2} ∣ \leq n^{θ /2}$ , for some fixed $θ < 1$ . W…

math.NT2011

On the convergence of some alternating series

Angel V. Kumchev

We study the convergence sets of a class of alternating series. Among other things, our results establish the convergence of the series $\sum_{n} (- 1)^{n} ∣ sin n ∣/ n$ .