24 citations · 91 across the 21 of their papers we have counts for
Showing 2015 · math.NTShow all
3 papers · 2 filters
math.NT2015★ 8 cited
On the Waring--Goldbach problem for eighth and higher powers
Angel V. Kumchev, Trevor D. Wooley
Recent progress on Vinogradov's mean value theorem has resulted in improved estimates for exponential sums of Weyl type. We apply these new estimates to obtain sharper bounds for t…
math.NT2015★ 24 cited
Additive representation in short intervals, II: sums of two like powers
Joerg Bruedern, Trevor D. Wooley
We establish that, for almost all natural numbers , there is a sum of two positive integral cubes lying in the interval . Here, the exponent lies half w…
math.NT2015★ 6 cited
Sums of four squares of primes
Angel V. Kumchev, Lilu Zhao
Let denote the number of positive integers , with , which cannot be represented as the sum of four squares of primes. We establish that $E(N)\…