Yao-Jie Guo

The Waring-Goldbach problem in short intervals under the Generalized Riemann Hypothesis

Let N be a sufficiently large odd integer. We study the representation of a large integer m N^k as a sum of m almost equal k-th powers of primes, where the common distribution scale is at least N^theta. Assuming the Generalized Riemann Hypothesis (GRH), we prove that for any epsilon>0 one may take theta>1/2, provided t...