Let H = Nθ, θ > 2/3 and k ≥ 1. We obtain estimates for the following exponential sum over primes in short intervals: 'Equation Presented' where g is a polynomial of degree k. As a consequence of this in the special case g(n) = αnk, we deduce a short interval version of the Waring-Goldbach problem.
|Number of pages||26|
|Journal||International Mathematics Research Notices|
|State||Published - Aug 1 2021|
Bibliographical noteFunding Information:
This work was supported by the Academy of Finland [285894 to K.M.] and National Science Foundation [DMS-1802224 to X.S.].
© 2019 The Author(s).
ASJC Scopus subject areas
- Mathematics (all)