On the ergodic Waring--Goldbach problem
Classical Analysis and ODEs
2019-08-09 v2 Number Theory
Abstract
We prove an asymptotic formula for the Fourier transform of the arithmetic surface measure associated to the Waring--Goldbach problem and provide several applications, including bounds for discrete spherical maximal functions along the primes and distribution results such as ergodic theorems.
Cite
@article{arxiv.1703.02713,
title = {On the ergodic Waring--Goldbach problem},
author = {Theresa C. Anderson and Brian Cook and Kevin Hughes and Angel Kumchev},
journal= {arXiv preprint arXiv:1703.02713},
year = {2019}
}
Comments
We elaborated on our introduction and cleaned up some typos