On the ergodic Waring--Goldbach problem

Published 8 Mar 2017 in math.CA and math.NT | (1703.02713v2)

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.

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