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arXiv · 1703.02713

On the ergodic Waring--Goldbach problem

Theresa C. Anderson·Brian Cook·Kevin Hughes·Angel Kumchev
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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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Theresa C. Anderson, Brian Cook, Kevin Hughes, Angel Kumchev. 2017-03-08. On the ergodic Waring--Goldbach problem. https://arxiv.org/abs/1703.02713

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