December 2020 A note on an average additive problem with prime numbers
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
Funct. Approx. Comment. Math. 63(2): 215-226 (December 2020). DOI: 10.7169/facm/1856

Abstract

We continue our investigations on the average number of representations of a large positive integer as a sum of given powers of prime numbers. The average is taken over a ``short'' interval, whose admissible length depends on whether or not we assume the Riemann Hypothesis.

Citation

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Marco Cantarini. Alessandro Gambini. Alessandro Zaccagnini. "A note on an average additive problem with prime numbers." Funct. Approx. Comment. Math. 63 (2) 215 - 226, December 2020. https://doi.org/10.7169/facm/1856

Information

Published: December 2020
First available in Project Euclid: 8 May 2020

MathSciNet: MR4184273
Digital Object Identifier: 10.7169/facm/1856

Subjects:
Primary: 11P32
Secondary: 11P05 , 11P55

Keywords: Hardy-Littlewood method , Waring-Goldbach problem

Rights: Copyright © 2020 Adam Mickiewicz University

Vol.63 • No. 2 • December 2020
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