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June 2019 A Cesàro average of generalised Hardy-Littlewood numbers
Alessandro Languasco, Alessandro Zaccagnini
Kodai Math. J. 42(2): 358-375 (June 2019). DOI: 10.2996/kmj/1562032834

Abstract

We continue our recent work on additive problems with prime summands: we already studied the average number of representations of an integer as a sum of two primes, and also considered individual integers. Furthermore, we dealt with representations of integers as sums of powers of prime numbers. In this paper, we study a Cesàro weighted partial explicit formula for generalised Hardy-Littlewood numbers (integers that can be written as a sum of a prime power and a square) thus extending and improving our earlier results.

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Alessandro Languasco. Alessandro Zaccagnini. "A Cesàro average of generalised Hardy-Littlewood numbers." Kodai Math. J. 42 (2) 358 - 375, June 2019. https://doi.org/10.2996/kmj/1562032834

Information

Published: June 2019
First available in Project Euclid: 2 July 2019

zbMATH: 07108016
MathSciNet: MR3981309
Digital Object Identifier: 10.2996/kmj/1562032834

Rights: Copyright © 2019 Tokyo Institute of Technology, Department of Mathematics

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Vol.42 • No. 2 • June 2019
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