June 2022 Two results on Goldbach–Linnik problems for cubes of primes
Yuhui Liu
Rocky Mountain J. Math. 52(3): 999-1007 (June 2022). DOI: 10.1216/rmj.2022.52.999

Abstract

It is proved that every pair of sufficiently large even integers can be represented in the form of a pair of equations of eight prime cubes and 609 powers of 2, and each sufficiently large even integer is the sum of eight cubes of primes and 157 powers of 2. These results constitute refinements upon those of Z. X. Liu (2013) and of X. D. Zhao and W. X. Ge (2020).

Citation

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Yuhui Liu. "Two results on Goldbach–Linnik problems for cubes of primes." Rocky Mountain J. Math. 52 (3) 999 - 1007, June 2022. https://doi.org/10.1216/rmj.2022.52.999

Information

Received: 22 July 2021; Revised: 15 September 2021; Accepted: 16 September 2021; Published: June 2022
First available in Project Euclid: 16 June 2022

MathSciNet: MR4441108
zbMATH: 1495.11118
Digital Object Identifier: 10.1216/rmj.2022.52.999

Subjects:
Primary: 11P32
Secondary: 11P55

Keywords: additive number theory , Hardy–Littlewood method , Waring–Goldbach problem

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 3 • June 2022
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