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ON SUMS OF TWO PRIME SQUARES, FOUR PRIME CUBES AND POWERS OF TWO

Part of: Additive number theory; partitions

Published online by Cambridge University Press:  08 January 2020

YUHUI LIU Open the ORCID record for YUHUI LIU [Opens in a new window]
YUHUI LIU*
Affiliation:
School of Mathematical Sciences,Tongji University, Shanghai, 200092, PR China email tjliuyuhui@outlook.com
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Abstract

We prove that every sufficiently large even integer can be represented as the sum of two squares of primes, four cubes of primes and 28 powers of two. This improves the result obtained by Liu and Lü [‘Two results on powers of 2 in Waring–Goldbach problem’, J. Number Theory 131(4) (2011), 716–736].

Keywords

Waring–Goldbach problemHardy–Littlewood methodpowers of 2

MSC classification

Primary: 11P32: Goldbach-type theorems; other additive questions involving primes
Secondary: 11P55: Applications of the Hardy-Littlewood method
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 102 , Issue 2 , October 2020 , pp. 207 - 216
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

Project supported by the National Natural Science Foundation of China (Grant No. 11771333).

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