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Symmetry
Volume 16
Issue 8
10.3390/sym16080945
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Article

Goldbach–Linnik–Type Problem of Symmetric Mixed Powers of Primes and Powers of Two

by
Fei Xue
1,*,
Jinjiang Li
1,
Min Zhang
2 and
Juanjuan Wu
2
1
Department of Mathematics, China University of Mining and Technology, Beijing 100083, China
2
School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
*
Author to whom correspondence should be addressed.
Symmetry 2024, 16(8), 945; https://doi.org/10.3390/sym16080945
Submission received: 2 June 2024 / Revised: 17 July 2024 / Accepted: 18 July 2024 / Published: 24 July 2024
(This article belongs to the Section B: Mathematics)
Versions Notes

Abstract

This article demonstrates that every sufficiently large odd integer can be expressed as the sum of one square of a prime, six cubes of primes, and 23 powers of two. This finding represents an improvement on the previous results of Sinnadurai in 1965 and Hooley in 1981.
Keywords: Waring–Goldbach problem; Hardy–Littlewood method; powers of 2 Waring–Goldbach problem; Hardy–Littlewood method; powers of 2

Share and Cite

MDPI and ACS Style

Xue, F.; Li, J.; Zhang, M.; Wu, J. Goldbach–Linnik–Type Problem of Symmetric Mixed Powers of Primes and Powers of Two. Symmetry 2024, 16, 945. https://doi.org/10.3390/sym16080945

AMA Style

Xue F, Li J, Zhang M, Wu J. Goldbach–Linnik–Type Problem of Symmetric Mixed Powers of Primes and Powers of Two. Symmetry. 2024; 16(8):945. https://doi.org/10.3390/sym16080945

Chicago/Turabian Style

Xue, Fei, Jinjiang Li, Min Zhang, and Juanjuan Wu. 2024. "Goldbach–Linnik–Type Problem of Symmetric Mixed Powers of Primes and Powers of Two" Symmetry 16, no. 8: 945. https://doi.org/10.3390/sym16080945

APA Style

Xue, F., Li, J., Zhang, M., & Wu, J. (2024). Goldbach–Linnik–Type Problem of Symmetric Mixed Powers of Primes and Powers of Two. Symmetry, 16(8), 945. https://doi.org/10.3390/sym16080945

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