Goldbach–Linnik–Type Problem of Symmetric Mixed Powers of Primes and Powers of Two-Reference-Cited by-同舟云学术

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

Published:2024-07-24 Issue:8 Volume:16 Page:945
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Xue Fei¹,Li Jinjiang¹^ORCID,Zhang Min²,Wu Juanjuan²

Affiliation:

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

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.

Funder

Beijing Natural Science Foundation

National Natural Science Foundation of China

China Scholarship Council

Fundamental Research Funds for the Central University

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/8/945/pdf

Reference24 articles.

1. The representation of a number as the sum of one square and a number of kth powers;Stanley;Proc. London Math. Soc.,1930

2. Some problems of ‘Partitio Numerorum’ (I): A new solution to Waring’s problem;Hardy;Göttingen Nachrichten,1920

3. Some problems of ‘partitio numerorum’ (VI): Further researches in Waring’s problem;Hardy;Math. Z.,1925

4. Representation of integers as sums of six cubes and one square;Sinnadurai;Quart. J. Math. Oxford Ser.,1965

5. On a new approach to various problems of Waring’s type;Hooley;Recent Progress in Analytic Number Theory,1981

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