A Survey on Waring’s Problem and Some Related Topics

ZHAO Li-lu

doi:10.13371/j.cnki.chin.q.j.m.2025.04.005

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 4: 393 - 400

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.04.005

A Survey on Waring’s Problem and Some Related Topics

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School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

ZHAO Li-lu (1984-), male, native of Hefei, Anhui, professor of University of Science and Technology of China, engages in number theory.

Received date: 2025-07-23

Online published: 2025-12-30

Supported by

Supported by the NKRDPC (Grant No. 2021YFA1000701).

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Abstract

The aim of this survey is to introduce Waring’s problem and some related topics including mean value theorems and Diophantine equations in prime variables.

Key words： Waring’s problem; Asymptotic formula; Primes

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ZHAO Li-lu . A Survey on Waring’s Problem and Some Related Topics[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(4) : 393 -400 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.005

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