华林问题及其部分相关问题的综述

赵立璐

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

数学季刊 >

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

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

华林问题及其部分相关问题的综述

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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.

收稿日期: 2025-07-23

网络出版日期: 2025-12-30

基金资助

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

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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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摘要

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.

关键词： Waring’s problem; Asymptotic formula; Primes

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赵立璐 . 华林问题及其部分相关问题的综述[J]. 数学季刊, 2025 , 40(4) : 393 -400 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.005

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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