Hua’s theorem on five squares of primes

导出

摘要 We give an alternative proof of Hua’s theorem that each large N≡5(mod 24)can be written as a sum of five squares of primes.The proof depends on an estimate of exponential sums involving the Mobius function.

作者 Wenjia ZHAO

机构地区不详

出处《Frontiers of Mathematics in China》 SCIE CSCD 2020年第4期835-850,共16页 中国高等学校学术文摘·数学（英文）

关键词 Exponential sums Hua's theorem Mobius function

分类号 O15 [理学—基础数学]

引文网络
相关文献

参考文献1

1REN Xiumin.On exponential sums over primes and application in Waring-Goldbach problem[J].Science China Mathematics,2005,48(6):785-797. 被引量：11

二级参考文献1

1JianYaLIU,TaoZHAN.The Exceptional Set in Hua's Theorem for Three Squares of Primes[J].Acta Mathematica Sinica,English Series,2005,21(2):335-350. 被引量：6

共引文献10

1LIU Jianya, Lu Guangshi & ZHAN Tao Department of Mathematics, Shandong University, Jinan 250100, China.Exponential sums over primes in short intervals[J].Science China Mathematics,2006,49(5):611-619. 被引量：5
2Guang Shi L.Hua's Theorem on Five Almost Equal Prime Squares[J].Acta Mathematica Sinica,English Series,2006,22(3):907-916. 被引量：1
3任秀敏,曾启文.混合方次的Waring-Goldbach问题(Ⅱ)[J].数学学报（中文版）,2007,50(1):175-182.
4刘建亚,展涛.二次Waring-Goldbach问题[J].山东大学学报（理学版）,2007,42(2):1-18. 被引量：1
5Li Lu ZHAO.The Exceptional Set for Sums of Unlike Powers of Primes[J].Acta Mathematica Sinica,English Series,2014,30(11):1897-1904.
6Claus BAUER.Large sieve inequality with sparse sets of moduli applied to Goldbach conjecture[J].Frontiers of Mathematics in China,2017,12(2):261-280.
7聂立忠,邢涛,聂坤.哥德巴赫猜想之大偶数内的奇素数个数概率[J].电子制作,2014,22(7X):152-152.
8李伟平,戈文旭,王天泽.幂次为2和3的素变数方程的小素数解[J].中国科学：数学,2019,49(9):1183-1200.
9Rui ZHANG.Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes[J].Frontiers of Mathematics in China,2019,14(5):1017-1035.
10Zhenzhen FENG,Zhixin LIU.Exceptional sets in Waring-Goldbach problem for fifth powers[J].Frontiers of Mathematics in China,2021,16(1):49-58.

1Kibrom G.EBREMESKEL,Lin Zhe HUANG.Boundedness and Spectrum of Multiplicative Convolution Operators Induced by Arithmetic Functions[J].Acta Mathematica Sinica,English Series,2019,35(8):1300-1310.
2Xingxing LV,Xiaoxue LI.On the Hybrid Power Mean Involving the Two-Term Exponential Sums and Polynomial Character Sums[J].Chinese Annals of Mathematics,Series B,2020,41(4):547-558.
3黄兵(文/图).桌面机甲--体验乔思伯MOD5机箱[J].微型计算机,2020(24):52-55.
4Kang WU,Jinya SU,Changyin SUN.Output feedback control for mobile robot systems with significant external disturbances[J].Science China(Information Sciences),2020,63(9):256-258.
5Xianjie GAO,Chao ZHANG,Hongwei ZHANG.A Refined Non-Asymptotic Tail Bound of Sub-Gaussian Matrix[J].Journal of Mathematical Research with Applications,2020,40(5):543-550.
6谢德文,黎锡波,韦励,钟树林,吴伟权.卵巢早衰患者卵泡成熟与自身免疫机制、卵巢血流参数关系[J].中国计划生育学杂志,2020,28(8):1194-1196. 被引量：18

Frontiers of Mathematics in China

2020年第4期

浏览历史

内容加载中请稍等...

Hua’s theorem on five squares of primes

参考文献1

二级参考文献1

共引文献10

相关作者

相关机构

相关主题

浏览历史