Waring-Goldbach problem for fourth powers in short intervals

doi:10.1007/s11464-013-0329-3

Front Math Chin

2013, Vol. 8

Issue (6) : 1407-1423 https://doi.org/10.1007/s11464-013-0329-3

RESEARCH ARTICLE

Waring-Goldbach problem for fourth powers in short intervals

Hengcai TANG^1,2, Feng ZHAO^1,2(

)

1. School of Mathematics, Henan University, Kaifeng 475004, China; 2. College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

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Abstract

We prove that almost all integers N satisfying some necessary congruence conditions are the sum of almost equal fourth prime powers.

Keywords Circle method exponential sum short interval

Corresponding Author(s): ZHAO Feng,Email:zhaofeng@ncwu.edu.cn

Issue Date: 01 December 2013

Cite this article:

Hengcai TANG,Feng ZHAO. Waring-Goldbach problem for fourth powers in short intervals[J]. Front Math Chin, 2013, 8(6): 1407-1423.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-013-0329-3
https://academic.hep.com.cn/fmc/EN/Y2013/V8/I6/1407

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