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On Waring-Goldbach problem for two squares, three biquadratics, one quintic and one septic
Abstract
In this paper, it is proved that every sufficiently large odd integer n can be represented as n=p12+p22+p34+p44+p54+p65+p77, where p1,…,p7 are prime variables. This result constitutes an enhancement upon a previous result of Andrade [1].
Related
- The Waring-Goldbach problem in short intervals under the Generalized Riemann Hypothesis
- The exceptional set of Goldbach numbers within the set of squares
- Matrix Waring Problem-III
- The asymptotic in Waring's problem over function fields beyond twice the degree
- Intermediate-Range Estimates for Short Weyl Sums and Waring's Problem with Almost Proportional Summands
BibTeX
@misc{long2026waringgoldbach,
title = {{On Waring-Goldbach problem for two squares, three biquadratics, one quintic and one septic}},
author = {Linji Long and Jinjiang Li and Min Zhang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15142},
eprint = {2610.15142},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15142},
}
RIS
TY - UNPB
TI - On Waring-Goldbach problem for two squares, three biquadratics, one quintic and one septic
AU - Linji Long
AU - Jinjiang Li
AU - Min Zhang
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2610.15142
UR - https://arxiv.org/abs/2610.15142
AB - In this paper, it is proved that every sufficiently large odd integer n can be represented as n=p_1^2+p_2^2+p_3^4+p_4^4+p_5^4+p_6^5+p_7^7, where p_1,…,p_7 are prime variables. This result constitutes an enhancement upon a previous result of Andrade [1].
ER -