Counting the Unit Solutions of Certain Quartic Diagonal Congruence Modulo <i>n</i>
Given a positive integer [see formula in PDF] and the residue class ring [see formula in PDF], we set [see formula in PDF] to be the group of units in[see formula in PDF], i.e., [see formula in PDF]. Let [see formula in PDF] be the number of solutions of[see formula in PDF] with [see formula in PDF]. In this note, we determine an explicit expression of [see formula in PDF]. This extends the results of Sun and Yang in 2014.
Authors
- Qiuyu Yin
- Shuangnian HU
- Junyong Zhao (ORCID: https://orcid.org/0000-0003-3574-5769)
Institutions
- Chongqing University of Posts and Telecommunications (CN)
- Nanyang Institute of Technology (CN)
Publication Details
- Journal
- Wuhan University Journal of Natural Sciences
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1051/wujns/2024295391
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Henan Province