Partitions into two Lehmer numbers in ℤ<i>q</i>
Abstract Let ℤ q be a complete residue system modulo an odd integer q ≥ 3. The main purpose of this paper is to give an asymptotic formula for the number of representations of an element n ∈ ℤ q as sum of two classical Lehmer numbers in ℤ q . In addition, we make explicit the known expression for the number of the classical Lehmer numbers.
Authors
- Zhefeng Xu (ORCID: https://orcid.org/0000-0002-5647-4948)
- Jiankang Wang (ORCID: https://orcid.org/0009-0005-5651-999X)
Institutions
- Northwest University (CN)
Publication Details
- Journal
- Mathematica Slovaca
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1515/ms-2025-0004
- Citations
- 1
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 5.38