Congruence properties of Lehmer-Euler numbers
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916547843325952 |
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| author | Komatsu, Takao Liu, Guo-Dong |
| author_facet | Komatsu, Takao Liu, Guo-Dong |
| contents | Certain generalization of Euler numbers was defined in 1935 by Lehmer using cubic roots of unity, as a natural generalization of Bernoulli and Euler numbers. In this paper, Lehmer's generalized Euler numbers are studied to give certain congruence properties together with recurrence and explicit formulas of the numbers. We also show a new polynomial sequence and its properties. Some identities including Euler and central factorial numbers are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01178 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Congruence properties of Lehmer-Euler numbers Komatsu, Takao Liu, Guo-Dong Number Theory Combinatorics Certain generalization of Euler numbers was defined in 1935 by Lehmer using cubic roots of unity, as a natural generalization of Bernoulli and Euler numbers. In this paper, Lehmer's generalized Euler numbers are studied to give certain congruence properties together with recurrence and explicit formulas of the numbers. We also show a new polynomial sequence and its properties. Some identities including Euler and central factorial numbers are obtained. |
| title | Congruence properties of Lehmer-Euler numbers |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2501.01178 |