A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913955072442368 |
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| author | Qi, Wei-Wei |
| author_facet | Qi, Wei-Wei |
| 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, we define a new polynomial related to the higher-order generalized Lehmer-Euler numbers and determine its a q-supercongruence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16825 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers Qi, Wei-Wei 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, we define a new polynomial related to the higher-order generalized Lehmer-Euler numbers and determine its a q-supercongruence. |
| title | A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2507.16825 |