A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers
Combinatorics
2025-07-24 v1
Abstract
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.
Cite
@article{arxiv.2507.16825,
title = {A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers},
author = {Wei-Wei Qi},
journal= {arXiv preprint arXiv:2507.16825},
year = {2025}
}