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arXiv · 2507.16825

A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers

Wei-Wei Qi
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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.

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Wei-Wei Qi. 2025-07-05. A q-Supercongruence Motivated by Higher-Order Generalized Lehmer-Euler Numbers. https://arxiv.org/abs/2507.16825

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