This analysis defines a new polynomial linked to higher-order Lehmer-Euler numbers, suggesting potential for new mathematical insights.
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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Weiwei Qi (2025) studied this question.
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