On the Euler Numbers and its Applications
Taekyun Kim
TL;DR
This paper explores the properties of recently defined q-Euler numbers, deriving Kummer-type congruences and presenting new formulas to deepen understanding of their mathematical structure.
Contribution
It introduces novel formulas and congruences related to q-Euler numbers, expanding theoretical knowledge in this area.
Findings
Derived Kummer-type congruences for q-Euler numbers
Presented new formulas related to q-Euler numbers
Enhanced theoretical understanding of q-Euler number properties
Abstract
Recently the new q-Euler numbers are defined. In this paper we derive the the Kummer type congruence related to q-Euler numbers and we introduce some interesting formulae related to these q-Euler numbers.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics