Congruences related to Eulerian and Euler numbers
Claire Levaillant
TL;DR
This paper explores mathematical congruences involving Eulerian and Euler numbers, connecting them with harmonic, tangent, and Genocchi numbers to deepen understanding of their relationships.
Contribution
It introduces new congruences linking Eulerian and Euler numbers with harmonic, tangent, and Genocchi numbers, expanding existing mathematical frameworks.
Findings
Established congruences involving harmonic numbers and Eulerian numbers
Connected tangent and Genocchi numbers through new congruences
Enhanced understanding of number theoretic properties of Euler-related sequences
Abstract
Using Eulerian and Euler numbers, we establish congruences concerning sums involving harmonic numbers, tangent numbers and Genocchi numbers.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research