Is Catalan’s Constant Rational?

Autor: Robert Reynolds, Allan Stauffer
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 22, p 4251 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10224251
Popis: This paper employs a contour integral method to derive and evaluate the infinite sum of the Euler polynomial expressed in terms of the Hurwitz Zeta function. We provide formulae for several classes of infinite sums of the Euler polynomial in terms of the Riemann Zeta function and fundamental mathematical constants, including Catalan’s constant. This representation of Catalan’s constant suggests it could be rational.
Databáze: Directory of Open Access Journals
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