A simple computation of Z(2k)
Resumen: We present a new simple proof of Euler’s formulas for Z(2k), where k= 1,2,3,.... The computation is done using only the defining properties of the Bernoulli polynomials and summing a telescoping series, and the same method also yields integral formulas for Z(2k+ 1).
Idioma: Inglés
DOI: 10.4169/amer.math.monthly.122.5.444
Año: 2015
Publicado en: American Mathematical Monthly 122, 5 (2015), 444-451
ISSN: 0002-9890

Factor impacto JCR: 0.349 (2015)
Categ. JCR: MATHEMATICS rank: 273 / 312 = 0.875 (2015) - Q4 - T3
Factor impacto SCIMAGO: 0.408 - Mathematics (miscellaneous) (Q3)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-36732-C03-02
Tipo y forma: Article (PostPrint)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)

Rights Reserved All rights reserved by journal editor

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