Arquivo da Categoria: Proof

Problem of the Week #2 [from Walking Randomly blog] – Submission

I’ve just submitted the following solution for the « Integral of the Week #2 The second Integral Of The Week (IOTW) is rather different from the first in that I am going to give you the evaluation. Your task is … Continuar a ler

Publicado em Calculus, Cálculo, Demonstração, Integrais, Matemática, Math, Problem, Problemas, Proof | Etiquetas , , , | Publicar um comentário

Apéry Numbers

  This is a translation of a previous Portuguese post of mine.  Show that for all integers the following identity holds   Solution In order to have a short notation and because these numbers are the Apéry Numbers, let´s denote  … Continuar a ler

Publicado em Demonstração, Matemática, Math, Problem, Proof | Etiquetas , , | Publicar um comentário

A note on a combinatorial identity related to the Apéry’s constant ζ(3)

pdf: included in Caderno (see “caderno” page) Abstract. A purely combinatorial proof of an identity (that can be used to justify one step of the Apéry´s sequences formulas) is established. Equivalent formulas for the Apéry’s double sequences are also presented, … Continuar a ler

Publicado em Caderno, Combinatória, Combinatorics, Demonstração, Matemática, Math, Proof | Etiquetas , , , | Publicar um comentário