Algebra

   

Calculation of Nth Partial Sums ���� of Power Series and Its Relationship with the Calculation of Bernoulli Numbers

Authors: Carlos Oscar Rodríguez Leal

In this work, the general formula of the n-th partial sums ��_n of sums of powers of the form 1^n+ 2^n + . . . + m^n is obtained by an algebraic method, and said formula is applied to the obtaining the Bernoulli numbers by a new simple method.

En este trabajo se obtiene la fórmula general de las n-ésimas sumas parciales ��^n de sumas de potencias de la forma 1^n + 2^n + . . . + m^n mediante un método algebraico y dicha fórmula se aplica a la obtención de los números de Bernoulli por un método alternativo recursivo sencillo.

Comments: 2 Pages. In Spanish

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Submission history

[v1] 2023-09-05 02:48:29

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