Methodus succincta summas serierum infinitarum per formulas differentiales investigandi

TL;DR

This paper explores formal series involving Bernoulli numbers and the Riemann zeta function, providing generating functions and translating Latin original work into German.

Contribution

It introduces generating functions for Bernoulli numbers and investigates series related to the Riemann zeta function, expanding mathematical tools for series analysis.

Findings

Derived generating functions for Bernoulli numbers

Connected Bernoulli numbers with the Riemann zeta function

Translated original Latin work into German

Abstract

This paper has more formal series with Bernoulli numbers and the Riemann zeta function. He gives the generating function for the Bernoulli numbers. The paper is translated from the Latin original into German.