Gustavo Figueiredo
Sep 5, 2018 · 1 min read

This series does not converge even in the definition of Cesàro. This “proof” of yours is not a real proof, for in order to do these manipulations you have done, the series must converge and it doesn’t. I suggest you read this Terence Tao article, which will give you the correct definition of these language abuses contained in this “sum”.

https://terrytao.wordpress.com/2010/04/10/the-euler-maclaurin-formula-bernoulli-numbers-the-zeta-function-and-real-variable-analytic-continuation/

    Gustavo Figueiredo

    Written by