Posts

GAUSS DIGAMMA THEOREM

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    Today we will prove the famous Gauss digamma theorem, namely The proof is based on Jensen´s famous proof. Click here for the proof .

Infinite series involving sech squared PART II

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In this post we prove the following infinite sum Click here for the proof. We relied in a few previous established results: Proved here Both proved here . And Proved here .

INFINITE SERIES INVOLVING \sech^2(n \pi s)

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In this blog entry we will prove the following three results related to the Jacobi Theta function Click here for the proof. It relies on the Jacobi triple product (proved here ) And special value of Jacobi theta function (proved here )

Infinite sum reciprocal hyperbolic sine squared

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This is a short article to prove the following result To this end we will rely on some previous established results, namely: proved here, and proved here . As a corollary of our goal series we also obtain this nice series Click here  for the proof of our main series.

Infinite series involving hyperbolic cotangent

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In this article we want to prove the following three infinte series: click here for the proof.

Lattice sums

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In this entry we will evaluate symmetric infinite sums of the type To this end we will rely on the previous established result ( proved here ) Click here for the proof.

Summing some Eisenstein series

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In this blog entry we will prove the following three beautifull infinte series Click here for the proof.