Jose Risomar Sousa

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20182026

most citedGeneralized Harmonic Progression

2 citations · 3 across the 11 of their papers we have counts for

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math.NT2021

Lerch's $Φ$ and the Polylogarithm at the Negative Integers

Jose Risomar Sousa

At the negative integers, there is a simple relation between the Lerch $Φ$ function and the polylogarithm. Starting from that relation and a formula for the polylogarithm at the ne…

math.NT2021

The Lerch $Φ$ Analytic Continuation

Jose Risomar Sousa

We demonstrate how to extend formulae for the Lerch transcendent function, $Φ (e^{z}, k, b)$ , and the polylogarithm, $Li_{k} (e^{z})$ , that only hold at the positive integers to…

Lerch's Φ and the Polylogarithm at the Negative Integers

The Lerch Φ Analytic Continuation

Lerch's $Φ$ and the Polylogarithm at the Negative Integers

The Lerch $Φ$ Analytic Continuation