F. Lima

activity

20052019

most citedAn accurate formula for the period of a simple pendulum oscillating beyond the small-angle regime

79 citations · 125 across the 14 of their papers we have counts for

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2 papers · 1 filter

math.HO2011★ 2 cited

Another elementary proof of $\sum_{n \geq 1} 1/ n^{2} = π^{2} /6$ and a recurrence formula for $ζ (2 k)$

F. M. S. Lima

In this shortnote, a series expansion technique introduced recently by Dancs and He for generating Euler-type formulae for odd zeta values $ζ (2 k + 1)$ , $ζ (s)$ being the Riema…

math.HO2009

A shortcut for evaluating some log integrals from products and limits

F. M. S. Lima

In this short paper, I introduce an elementary method for exactly evaluating the definite integrals $\int_{0}^{π} ln (sin θ) d θ$ , $\int_{0}^{π /2} ln (sin θ) d θ$ , $\int_0^{π/2}…

Another elementary proof of ∑n≥1​1/n2=π2/6 and a recurrence formula for ζ(2k)

A shortcut for evaluating some log integrals from products and limits

Another elementary proof of $\sum_{n \geq 1} 1/ n^{2} = π^{2} /6$ and a recurrence formula for $ζ (2 k)$