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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Showing 2013Show all

2 papers · 1 filter

math.NT2013★ 1 cited

Some transcendence results from a harmless irrationality theorem

F. M. S. Lima

The arithmetic nature of values of some functions of a single variable, particularly, $sin z$ , $cos z$ , $sinh z$ , $cosh z$ , $e^{z}$ , and $ln z$ , is a relevant topic in numb…

math.NT2013

Beukers-like proofs of irrationality for $ζ (2)$ and $ζ (3)$

F. M. S. Lima

In this note, I develop step-by-step proofs of irrationality for $ζ (2)$ and $ζ (3)$ . Though the proofs follow closely those based upon unit-square integrals proposed origi…

Some transcendence results from a harmless irrationality theorem

Beukers-like proofs of irrationality for ζ(2) and ζ(3)

Beukers-like proofs of irrationality for $ζ (2)$ and $ζ (3)$