Mathematics – Number Theory
Scientist
Mathematics
Number Theory
Scientist
Institute of Physics, University of Brasília and International Center of Condensed Matter Physics, PO Box 04455, 70919-970, Brasília-DF, Brazil
Instituto de Física, Universidade de Brasília, PO Box 04455, 70919-970, Brasília-DF, Brazil
A shortcut for evaluating some definite integrals from products and limits
A shortened recurrence relation for the Bernoulli numbers
A simple approximate expression for the Apéry's constant accurate to 21 digits
An accurate formula for the period of a simple pendulum oscillating beyond the small-angle regime
An elementary proof of $\,\sum_{n \ge 1}{1/n^2} = π^2/6\,$ and a recurrence formula for even zeta values
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