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math.NT2010
Some transcendental functions with an empty exceptional set
D. Marques, F. M. S. Lima
A transcendental function usually returns transcendental values at algebraic points. The (algebraic) exceptions form the so-called \emph{exceptional set}, as for instance the unita…
math.CA2010★ 4 cited
New definite integrals and a two-term dilogarithm identity
F. M. S. Lima
Among the several proofs known for , the one by Beukers, Calabi, and Kolk involves the evaluation of $\,\int_0^1 {\int_0^1{1/(1-x^2 y^2) \, dx}…