Jean-Christophe Pain
Published 2023-04-06Version 1
In this work, we propose a double-series representation of the difference between two dilogarithms with specific arguments. The summation is derived combining a formula we recently found for the so-called Grotendieck-Krivine constant, and an identity obtained by Lima for the difference of two dilogarithms with arguments $\sqrt{2}-1$ and $1-\sqrt{2}$ respectively. We also give an integral representation of the difference considered by Lima, on the basis of a formula published by Brychkov.
Integral representation and critical $L$-values for holomorphic forms on $GSp_{2n} \times GL_1$
On the difference of primes
An Integral representation of $\mathop{\mathcal R}(s)$ due to Gabcke
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