Corpus ID: 116491493

# The permutation group method for the dilogarithm

@article{Rhin2005ThePG,
title={The permutation group method for the dilogarithm},
author={Georges Rhin and Carlo Viola},
journal={Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze},
year={2005},
volume={4},
pages={389-437}
}
• Published 2005
• Mathematics
• Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze
We give qualitative and quantitative improvements on all the best pre- viously known irrationality results for dilogarithms of positive rational numbers. We obtain such improvements by applying our permutation group method to the diophantine study of double integrals of rational functions related to the diloga- rithm.
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