We give qualitative and quantitative improvements on all the best previously 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 dilogarithm.

The permutation group method for the dilogarithm

VIOLA, CARLO
2005-01-01

Abstract

We give qualitative and quantitative improvements on all the best previously 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 dilogarithm.
2005
Rhin, G.; Viola, Carlo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/92692
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