The permutation group method for the dilogarithm
Rhin, Georges1 ; Viola, Carlo2
1 Département de Mathématiques UFR MIM Université de Metz Ile du Saulcy 57045 Metz Cedex 01, France
2 Dipartimento di Matematica Università di Pisa Largo B. Pontecorvo 5 56127 Pisa, Italy
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 3, pp. 389-437.

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.

Classification : 11J82, 33B30, 20B35
Rhin, Georges 1 ; Viola, Carlo 2

1 Département de Mathématiques UFR MIM Université de Metz Ile du Saulcy 57045 Metz Cedex 01, France
2 Dipartimento di Matematica Università di Pisa Largo B. Pontecorvo 5 56127 Pisa, Italy 
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Rhin, Georges; Viola, Carlo. The permutation group method for the dilogarithm. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 3, pp. 389-437. http://archive.numdam.org/item/ASNSP_2005_5_4_3_389_0/

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