The permutation group method for the dilogarithm

Annali della Scuola Normale - Classe di Scienze

Volumn 4, Issue 3, 2005, Pages 389-437

  Rhin, Georges ^a   Viola, Carlo ^b  

^a UNIVERSITÉ DE LORRAINE   (France)

^b UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744908344     PISSN: 0391173X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. F. Beukers, A note on the irrationality of ζ(2) and ζ(3), Bull. London Math. Soc. 11 (1979), 268-272.
2. E. Bombieri, On G-functions, In: "Recent Progress in Analytic Number Theory", H. Halberstam and C. Hooley (eds.), Durham, 1979, Academic Press, London-New York, 1981, vol. 2, 1-67.
3. M. Hata, Rational approximations to the dilogarithm, Trans. Amer. Math. Soc. 336 (1993), 363-387.
4. G. Rhin and C. Viola, On a permutation group related to ζ(2), Acta Arith. 77 (1996), 23-56.
5. G. Rhin and C. Viola, The group structure for ζ(3), Acta Arith. 97 (2001), 269-293.
6. C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss., 1929, n. 1; Gesammelte Abhandlungen, Band I, Springer-Verlag, Berlin-Heidelberg, 1966, 209-266.
7. C. Viola, On Siegel's method in diophantine approximation to transcendental numbers, Rend. Sem. Mat. Univ. Pol. Torino 53 (1995), 455-469.