On the order function of a transcendental number
K. Mahler (1971)
Acta Arithmetica
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K. Mahler (1971)
Acta Arithmetica
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P. Erdös, András Sárközy, E. Szemerédi (1966)
Acta Arithmetica
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A. Baker (1972)
Acta Arithmetica
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E. Bombieri, A. J. Van der Poorten, J. D. Vaaler (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Georges Rhin, Carlo Viola (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
B. Brindza (1987)
Acta Arithmetica
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J. Coates (1969)
Acta Arithmetica
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Michel Waldschmidt (1980)
Acta Arithmetica
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