Perfect powers in products of integers from a block of consecutive integers (II)

• Autorzy: T. N. Shorey , Yu. V. Nesterenko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 76
• Numer: 2
• Strony: 191-198

Daty

wydano

1996

otrzymano

1995-06-30

poprawiono

1995-12-29

Twórcy

autor

T. N. Shorey

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005, India

autor

Yu. V. Nesterenko

• Department of Mathematics, University of Moscow, Moscow 119899, Russia

Bibliografia

• [1] A. Baker, Rational approximations to ∛2 and other algebraic numbers, Quart. J. Math. Oxford Ser. (2) 15 (1964), 375-383.
• [2] A. Baker, Simultaneous rational approximations to certain algebraic numbers, Proc. Cambridge Philos. Soc. 63 (1967), 693-702.
• [3] A. Baker, The theory of linear forms in logarithms, in: Transcendence Theory: Advances and Applications, Academic Press, 1977, 1-27.
• [4] P. Erdős, On the product of consecutive integers III, Indag. Math. 17 (1955), 85-90.
• [5] P. Erdős and J. L. Selfridge, The product of consecutive integers is never a power, Illinois J. Math. 19 (1975), 292-301.
• [6] J. H. Loxton, M. Mignotte, A. J. van der Poorten and M. Waldschmidt, A lower bound for linear forms in the logarithms of algebraic numbers, C. R. Math. Rep. Acad. Sci. Canada 11 (1987), 119-124.
• [7] T. N. Shorey, Perfect powers in values of certain polynomials at integer points, Math. Proc. Cambridge Philos. Soc. 99 (1986), 195-207.
• [8] T. N. Shorey, Perfect powers in products of integers from a block of consecutive integers, Acta Arith. 49 (1987), 71-79.