ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400 005, India
  2. Department of Mathematics, University of Moscow, Moscow 119899, Russia

Bibliography

  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.
Pages:
191-198
Main language of publication
English
Received
1995-06-30
Accepted
1995-12-29
Published
1996
Exact and natural sciences