ArticleOriginal scientific text

Title

On perfect powers in products with terms from arithmetic progressions

Authors 1

Affiliations

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

Bibliography

  1. L. E. Dickson, History of the Theory of Numbers, Vol. II, Chelsea, New York, 1952.
  2. P. Erdős, On a Diophantine equation, J. London Math. Soc. 26 (1951), 176-178.
  3. P. Erdős and J. L. Selfridge, The product of consecutive integers is never a power, Illinois J. Math. 19 (1975), 292-301.
  4. D. H. Lehmer, List of prime numbers from 1 to 10006721, Carnegie Institution of Washington, Publication No. 165, 1914.
  5. D. S. Mitrinović, J. Sandor and B. Cristici, Handbook of Number Theory, Kluwer, 1996.
  6. J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94.
  7. T. N. Shorey and Yu. V. Nesterenko, Perfect powers in products of integers from a block of consecutive integers (II), Acta Arith. 76 (1996), 191-198.
  8. T. N. Shorey and R. Tijdeman, Some methods of Erdős applied to finite arithmetic progressions, in: The Mathematics of Paul Erdős I, R. L. Graham and J. Nešetřil (eds.), Springer, 1997, 251-267.
  9. T. N. Shorey and R. Tijdeman, On the greatest prime factor of an arithmetical progression, in: A Tribute to Paul Erdős, A. Baker, B. Bollobás and A. Hajnal (eds.), Cambridge University Press, 1990, 385-389.
  10. T. N. Shorey and R. Tijdeman, Perfect powers in products of terms in an arithmetical progression, Compositio Math. 75 (1990), 307-344.
Pages:
147-172
Main language of publication
English
Received
1996-10-25
Accepted
1997-03-14
Published
1997
Exact and natural sciences