Download PDF - Denser Egyptian fractionsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Denser Egyptian fractions

Authors 1

Affiliations

  1. Department of Mathematics, University of Toronto, Canada M5S 3G3

Bibliography

  1. A. Balog and C. Pomerance, The distribution of smooth numbers in arithmetic progressions, Proc. Amer. Math. Soc. 115 (1992), 33-43.
  2. E. S. Croot III, On unit fractions with denominators from short intervals, Acta Arith., to appear.
  3. E. S. Croot III, On some questions of Erdős and Graham about Egyptian fractions, Mathematika, to appear.
  4. P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Monograph. Enseign. Math. 28, Univ. Genève, Geneva, 1980.
  5. R. K. Guy, Unsolved Problems in Number Theory, 2nd ed., Springer, New York, 1994.
  6. A. Hildebrand and G. Tenenbaum, Integers without large prime factors, J. Théor. Nombres Bordeaux 5 (1993), 411-484.
  7. C. Hooley, Applications of Sieve Methods to the Theory of Numbers, Cambridge Tracts in Math. 70, Cambridge Univ. Press, Cambridge, 1976.
  8. G. Martin, Dense Egyptian fractions, Trans. Amer. Math. Soc. 351 (1999), 3641-3657.
  9. R. C. Vaughan, The Hardy-Littlewood Method, 2nd ed., Cambridge Univ. Press, Cambridge, 1997.
  10. H. Yokota, On a problem of Erdős and Graham, J. Number Theory 39 (1991), 327-338.
Acta Arithmetica
2000/95/3
Export to PBN, Opens in new tab
Pages:
231-260
Main language of publication
English
Received
1999-12-13
Accepted
2000-03-27
Published
2000
Exact and natural sciences