ArticleOriginal scientific text

Title

The distribution of squarefull numbers in short intervals

Authors 1, 2

Affiliations

  1. Mathematics Department, University of South Carolina, Columbia, South Carolina 29208, U.S.A.
  2. Center of Mathematics and Mechanics, Bulgarian Academy of Sciences, P.O. Box 373, 1090 Sofia, Bulgaria

Bibliography

  1. P. T. Bateman and E. Grosswald, On a theorem of Erdős and Szekeres, Illinois J. Math. 2 (1958), 88-98.
  2. M. Filaseta and O. Trifonov, On gaps between squarefree numbers, in: Analytic Number Theory, Proceedings of a Conference in Honor of Paul T. Bateman, Progr. Math. 85, B. Berndt et al. (eds.), Birkhäuser, Boston, 1990, 235-253.
  3. M. Filaseta and O. Trifonov, On gaps between squarefree numbers II, J. London Math. Soc. (2) 45 (1992), 215-221.
  4. D. R. Heath-Brown, Square-full numbers in short intervals, Math. Proc. Cambridge Philos. Soc. 110 (1991), 1-3.
  5. M. N. Huxley, The integer points close to a curve, Mathematika 36 (1989), 198-215.
  6. C.-H. Jia, On squarefull integers in short intervals, Acta Math. Sinica 5 (1987), 614-621 (in Chinese).
  7. H. Liu, On square-full numbers in short intervals, Acta Math. Sinica 6 (1990), 148-164 (in Chinese).
  8. P. G. Schmidt, Zur Anzahl quadratvoller Zahlen in kurzen Intervallen, Acta Arith. 46 (1986), 159-164
  9. P. G. Schmidt, Über die Anzahl quadratvoller Zahlen in kurzen Intervallen und ein verwandtes Gitterpunktproblem, Acta Arith. 50 (1988), 195-201; Corrigendum, Acta Arith. 54 (1990), 251-254.
  10. P. Shiu, On squarefull integers in a short interval, Glasgow Math. J. 25 (1984), 127-134.
Pages:
323-333
Main language of publication
English
Received
1993-06-03
Accepted
1994-04-24
Published
1994
Exact and natural sciences