The distribution of squarefull numbers in short intervals

Michael Filaseta; Ognian Trifonov

Acta Arithmetica (1994)

  • Volume: 67, Issue: 4, page 323-333
  • ISSN: 0065-1036

How to cite

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Michael Filaseta, and Ognian Trifonov. "The distribution of squarefull numbers in short intervals." Acta Arithmetica 67.4 (1994): 323-333. <http://eudml.org/doc/206635>.

@article{MichaelFilaseta1994,
author = {Michael Filaseta, Ognian Trifonov},
journal = {Acta Arithmetica},
keywords = {short intervals; difference method; squarefull numbers; asymptotic formula; gaps between squarefree numbers},
language = {eng},
number = {4},
pages = {323-333},
title = {The distribution of squarefull numbers in short intervals},
url = {http://eudml.org/doc/206635},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Michael Filaseta
AU - Ognian Trifonov
TI - The distribution of squarefull numbers in short intervals
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 4
SP - 323
EP - 333
LA - eng
KW - short intervals; difference method; squarefull numbers; asymptotic formula; gaps between squarefree numbers
UR - http://eudml.org/doc/206635
ER -

References

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  1. [1] P. T. Bateman and E. Grosswald, On a theorem of Erdős and Szekeres, Illinois J. Math. 2 (1958), 88-98. Zbl0079.07104
  2. [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. Zbl0723.11044
  3. [3] M. Filaseta and O. Trifonov, On gaps between squarefree numbers II, J. London Math. Soc. (2) 45 (1992), 215-221. Zbl0799.11032
  4. [4] D. R. Heath-Brown, Square-full numbers in short intervals, Math. Proc. Cambridge Philos. Soc. 110 (1991), 1-3. Zbl0735.11043
  5. [5] M. N. Huxley, The integer points close to a curve, Mathematika 36 (1989), 198-215. Zbl0659.10032
  6. [6] C.-H. Jia, On squarefull integers in short intervals, Acta Math. Sinica 5 (1987), 614-621 (in Chinese). Zbl0649.10032
  7. [7] H. Liu, On square-full numbers in short intervals, Acta Math. Sinica 6 (1990), 148-164 (in Chinese). Zbl0708.11044
  8. [8] P. G. Schmidt, Zur Anzahl quadratvoller Zahlen in kurzen Intervallen, Acta Arith. 46 (1986), 159-164 Zbl0565.10042
  9. [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. Zbl0661.10057
  10. [10] P. Shiu, On squarefull integers in a short interval, Glasgow Math. J. 25 (1984), 127-134. Zbl0526.10035

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