# 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

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top## How to cite

topMichael 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

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

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