The distribution of squarefull numbers in short intervals

• Autorzy: Michael Filaseta , Ognian Trifonov
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 67
• Numer: 4
• Strony: 323-333

Daty

wydano

1994

otrzymano

1993-06-03

poprawiono

1994-04-24

Twórcy

autor

Michael Filaseta

• Mathematics Department, University of South Carolina, Columbia, South Carolina 29208, U.S.A.

autor

Ognian Trifonov

• Center of Mathematics and Mechanics, Bulgarian Academy of Sciences, P.O. Box 373, 1090 Sofia, Bulgaria

Bibliografia

• [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.