Geodesic
On square-full integers in a short interval
Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 127-134

Voir la notice de l'article provenant de la source Cambridge University Press

A positive integer nis called a square-full integer if p2 divides n whenever p is a prime divisor of n. For x > 1 we denote by Q(x) the number of square-full integers not exceeding x. Bateman and Grosswald [1] proved that 
Shiu, P. On square-full integers in a short interval. Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 127-134. doi: 10.1017/S0017089500005516
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[1] 1.Bateman, P. T. and Grosswald, E., On a theorem of Erdos and Szekeres, Illinois J. Math. 2 (1958), 88–98. Google Scholar

[2] 2.Ivic, A. and Shiu, P., The distribution of powerful integers, Illinois J. Math. 26 (1982), 576–590. Google Scholar

[3] 3.Landau, E., Über die Anzahl der Gitterpunkte in gewissen Bereichen (II), Nachr. Ges. Wiss. Gottingen (1915), 209–243. Google Scholar

[4] 4.Phillips, E., The zeta-function of Riemann: further developments of van der Corput's method, Quart. J. Math. Oxford 41 (1933), 209–225. Google Scholar

[5] 5.Rankin, R. A., van der Corput's method and the theory of exponent pairs, Quart. J. Math. Oxford Ser. 26 (1955), 147–153. Google Scholar

[6] 6.Richert, H. E., Über die Anzahl Abelscher Gruppen gegebener Ordnung (I), Math. Z. 56 (1952), 21–32. Google Scholar

[7] 7.Roth, K. F., On the gaps between squarefree numbers, J. London Math. Soc. 26 (1951), 263–268. Google Scholar

[8] 8.Shiu, P., On the number of square-full integers between successive squares, Mathematika 27 (1980), 171–178. Google Scholar

[9] 9.Srinivasan, B. V., On the number of Abelian groups of a given order, Ada Arith. 23 (1973), 195–205. Google Scholar

[10] 10.van der Corput, J. G., Verscharfung der Abschatzung beim Teilerproblem, Math. Ann. 87 (1922), 39–65. Google Scholar

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