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Novák, Břetislav
On a certain sum in number theory. III. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 4, pp. 763-775
MSC: 10F99, 10J25, 11J69, 11P21 | MR 0330081 | Zbl 0285.10024
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On certain sum in number theory
References:
[1] B. DIVIŠ: Über Gitterpunkte in mehrdimensionalen Ellipsoiden. Czech. Math. Journal 20 (95) (1970), 130-139. MR 0255503
[2] G. H. HARDY T. E. LITTLEWOOD: Some problems of Diaphantine approximation: The lattice-points of a right-angle triangle (second memoir). Abhandlungen aus dem Math. Seminar der Hamb. Univ., Bd. 1 (1922), 212-249.
[3] A. H. KRUSE: Estimates of $\sum \sp{N}\sb{k=1}\,k\sp{-s}\,\langle kx\rangle \sp{-t}$. Acta Arith. 12 (1967), 229-263. MR 0207642
[4] B. NOVÁK: On certain sum in number theory. Comment. Math. Univ. Carolinae 12 (1971), 669-685. MR 0308054
[5] B. NOVÁK: On a certain sum in number theory II. Trans. Amer. Math. Soc. - to appear. MR 0435002
[6] B. NOVÁK: On lattice points in high-dimensional ellipsoids: problem of centers. Journal of Number Theory - to appear. MR 0476676
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