Title:
|
On a certain sum in number theory. III. (English) |
Author:
|
Novák, Břetislav |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
13 |
Issue:
|
4 |
Year:
|
1972 |
Pages:
|
763-775 |
. |
Category:
|
math |
. |
MSC:
|
10F99 |
MSC:
|
10J25 |
MSC:
|
11J69 |
MSC:
|
11P21 |
idZBL:
|
Zbl 0285.10024 |
idMR:
|
MR0330081 |
. |
Date available:
|
2008-06-05T20:40:26Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105458 |
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Related article:
|
http://dml.cz/handle/10338.dmlcz/105377 |
. |
Reference:
|
[1] B. DIVIŠ: Über Gitterpunkte in mehrdimensionalen Ellipsoiden.Czech. Math. Journal 20 (95) (1970), 130-139. MR 0255503 |
Reference:
|
[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. |
Reference:
|
[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 |
Reference:
|
[4] B. NOVÁK: On certain sum in number theory.Comment. Math. Univ. Carolinae 12 (1971), 669-685. MR 0308054 |
Reference:
|
[5] B. NOVÁK: On a certain sum in number theory II.Trans. Amer. Math. Soc. - to appear. MR 0435002 |
Reference:
|
[6] B. NOVÁK: On lattice points in high-dimensional ellipsoids: problem of centers.Journal of Number Theory - to appear. MR 0476676 |
. |