Title:
|
On the lattice rest of a convex body in $\bold R^s$, III (English) |
Author:
|
Nowak, Werner Georg |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
41 |
Issue:
|
2 |
Year:
|
1991 |
Pages:
|
359-367 |
. |
Category:
|
math |
. |
MSC:
|
11P21 |
idZBL:
|
Zbl 0745.11044 |
idMR:
|
MR1105451 |
DOI:
|
10.21136/CMJ.1991.102468 |
. |
Date available:
|
2008-06-09T15:39:48Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102468 |
. |
Reference:
|
[1] Abramowitz M., and Stegun I.: Handbook of mathematical functions.New York 1964. |
Reference:
|
[2] Berndt B.: On the average order of a class of arithmetical functions, II.J. Number Theory 3, 288-305 (1971). Zbl 0219.10050, MR 0291105, 10.1016/0022-314X(71)90003-5 |
Reference:
|
[3] Bonnesen T., and Fenchel W.: Theorie der konvexen Körper.Berlin 1934. |
Reference:
|
[4] Fricker F.: Einführung in die Gitterpunktlehre.Basel-Boston-Stuttgart 1982. Zbl 0489.10001, MR 0673938 |
Reference:
|
[5] Hafner J. L.: On the average order of a class of arithmetical functions.J. Number Theory 15, 36-76 (1982). Zbl 0495.10027, MR 0666348, 10.1016/0022-314X(82)90082-8 |
Reference:
|
[6] Hlawka E.: Über Integrale auf konvexen Körpern I.Monatsh. f. Math. 54, 1 - 36 (1950). Zbl 0036.30902, MR 0037003 |
Reference:
|
[7] Jarník V.: Sur les points à coordonnées entiéres dans le plan.Bull. int. de l'acad. des sciences de Bohême 1924, 12 p. |
Reference:
|
[8] Krätzel E.: Lattice points.Berlin 1988. MR 0998378 |
Reference:
|
[9] Krupička S.: On the number of lattice points in multidimensional convex bodies.(in Czech with German summary). Czech. Math. J. 7, 524-552 (1957). |
Reference:
|
[10] Nowak W. G.: On the lattice rest of a convex body in $R^S$.Arch. Math. (Basel) 45, 284-288 (1985). MR 0807664, 10.1007/BF01275583 |
Reference:
|
[11] Nowak W. G.: On the lattice rest of a convex body in $R^S$, II.Arch. Math. (Basel) 47, 232-237 (1986). MR 0861871, 10.1007/BF01191999 |
Reference:
|
[12] Steinig J.: On an integral connected with the average order of a class of arithmetical functions.J. Number Theory 4, 463 - 468 (1972). Zbl 0241.10028, MR 0306096, 10.1016/0022-314X(72)90037-6 |
Reference:
|
[13] Szegö P., and Walfisz A.: Über das Piltzsche Teilerproblem in algebraischen Zahlkörpern.(Erste Abhandlung). Math. Z. 26, 138-156 (1927). MR 1544849, 10.1007/BF01475448 |
Reference:
|
[14] Szegö P., and Walfisz A.: Über das Piltzsche Teilerproblem in algebraischen Zahlkörpern.(Zweite Abhandlung). Math. Z. 26, 467-486 (1927). MR 1544868, 10.1007/BF01475467 |
. |