On the lattice rest of a convex body in 𝐑 s , III

Werner Georg Nowak

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 2, page 359-367
  • ISSN: 0011-4642

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Nowak, Werner Georg. "On the lattice rest of a convex body in $\mathbf {R}^s$, III." Czechoslovak Mathematical Journal 41.2 (1991): 359-367. <http://eudml.org/doc/13933>.

@article{Nowak1991,
author = {Nowak, Werner Georg},
journal = {Czechoslovak Mathematical Journal},
keywords = {number of lattice points; blown up body; two-sided -estimate; lattice rest; convex body; oscillations},
language = {eng},
number = {2},
pages = {359-367},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the lattice rest of a convex body in $\mathbf \{R\}^s$, III},
url = {http://eudml.org/doc/13933},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Nowak, Werner Georg
TI - On the lattice rest of a convex body in $\mathbf {R}^s$, III
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 2
SP - 359
EP - 367
LA - eng
KW - number of lattice points; blown up body; two-sided -estimate; lattice rest; convex body; oscillations
UR - http://eudml.org/doc/13933
ER -

References

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  2. Berndt B., 10.1016/0022-314X(71)90003-5, J. Number Theory 3, 288-305 (1971). (1971) Zbl0219.10050MR0291105DOI10.1016/0022-314X(71)90003-5
  3. Bonnesen T., and Fenchel W., Theorie der konvexen Körper, Berlin 1934. (1934) 
  4. Fricker F., Einführung in die Gitterpunktlehre, Basel-Boston-Stuttgart 1982. (1982) Zbl0489.10001MR0673938
  5. Hafner J. L., 10.1016/0022-314X(82)90082-8, J. Number Theory 15, 36-76 (1982). (1982) Zbl0495.10027MR0666348DOI10.1016/0022-314X(82)90082-8
  6. Hlawka E., Über Integrale auf konvexen Körpern I, Monatsh. f. Math. 54, 1 - 36 (1950). (1950) Zbl0036.30902MR0037003
  7. Jarník V., Sur les points à coordonnées entiéres dans le plan, Bull. int. de l'acad. des sciences de Bohême 1924, 12 p. (1924) 
  8. Krätzel E., Lattice points, Berlin 1988. (1988) MR0998378
  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). (1957) 
  10. Nowak W. G., 10.1007/BF01275583, Arch. Math. (Basel) 45, 284-288 (1985). (1985) MR0807664DOI10.1007/BF01275583
  11. Nowak W. G., 10.1007/BF01191999, Arch. Math. (Basel) 47, 232-237 (1986). (1986) MR0861871DOI10.1007/BF01191999
  12. Steinig J., 10.1016/0022-314X(72)90037-6, J. Number Theory 4, 463 - 468 (1972). (1972) Zbl0241.10028MR0306096DOI10.1016/0022-314X(72)90037-6
  13. Szegö P., and Walfisz A., 10.1007/BF01475448, (Erste Abhandlung). Math. Z. 26, 138-156 (1927). (1927) MR1544849DOI10.1007/BF01475448
  14. Szegö P., and Walfisz A., 10.1007/BF01475467, (Zweite Abhandlung). Math. Z. 26, 467-486 (1927). (1927) MR1544868DOI10.1007/BF01475467

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