Lattice points in large convex bodies, II
Ekkehard Krätzel; Werner Georg Nowak
Acta Arithmetica (1992)
- Volume: 62, Issue: 3, page 285-295
- ISSN: 0065-1036
Access Full Article
topHow to cite
topEkkehard Krätzel, and Werner Georg Nowak. "Lattice points in large convex bodies, II." Acta Arithmetica 62.3 (1992): 285-295. <http://eudml.org/doc/206494>.
@article{EkkehardKrätzel1992,
author = {Ekkehard Krätzel, Werner Georg Nowak},
journal = {Acta Arithmetica},
keywords = {large convex bodies; number of lattice points; two-dimensional exponential sum},
language = {eng},
number = {3},
pages = {285-295},
title = {Lattice points in large convex bodies, II},
url = {http://eudml.org/doc/206494},
volume = {62},
year = {1992},
}
TY - JOUR
AU - Ekkehard Krätzel
AU - Werner Georg Nowak
TI - Lattice points in large convex bodies, II
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 3
SP - 285
EP - 295
LA - eng
KW - large convex bodies; number of lattice points; two-dimensional exponential sum
UR - http://eudml.org/doc/206494
ER -
References
top- [1] S. Bochner, Die Poissonsche Summationsformel in mehreren Veränderlichen, Math. Ann. 106 (1932), 56-63. Zbl58.0283.01
- [2] T. Bonnesen und W. Fenchel, Theorie der konvexen Körper, Springer, Berlin 1934. Zbl0008.07708
- [3] F. Fricker, Einführung in die Gitterpunktlehre, Birkhäuser, Basel 1982. Zbl0489.10001
- [4] E. Hlawka, Über Integrale auf konvexen Körpern I, Monatsh. Math. 54 (1950), 1-36.
- [5] E. Hlawka, Integrale auf konvexen Körpern II, Monatsh. Math. 81-99.
- [6] M. N. Huxley, Exponential sums and lattice points, Proc. London Math. Soc. (3) 60 (1990), 471-502. Zbl0659.10057
- [7] M. N. Huxley, Area, lattice points and exponential sums, preprint, 1991.
- [8] M. N. Huxley and N. Watt, Exponential sums and the Riemann zeta function, Proc. London Math. Soc. (3) 57 (1988), 1-24.
- [9] E. Krätzel, Lattice Points, Kluwer, Dordrecht 1988.
- [10] E. Krätzel and W. G. Nowak, Lattice points in large convex bodies, Monatsh. Math. 112 (1991), 61-72. Zbl0754.11027
- [11] C. G. Lekkerkerker, Geometry of Numbers, North-Holland, Amsterdam 1969.
- [12] W. G. Nowak, On the lattice rest of a convex body in , Arch. Math. (Basel) 45 (1985), 284-288. Zbl0552.10033
- [13] W. G. Nowak, On the lattice rest of a convex body in , II, Arch. Math. (Basel) 47 (1986), 232-237. Zbl0582.10034
- [14] W. G. Nowak, On the lattice rest of a convex body in , III, Czechoslovak Math. J. 41 (116) (1991), 359-367. Zbl0745.11044
- [15] E. C. Titchmarsh, On Epstein's zeta-function, Proc. London Math. Soc. (2) 36 (1934), 485-500. Zbl0008.30101
- [16] E. C. Titchmarsh, The lattice points in a circle, Proc. London Math. Soc. (2) 38 (1934), 96-115. Zbl0010.10403
Citations in EuDML Documents
top- Gerald Kuba, On the distribution of squares of integral quaternions
- Fernando Chamizo, Lattice points in bodies of revolution
- Leonid Parnovski, Alexander V. Sobolev, On the Bethe-Sommerfeld conjecture
- Pavel M. Bleher, Freeman J. Dyson, Mean square limit for lattice points in a sphere
- Wolfgang Müller, On the average order of the lattice rest of a convex body
- V. Bentkus, F. Götze, On the lattice point problem for ellipsoids
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.