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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

How to cite

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Ekkehard 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

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  1. [1] S. Bochner, Die Poissonsche Summationsformel in mehreren Veränderlichen, Math. Ann. 106 (1932), 56-63. Zbl58.0283.01
  2. [2] T. Bonnesen und W. Fenchel, Theorie der konvexen Körper, Springer, Berlin 1934. Zbl0008.07708
  3. [3] F. Fricker, Einführung in die Gitterpunktlehre, Birkhäuser, Basel 1982. Zbl0489.10001
  4. [4] E. Hlawka, Über Integrale auf konvexen Körpern I, Monatsh. Math. 54 (1950), 1-36. 
  5. [5] E. Hlawka, Integrale auf konvexen Körpern II, Monatsh. Math. 81-99. 
  6. [6] M. N. Huxley, Exponential sums and lattice points, Proc. London Math. Soc. (3) 60 (1990), 471-502. Zbl0659.10057
  7. [7] M. N. Huxley, Area, lattice points and exponential sums, preprint, 1991. 
  8. [8] M. N. Huxley and N. Watt, Exponential sums and the Riemann zeta function, Proc. London Math. Soc. (3) 57 (1988), 1-24. 
  9. [9] E. Krätzel, Lattice Points, Kluwer, Dordrecht 1988. 
  10. [10] E. Krätzel and W. G. Nowak, Lattice points in large convex bodies, Monatsh. Math. 112 (1991), 61-72. Zbl0754.11027
  11. [11] C. G. Lekkerkerker, Geometry of Numbers, North-Holland, Amsterdam 1969. 
  12. [12] W. G. Nowak, On the lattice rest of a convex body in s , Arch. Math. (Basel) 45 (1985), 284-288. Zbl0552.10033
  13. [13] W. G. Nowak, On the lattice rest of a convex body in s , II, Arch. Math. (Basel) 47 (1986), 232-237. Zbl0582.10034
  14. [14] W. G. Nowak, On the lattice rest of a convex body in s , III, Czechoslovak Math. J. 41 (116) (1991), 359-367. Zbl0745.11044
  15. [15] E. C. Titchmarsh, On Epstein's zeta-function, Proc. London Math. Soc. (2) 36 (1934), 485-500. Zbl0008.30101
  16. [16] E. C. Titchmarsh, The lattice points in a circle, Proc. London Math. Soc. (2) 38 (1934), 96-115. Zbl0010.10403

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