On the number of lattice points in certain planar segments

Gerald Kuba

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 2, page 173-187
  • ISSN: 0139-9918

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Kuba, Gerald. "On the number of lattice points in certain planar segments." Mathematica Slovaca 53.2 (2003): 173-187. <http://eudml.org/doc/34574>.

@article{Kuba2003,
author = {Kuba, Gerald},
journal = {Mathematica Slovaca},
keywords = {lattice point; planar segment; circular segment; Huxley's theorem; circle problem},
language = {eng},
number = {2},
pages = {173-187},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the number of lattice points in certain planar segments},
url = {http://eudml.org/doc/34574},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Kuba, Gerald
TI - On the number of lattice points in certain planar segments
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 2
SP - 173
EP - 187
LA - eng
KW - lattice point; planar segment; circular segment; Huxley's theorem; circle problem
UR - http://eudml.org/doc/34574
ER -

References

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  1. HUXLEY M. N., Exponential sums and lattice points III, Preprint. Zbl1065.11079MR2005876
  2. HUXLEY M. N., Area, Lattice Points and Exponential Sums, London Math. Soc. Monographs (N.S.) 13, Clarendon Press, Oxford, 1996. (1996) Zbl0861.11002MR1420620
  3. KRÄTZEL E., Lattice Points, Math. Appl. (East European Seг.) 33, Kluwer Acad. Publ.; VEB Deutch. Verlag der Wiss., Dordrecht-Boston-London; Berlin, 1988. (1988) Zbl0675.10031
  4. KUIPERS L.-NIEDERREITER H., Uniform distribution of sequences, Pure Appl. Math. Wiley-Intersci. Publ., John Wiley Sons, New York-London-Sydney-Toronto, 1974. (1974) Zbl0281.10001MR0419394
  5. NOWAK W. G., Über die Anzahl der Gitterpunkte in verallgemeinerten Kreissektoren, Monatsh. Math. 87 (1979), 297-307. (1979) Zbl0411.10022MR0538762
  6. NOWAK W. G., Fractional part sums and lattice points, Proc. Edinburgh Math. Soc. (2) 41 (1998), 497-515. (1998) Zbl0931.11039MR1697586

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