Quaternary quadratic forms and an associated lattice constant

Terence Jackson

Acta Mathematica et Informatica Universitatis Ostraviensis (2002)

  • Volume: 10, Issue: 1, page 43-48
  • ISSN: 1804-1388

How to cite

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Jackson, Terence. "Quaternary quadratic forms and an associated lattice constant." Acta Mathematica et Informatica Universitatis Ostraviensis 10.1 (2002): 43-48. <http://eudml.org/doc/23863>.

@article{Jackson2002,
author = {Jackson, Terence},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
language = {eng},
number = {1},
pages = {43-48},
publisher = {University of Ostrava},
title = {Quaternary quadratic forms and an associated lattice constant},
url = {http://eudml.org/doc/23863},
volume = {10},
year = {2002},
}

TY - JOUR
AU - Jackson, Terence
TI - Quaternary quadratic forms and an associated lattice constant
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2002
PB - University of Ostrava
VL - 10
IS - 1
SP - 43
EP - 48
LA - eng
UR - http://eudml.org/doc/23863
ER -

References

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  1. J. W. S. Cassels, An introduction to the geometry of numbers, Springer, 1971. (1971) Zbl0209.34401MR0306130
  2. S. G. Dani, G. A. Margulis, V, alues of quadratic forms at integral points: an elementary approach, Enseign. Math. (2) 36 (1990), 143-174. (1990) MR1071418
  3. T. H. Jackson, 10.1112/jlms/s1-43.1.730, J. London Math. Soc. 43 (1968) 730-738. (1968) Zbl0164.05204MR0228432DOI10.1112/jlms/s1-43.1.730
  4. T. H. Jackson, 10.1016/0022-314X(81)90022-6, J. Number Theory 13 (1981), 376-397. (1981) Zbl0472.10026MR0634207DOI10.1016/0022-314X(81)90022-6
  5. T. H. Jackson, 10.1016/0022-314X(83)90061-6, J. Number Theory 16 (1983), 333-342. (1983) Zbl0514.10025MR0707606DOI10.1016/0022-314X(83)90061-6
  6. T. H. Jackson, Small positive values of indefinite ternary forms, Mathematika - to appear. Zbl1051.11033MR2059053
  7. K. Mahler, 10.1215/S0012-7094-45-01230-0, Duke Math. J. 12 (1945), 367-371. (1945) Zbl0060.11808MR0012097DOI10.1215/S0012-7094-45-01230-0
  8. A. Oppenheim, 10.2307/1968191, Ann. Math. 32 (1931), 271-298. (1931) Zbl0002.18002MR1502997DOI10.2307/1968191
  9. A. Oppenheim, 10.1093/qmath/4.1.54, Quart. J. Math. Oxford Ser. 2 4 (1953), 54-59. (1953) Zbl0050.27302MR0054650DOI10.1093/qmath/4.1.54
  10. B. Segre, Lattice points in infinite domains and asymmetric Diophantine approximations, Duke Math. J. 12 (1945), 337-365. (1945) Zbl0060.11807MR0012096
  11. G. L. Watson, Integral Quadratic Forms, Cambridge University Press, 1960. (1960) Zbl0090.03103MR0118704
  12. R. T. Worley, 10.1017/S1446788700009484, J. Austral. Math. Soc. 12 (1971), 224- 238. (1971) Zbl0218.10037MR0292754DOI10.1017/S1446788700009484

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