An isoperimetric inequality for the area of plane regions defined by binary forms

Michael A. Bean

Compositio Mathematica (1994)

  • Volume: 92, Issue: 2, page 115-131
  • ISSN: 0010-437X

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Bean, Michael A.. "An isoperimetric inequality for the area of plane regions defined by binary forms." Compositio Mathematica 92.2 (1994): 115-131. <http://eudml.org/doc/90301>.

@article{Bean1994,
author = {Bean, Michael A.},
journal = {Compositio Mathematica},
keywords = {isoperimetric inequality; Thue equation; Thue inequality; area; real affine plane},
language = {eng},
number = {2},
pages = {115-131},
publisher = {Kluwer Academic Publishers},
title = {An isoperimetric inequality for the area of plane regions defined by binary forms},
url = {http://eudml.org/doc/90301},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Bean, Michael A.
TI - An isoperimetric inequality for the area of plane regions defined by binary forms
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 92
IS - 2
SP - 115
EP - 131
LA - eng
KW - isoperimetric inequality; Thue equation; Thue inequality; area; real affine plane
UR - http://eudml.org/doc/90301
ER -

References

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  13. 13 Mueller, J. and Schmidt, W.M., On the Newton Polygon, Mh. Math., 113 (1992) 33-50. Zbl0770.12001MR1149059
  14. 14 Salmon, G.C., Modern Higher Algebra, 3rd edition, Dublin, 1876, 4th edition, Dublin, 1885 (reprinted 1924, New York). 
  15. 15 Schmidt, W.M., Thue equations with few coefficients, Trans. Amer. Math. Soc., 303 (1987) 241-255. Zbl0634.10017MR896020
  16. 16 Stewart, C.L., On the number of solutions of polynomial congruences and Thue equations, J. Amer. Math. Soc., 4 (1991) 793-835. Zbl0744.11016MR1119199
  17. 17 Thue, A., Uber Annaherungswerte algebraischer Zahlen, J. reine angew. Math., 135 (1909) 284-305. JFM40.0265.01
  18. 18 van der Waerden, B.L., Algebra, Volumes 1 and 2, Springer, 1991. MR865346

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