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

How to cite

top

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

top
  1. 1 Abramowitz, M. and Stegun, I., Handbook of Mathematical Functions, Dover, 1965. Zbl0171.38503
  2. 2 Ahlfors, L.V., Complex Analysis, 3rd edition, McGraw-Hill, New York, 1979. Zbl0395.30001MR510197
  3. 3 Bean, M.A., Areas of Plane Regions Defined by Binary Forms, Ph.D. Thesis, University of Waterloo, 1992. 
  4. 4 Beardon, A.F., The Geometry of Discrete Groups, Springer, New York, 1983. Zbl0528.30001MR698777
  5. 5 Bombieri, E. and Schmidt, W.M., On Thue's equation, Invent. Math., 88 (1987) 69-81. Zbl0614.10018MR877007
  6. 6 Dickson, L.E., Algebraic Invariants, Wiley, New York, 1914. Zbl45.0196.10JFM45.0196.10
  7. 7 Hardy, G.H., Littlewood, J.E., and Polya, G., Inequalities, Cambridge, 1952. MR46395JFM60.0169.01
  8. 8 Gunning, R.C., Introduction to Holomorphic Functions of Several Variables, Wadsworth & Brooks-Cole, 1990. Zbl0699.32001
  9. 9 Hooley, C., On binary cubic forms, J. reine angew. Math., 226 (1967) 30-87. Zbl0163.04605MR213299
  10. 10 Hormander, L., An Introduction to Complex Analysis in Several Variables, 3rd edition, North-Holland, Amsterdam, 1990. Zbl0685.32001MR1045639
  11. 11 Mahler, K., Zur Approximation algebraischer Zahlen III, Acta Math., 62 (1933) 91-166. Zbl0008.19801JFM60.0159.04
  12. 12 Mueller, J. and Schmidt, W.M., Thue's equation and a conjecture of Siegel, Acta Math., 160 (1988) 207-247. Zbl0655.10016MR945012
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.