An isoperimetric inequality related to Thue’s equation

Bean, Michael A.

doi:10.1090/S0273-0979-1994-00517-8

An isoperimetric inequality related to Thue's equation

Author: Michael A. Bean
Journal: Bull. Amer. Math. Soc. 31 (1994), 204-207
MSC: Primary 11D75; Secondary 11H99
DOI: https://doi.org/10.1090/S0273-0979-1994-00517-8
MathSciNet review: 1260516
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Abstract: This paper announces the discovery of an isoperimetric inequality for the area of plane regions defined by binary forms. This result has been applied subsequently in the enumeration of solutions to the Thue inequality and, given its fundamental nature, may find application in other areas as well.

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