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THE (α+2β)-INEQUALITY ON A TORUS

Published online by Cambridge University Press:  01 June 1998

YURI BILU
YURI BILU
Affiliation:
Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland. E-mail: [email protected]
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Abstract

A theorem of Macbeath asserts that μ(A+B)[ges ]min(1, μ(A)+μ(B)) for any subsets A and B of a finite-dimensional torus. We conjecture that, when the obvious exceptions are excluded, a stronger inequality

formula here

holds, and we prove this conjecture under some technical restrictions.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 513 - 528
Copyright
The London Mathematical Society 1998

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