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A note on the polynomial Freĭman–Ruzsa conjecture over ℤ

Published online by Cambridge University Press:  10 November 2017

FREDDIE MANNERS
FREDDIE MANNERS*
Affiliation:
450 Serra Mall Building 380, Stanford 94305, U.S.A. e-mail: [email protected]
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Abstract

The polynomial Freĭman–Ruzsa conjecture over the integers is often phrased in terms of convex progressions. We give an alternative, apparently stronger formulation in terms of the more restrictive “ellipsoid progressions”, and show that these formulations are in fact equivalent. The key input to the equivalence proof comes from strong results in asymptotic convex geometry.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 166 , Issue 2 , March 2019 , pp. 243 - 245
Copyright
Copyright © Cambridge Philosophical Society 2017 

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References

REFERENCES

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