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Israel Journal of Mathematics

, Volume 150, Issue 1, pp 369–380 | Cite as

A sum-product estimate in algebraic division algebras

  • Mei-Chu Chang
Article

Abstract

LetA be a finite subset of some normed division algebra over ℝ with cardinality ⋎A⋎. We prove that either the sum set or the product set ofA has cardinality ⋎A1+δ for some δ>0.

Keywords

Division Algebra Finite Subset Maximal Subset Additive Number Theory Normed Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 2005

Authors and Affiliations

  • Mei-Chu Chang
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaRiversideUSA

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