Israel Journal of Mathematics

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

A sum-product estimate in algebraic division algebras

  • Mei-Chu Chang


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.


Division Algebra Finite Subset Maximal Subset Additive Number Theory Normed Subspace 
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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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