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Sums of even powers of real linear forms

About this Title

Bruce Reznick

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 96, Number 463
ISBNs: 978-0-8218-2523-5 (print); 978-1-4704-0889-3 (online)
MathSciNet review: 1096187
MSC: Primary 11E76; Secondary 11P05, 52A21

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Table of Contents


  • 1. Introduction and overview
  • 2. Preliminaries
  • 3. Cones of $n$-ary $m$-ics and their duals
  • 4. Representations as sums of $m$-th powers
  • 5. Binary forms and ternary quartics
  • 6. Moment problems
  • 7. Quadrature problems
  • 8. Representations of $h_{n,m}$
  • 9. Minimal representations of $h_{n,m}$
  • 10. Further questions