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  4. An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert's 17th Problem

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert's 17th Problem - Henri Lombardi - Bog

af Henri Lombardi

indgår i Memoirs of the American Mathematical Society serien

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert's 17th Problem af Henri Lombardi
Bag om An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert's 17th Problem

The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials $ 2^{ 2^{ 2^{d^{4^{k}}} } } $.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9781470441081
  • Indbinding:
  • Paperback
  • Sideantal:
  • 113
  • Udgivet:
  • 30. april 2020
  • Størrelse:
  • 178x254x0 mm.
  • Vægt:
  • 252 g.
  • Ukendt - mangler pt..

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  • BLACK NOVEMBER

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Prøv i 30 dage for 45 kr.
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The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials $ 2^{ 2^{ 2^{d^{4^{k}}} } } $.

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