An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert's 17th Problem - Memoirs of the American Mathematical Society - Henri Lombardi - Books - American Mathematical Society - 9781470441081 - April 30, 2020
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Henri Lombardi
An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert's 17th Problem - Memoirs of the American Mathematical Society

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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}}} } } $.

113 pages

Media Books     Paperback Book   (Book with soft cover and glued back)
Released April 30, 2020
ISBN13 9781470441081
Publishers American Mathematical Society
Pages 113
Dimensions 150 × 220 × 10 mm   ·   252 g

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