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How to Recognize Zero

โœ Scribed by DANIEL RICHARDSON


Book ID
102976518
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
516 KB
Volume
24
Category
Article
ISSN
0747-7171

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โœฆ Synopsis


An elementary point is a point in complex n space, which is an isolated, nonsingular solution of n equations in n variables, each equation being either of the form p = 0, where p is a polynomial in Q[x 1 , . . . , xn], or of the form x je x i = 0. An elementary number is the polynomial image of an elementary point. In this article a semi algorithm is given to decide whether or not a given elementary number is zero. It is proved that this semi algorithm is an algorithm, i.e. that it always terminates, unless it is given a problem containing a counterexample to Schanuel's conjecture.


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