Algebraic numbers of the form P(T)Q(T) with T transcendental
نویسندگان
چکیده
منابع مشابه
Algebraic and Transcendental Numbers
To begin with, recall that a complex number α is said to be a root of a polynomial P (X) if P (α) = 0. A complex number α is said to be algebraic if there is a nonzero polynomial P (X), with integer coefficients, of which α is a root. The set of algebraic numbers is denoted by Q̄. A complex number α which is not algebraic is said to be transcendental. The following numbers are obviously algebrai...
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The concept of “number” has formed the basis of civilzation since time immemorial. Looking back from our vantage point of the digital age, we can agree with Pythagoras that “all is number”. The study of numbers and their properties is the mathematical equivalent of the study of atoms and their structure. It is in fact more than that. The famous physicist and Nobel Laureate Eugene Wigner spoke o...
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ژورنال
عنوان ژورنال: Elemente der Mathematik
سال: 2010
ISSN: 0013-6018
DOI: 10.4171/em/143