Results 231 to 240 of about 373,144 (279)
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1989
This payer presents an algorithm for the computation of the sign of the value of a polynomial at an algebraic number.
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This payer presents an algorithm for the computation of the sign of the value of a polynomial at an algebraic number.
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Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Weil Banach Algebra for Multiplicative Algebraic Numbers
Journal of Number Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Normal Numbers and Powers of Algebraic Numbers
Integers, 2010AbstractLetOur results show, for example, the following: Letfor all ...
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Algebraic Numbers and Algebraic Functions
1991Part 1 Fields with valuations: absolute values the topology defined by an absolute value complete fields valuations, valuation rings and places the representation by power series ordered groups general valuations. Part 2 Extensions: generalities on extensions extensions of complete fields extensions of incomplete fields Dedekind domains and the string ...
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RATIONAL APPROXIMATIONS TO ALGEBRAIC NUMBERS
Mathematics of the USSR-Izvestiya, 1971In this article we derive a new effective estimate of rational approximations to algebraic numbers simultaneously in an Archimedian and several non-Archimedian metrics.
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1998
Abstract Many important numbers, such as ../2 and i, are solutions of polynomial equations. Such numbers are said to be algebraic, and we shall study their basic theory in this chapter. Algebraic numbers also occur frequently in the following context: We start with a polynomial f(X) over Q and we wish to study the solutions of the ...
A W Chatters, C R Hajarnavis
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Abstract Many important numbers, such as ../2 and i, are solutions of polynomial equations. Such numbers are said to be algebraic, and we shall study their basic theory in this chapter. Algebraic numbers also occur frequently in the following context: We start with a polynomial f(X) over Q and we wish to study the solutions of the ...
A W Chatters, C R Hajarnavis
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On the question of the algebraic independence of algebraic powers of algebraic numbers
Mathematical Notes of the Academy of Sciences of the USSR, 1972We obtain results showing that transcendental numbers of the form αβ, wherea≠0, 1, β is irrational, anda and β are algebraic numbers, cannot be expressed algebraically in terms of two of the numbers. The proof is carried out by A. O. Gel'fond's method.
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Hypercomplex Numbers: From Algebra to Algebras
2015The term “algebra” dates back to the ninth century AD, but the subject, referring to the solution of polynomial equations, is roughly four thousand years old. It originated in about 1800 BC, with the Babylonians, who solved linear and quadratic equations much as we do today.
Hardy Grant, Israel Kleiner
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