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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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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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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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2021
This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available. It is suitable for an independent study or as a textbook for a first course on the topic. The author presents the topic here by first offering a brief introduction to number
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This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available. It is suitable for an independent study or as a textbook for a first course on the topic. The author presents the topic here by first offering a brief introduction to number
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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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1992
In this chapter we extend some properties of Pisot numbers to algebraic number sets and to n-tuples of algebraic integers.
M. J. Bertin +4 more
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In this chapter we extend some properties of Pisot numbers to algebraic number sets and to n-tuples of algebraic integers.
M. J. Bertin +4 more
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