Results 151 to 160 of about 2,550,362 (221)

Algebraic Number Theory and Fermat's Last Theorem

Algebraic Methods Algebraic Background Rings and Fields Factorization of Polynomials Field Extensions Symmetric Polynomials Modules Free Abelian Groups Algebraic Numbers Algebraic Numbers Conjugates and Discriminants Algebraic Integers Integral Bases ...
I. Stewart, D. Tall
semanticscholar   +1 more source

Algebra and Algebraic Number Theory

1992
The 19th century was an age of deep qualitative transformations and, at the same time, of great discoveries in all areas of mathematics, including algebra. The transformation of algebra was fundamental in nature. Between the beginning and the end of the last century, or rather between the beginning of the last century and the twenties of this century ...
I. G. Bashmakova, A. N. Rudakov
openaire   +1 more source

Algebraic numbers

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
openaire   +1 more source

Random Algebraic Numbers

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Ducci Sequences with Algebraic Numbers

The Fibonacci quarterly, 2011
In this paper we study the iterated absolute values of differences between consecutive elements of a periodic sequence of real algebraic numbers.
Mihai Caragiu, A. Zaharescu, Mohammad Zaki   +2 more
semanticscholar   +1 more source

Realizing Algebraic Number Fields

1983
In the paper [13], the authors studied the problem of realizing rational division algebras in a special way. Let D be a division algebra that is finite dimensional over the rational field Q. If p is a prime, we say that D is p-realizable when there is a p-local torsion free abelian group A whose rank is the dimension of D over Q, such that D is ...
R. S. Pierce, C. I. Vinsonhaler
openaire   +1 more source

Algebraic Numbers and Algebraic Functions

1991
Part 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

2015
The 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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Algebraic Number Theory

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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A Weil Banach Algebra for Multiplicative Algebraic Numbers

Journal of Number Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources