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Algorithms in algebraic number theory
ACM SIGSAM Bulletin, 1984Symbolic and algebraic computation has gained increasing importance and interest in algebra, algebraic number theory and algebraic geometry during the last years. For doing research in these fields the need for examples arises. The use of high speed computers makes it possible to provide large scale examples which in turn contribute to the progress of ...
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Abstracts from the workshop held June 17-12, 2007; Vol. 4, no. 3, 1741-1791, 2007
G. Kings, M. Kisin, O. Venjakob
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G. Kings, M. Kisin, O. Venjakob
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The Number Theory of Algebraic Curves
2008This chapter investigates algebraic curves from the point of view of their function fields, using methods analogous to those used in studying algebraic number fields.
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Applications to Algebraic Number Theory
1990Let Z denote the ring of integers. An algebraic number field is an extension of Z of finite degree. Since Z is a natural ring, divisor theory applies to algebraic number fields.
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Algebraic 𝐾-Theory and Algebraic Number Theory
1989R. Keith Dennis, Michael R. Stein
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The origins of algebraic number theory
1991In his effort to construct a theory of biquadratic residues analogous to the theory of quadratic residues (Chapter 1), Gauss realised that it would be necessary to pass from the domain ℤ of integers to the domain $$z\left[ {\sqrt { - 1} } \right]$$ of numbers of the form \(x + y\sqrt {{ - 1}}\) with x,y ∈ℤ.
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Abstracts from the workshop held June 19--25, 2011; Vol. 8, no. 2, 1709-1768, 2011
B. Howard +3 more
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