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Algorithms in algebraic number theory

ACM SIGSAM Bulletin, 1984
Symbolic 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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Algebraic number theory.

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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The Number Theory of Algebraic Curves

2008
This 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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Algebraic groups and number theory

, 1992
V. Platonov, A. Rapinchuk
semanticscholar   +1 more source

Applications to Algebraic Number Theory

1990
Let 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 Number Theory

, 1979
I. Stewart, D. Tall
semanticscholar   +1 more source

Number Theory and Algebra

2003
Jeffrey Shallit, Jean-Paul Allouche
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