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Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the a...
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This note covers the following topics, Introduction to number rings, Ideal arithmetic, Explicit ideal factorization, Linear algebra for number rings, Geometry of numbers, Zeta functions, Computing units and class groups,...
