In
number theory and combinatorics, a
partition of a positive integer n, also called an integer
partition, is a way of writing n as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same
partition. (If order matters, the sum becomes a composition.)For example, 4 can be partitioned in five distinct ways:
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Lectures will provide background for the readings and explicate them where appropriate, while attempting to develop a coherent overall context that incorporates philosophical and social perspectives on the recurrent questions: what is literature, how is it produced, how can it be understood, and what is its purpose? This section features
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Algebraic number theory is a branch of
number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.
Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic
number fields and their rings of integers, finite fields, and function fields.These properties, such as whether a ring admits ...
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