Mathematics 6180, Spring 2017 Some Motivational Problems in Number Theory
نویسنده
چکیده
Number theory may be loosely defined as the study of the integers: in particular, the interaction between their additive and multiplicative structures. However, modern number theory is often described as the study of such objects as algebraic number fields and elliptic curves, which we have invented in order to answer elementary questions about the integers. Therefore, an argument can be made that the best way to define number theory is to exhibit some of these motivational problems.
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