Number Theory - Recent Approaches and Subfields

Recent Approaches and Subfields

The areas below date as such from no earlier than the mid-twentieth century, even if they are based on older material. For example, as is explained below, the matter of algorithms in number theory is very old, in some sense older than the concept of proof; at the same time, the modern study of computability dates only from the 1930s and 1940s, and computational complexity theory from the 1970s.

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Other articles related to "recent approaches and subfields":

Number Theorists - Recent Approaches and Subfields - Computations in Number Theory
... There are two main questions "can we compute this?" and "can we compute it rapidly?" ... Anybody can test whether a number is prime or, if it is not, split it into prime factors doing so rapidly is another matter ...

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