What's new1/16/2026

The integrated explicit analytic number theory network

Terence Tao
Like many other areas of modern analysis, analytic number theory often relies on the convenient device of asymptotic notation to express its results. It is common to use notation such as or , for instance, to indicate a bound of the form for some unspecified constant . Such implied constants vary from line to line, and in most papers, one does not bother to compute them explicitly. This makes the papers easier both to write and to read (for instance, one can use asymptotic notation to conceal a.