imply that the prime number theorem holds in $[x - y,x],\ y=x^\theta $ , if $1-1/b < \theta < 1$ . In Chapter 3, we introduce the weighted zero-density approach due to Heath-Brown and Iwaniec ...

To make progress on one of number theory’s most elementary questions, two mathematicians turned to an unlikely source.

A few days back, I was at a convention of schoolteachers of mathematics. One of the keynote addresses was delivered by a college professor on Vedic Mathematics ...