The remarkable effectiveness of ergodic theory in number theory

26 Dec

The initial plan of this book was to cover the Green-Tao, Elkies-McMullen and Einsiedler-Katok-Lindenstrauss theorems. However, due to the usual problem of limitation of space and time, we were forced to make a choice between these three beautiful results. Because Einsiedler-Katok-Lindenstrauss theorem is a little bit more difficult to explain from the technical point of view (in the author’s opinion), we have chosen to discuss Green-Tao and Elkies-McMullen theorems.