By Richard R. Hall
The speculation of units of multiples, a topic that lies on the intersection of analytic and probabilistic quantity conception, has obvious a lot improvement because the booklet of "Sequences" by way of Halberstam and Roth approximately thirty years in the past. the realm is wealthy in difficulties, a lot of them nonetheless unsolved or bobbing up from present paintings. during this ebook, the writer offers a coherent, self-contained account of the prevailing conception, bringing the reader to the frontiers of analysis. one of many fascinations of the speculation is the range of equipment appropriate to it, which come with Fourier research, workforce thought, excessive and ultra-low moments, likelihood and hassle-free inequalities, and several other branches of quantity conception.