Area, Lattice Points, and Exponential Sums

In analytic number theory a large number of problems can be “reduced” to problems involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method developed by Bombieri and Iwaniec in 1986 for estimating the Riemann zeta function on the line *s = 1⁄2. Huxley and his coworkers (mostly Huxley) have taken this method and vastly extended and improved it. The powerful techniquespresented here go considerably bey…