Koukoulopoulos, Dimitris  <br/><br/>
Distribution of prime numbers 

 - Providence, Rhode Island:  American Mathematical Society,  2019. 
 - xii, 356p.;  pbk;  26cm 
 - Graduate studies in mathematics; 203 .
<br/><br/>Includes bibliography and index 
<br/><br/> Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem.<br/><br/>https://bookstore.ams.org/gsm-203/#:~:text=Prime%20numbers%20have%20fascinated%20mathematicians,the%20forefront%20of%20mathematical%20research. 
<br/><br/><label>ISBN: </label>9781470447540 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Numbers, Prime<br/>Complex analysis--Methods<br/>Harmonic analysis--Methods<br/>Prime number theorem
<br/><br/><label>Dewey Class. No.: </label>512.73  / KOU