Analytic Number Theory: An Introductory Course
Paul T. Bateman, Harold G. Diamond, "Analytic Number Theory: An Introductory Course"
2004 | ISBN-10: 9812560807, 9812389385 | 376 pages | PDF | 11 MB
2004 | ISBN-10: 9812560807, 9812389385 | 376 pages | PDF | 11 MB
This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analytic") methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.