Analytic number theory contains many clever and deep "tricks", some of which are used quite frequently. Karatsuba's book presents the fundamental techniques and their applications to four central problems. These methods are the basic tools of analytic number theory and are widely used. Thus, this book will be useful to both students and researchers.
Anatolij A. Karatsuba
Analytic Number Theory Analytische Zahlentheorie Distribution of prime numbers Goldbach's Problem Prime Prime number Waring's problem number theory the circle method