TY  - BOOK
AU  - Marius Overholt
TI  - A course in analytic number theory
T2  - Graduate Studies in Mathematics
SN  - 9781470437305
AV  - QA 241 
PY  - 2014///]
CY  - Rhode Island
PB  - American Mathematical Society
KW  - Mathematics
N1  - Chapter 1. Arithmetic functions
Chapter 2. Topics on arithmetic functions
Chapter 3. Characters and Euler products
Chapter 4. The circle method
Chapter 5. The method of contour integrals
Chapter 6. The prime number theorem
Chapter 7. The Siegel-Walfisz theorem
Chapter 8. Mainly analysis
Chapter 9. Euler products and number fields
Chapter 10. Explicit formulas
Chapter 11. Supplementary exercises

N2  - This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring's Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem.---Summary provided by publisher



ER  -