| 000 -LEADER |
|---|
| fixed length control field |
01887nam a2200217Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20241004144946.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
180205s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470437305 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA 241 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Marius Overholt |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
A course in analytic number theory |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Name of publisher, distributor, etc. |
American Mathematical Society , |
| Date of publication, distribution, etc. |
[c2014] |
| Place of publication, distribution, etc. |
Rhode Island: |
| 300 ## - Physical Description |
|---|
| Pages: |
371 p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Graduate Studies in Mathematics |
| Library of Congress call number |
QA 241 |
| Volume/sequential designation |
Vol. 160 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Chapter 1. Arithmetic functions<br/>Chapter 2. Topics on arithmetic functions<br/>Chapter 3. Characters and Euler products<br/>Chapter 4. The circle method<br/>Chapter 5. The method of contour integrals<br/>Chapter 6. The prime number theorem<br/>Chapter 7. The Siegel-Walfisz theorem<br/>Chapter 8. Mainly analysis<br/>Chapter 9. Euler products and number fields<br/>Chapter 10. Explicit formulas<br/>Chapter 11. Supplementary exercises<br/> |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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<br/><br/><br/> |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Koha item type |
Book |
