A course in analytic number theory (Record no. 55972)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02399nam a22002297a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124151619.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191121b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470437305 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.73 OVE |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Marius Overholt |
| 245 ## - TITLE STATEMENT | |
| Title | A course in analytic number theory |
| Statement of responsibility, etc | /Marius Overholt |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence, Rhode Island |
| Name of publisher, distributor, etc | : American Mathematical Society |
| Date of publication, distribution, etc | , ©2014 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xviii, 371 pages |
| Dimensions | ; 26 cm |
| 365 ## - TRADE PRICE | |
| Price amount | 00 |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate studies in mathematics, v. 160. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Contents note | Arithmetic functions --<br/>Topics on arithmetic functions --<br/>Characters and euler products --<br/>The circle method --<br/>The method of contour integrals --<br/>The prime number theorem --<br/>The Sigel-Walfisz theorem --<br/>Mainly analysis --<br/>Euler products and number fields --<br/>Explicit formulas --<br/>Supplementary exercises. |
| 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. The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader. The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 655 ## - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Arithmetic functions |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Marius Overholt |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | SNU LIBRARY | SNU LIBRARY | 21/11/2019 | Maths Gifted Book | 0.00 | 512.73 OVE | G1568 | 21/11/2019 | 21/11/2019 | Books | Maths Gifted Book |
