The large sieve and applications : (Record no. 4222)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02364nam a2200337Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250228230800.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 241112s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780521888516 (hbk.) |
| Terms of availability | £ 111.00 |
| 040 ## - CATALOGING SOURCE | |
| Language of cataloging | ENG |
| Transcribing agency | IISER-BPR |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.73 |
| Item number | KOW |
| Edition number | 23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kowalski, E. |
| 9 (RLIN) | 1082 |
| 222 ## - KEY TITLE | |
| Key title | Mathematics |
| 245 #4 - TITLE STATEMENT | |
| Title | The large sieve and applications : |
| Remainder of title | Arithmetic geometry, random walks and discrete groups |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Cambridge: |
| Name of publisher, distributor, etc | Cambridge University Press, |
| Date of publication, distribution, etc | c2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xxi, 293p. : |
| Dimensions | 24cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Cambridge Tracts in Mathematics |
| Volume number/sequential designation | Vol. 175 |
| 9 (RLIN) | 3300 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes appendices, bibliographic references, and subject index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realisation that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.<br/><br/>* Explores new and surprising applications of the large sieve method, an important technique of analytic number theory<br/>* Presents applications in fields as wide ranging as topology, probability, arithmetic geometry and discrete group theory<br/>* Motivated, clear and self-contained discussions introduce readers to a technique previously confined to one field |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 9 (RLIN) | 3301 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analytic number theory |
| 9 (RLIN) | 3302 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Sieve methods |
| 9 (RLIN) | 3303 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Arithematic geometry |
| 9 (RLIN) | 3304 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Discrete groups |
| 9 (RLIN) | 3305 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| 947 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| a | 12110.099999999999 |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) | |
| Series part designator, SPT (RLIN) | 22 |
| 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 | Cost, replacement price | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 28/02/2025 | 41 | 9486.60 | 512.73 KOW | M00055 | 28/02/2025 | 12220.00 | 28/02/2025 | Books | Acquired through NBHM Library Grant 2024-2025. |
