Arithmetical aspects of the large sieve inequality (Record no. 58592)

MARC details
000 -LEADER
fixed length control field 02819nam a22002897a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20211115102216.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 211115b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9788185931906
028 ## - DISTRIBUTOR NAME
Distributor Name :Variety Books Publishers & Distributors
Distributor address :B-10 Street No 2 West Vinod Nagar Delhi 110092
Bill Number :IM2892
Bill Date :02/11/2021
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.73 RAM
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Ramaré, Olivier
245 ## - TITLE STATEMENT
Title Arithmetical aspects of the large sieve inequality
Statement of responsibility, etc / Olivier Ramaré
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New Delhi
Name of publisher, distributor, etc : Hindustan Book Agency,
Date of publication, distribution, etc 2009.
300 ## - PHYSICAL DESCRIPTION
Extent 201 pages
Dimensions 24cm.
365 ## - TRADE PRICE
Price amount 320
490 ## - SERIES STATEMENT
Series statement Lecture notes (Harish-Chandra Research Institute), 1.
505 ## - FORMATTED CONTENTS NOTE
Contents note Introduction.; 1. The large sieve inequality; 2. An extension of the classical arithmetical theory of the large sieve.; 3. Some general remarks on arithmetical functions; 4. A Geometric interpretation; 5. Further arithmetical applications; 6. The Siegel zero effect; 7. A weighted hermitian inequality; 8. A first use of local models; 9. Twin primes and local models; 10. The three primes theorem; 11. The Selberg sieve; 12. Fourier expansion of sieve weights; 13. The Selberg sieve for sequences; 14. An overview; 15. Some weighted sequences; 16. Small gaps between primes; 17. Approximating by a local model; 18. Selecting other sets of moduli; 19. Sums of two squarefree numbers; 20. On large sieve equality.; Appendix. Notations. References. Index.
520 ## - SUMMARY, ETC.
Summary, etc This book is an elaboration of a series of lectures given at the Harish-Chandra Research Institute. The reader will be taken through a journey on the arithmetical sides of the large sieve inequality when applied to the Farey dissection. This will reveal connections between this inequality, the Selberg sieve and other less used notions like pseudo-characters and the $\Lambda_Q$-function, as well as extend these theories. One of the leading themes of these notes is the notion of so-called\emph{local models} that throws a unifying light on the subject. As examples and applications, the authors present, among other things, an extension of the Brun-Tichmarsh Theorem, a new proof of Linnik's Theorem on quadratic residues and an equally novel one of the Vinogradov three primes Theorem; the authors also consider the problem of small prime gaps, of sums of two squarefree numbers and several other ones, some of them being new, like a sharp upper bound for the number of twin primes $p$ that are such that $p+1$ is squarefree. In the end the problem of equality in the large sieve inequality is considered and several results in this area are also proved.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Sieves (Mathematics)
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Numbers, Prime.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Series, Arithmetic.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Ramaré, Olivier
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Ramana ; D S
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Mathematics Departmental Library
Holdings
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     Mathematics Departmental Library SNU LIBRARY 15/11/2021 Variety Books Publishers & Distributors 320.00   512.73 RAM M285 15/11/2021 15/11/2021 Mathematics Departmental Library FPDA Grant
© Copyright Shiv Nadar University 2012. All Rights Reserved.  Disclaimer |  Sitemap
The Shiv Nadar University has been established under U.P. Act No 12 of 2011. Shiv Nadar University is UGC Approved.