Shintani zeta functions / (Record no. 517825)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02903nam a22003498i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511662331 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160233.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 091215s1993||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511662331 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521448048 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA351 |
| Item number | .Y85 1993 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.56 |
| Edition number | 20 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Yukie, Akihiko, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Shintani zeta functions / |
| Statement of responsibility, etc | Akihiko Yukie. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 1993. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xii, 339 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 183 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | pt. I. The general theory. Ch. 1. Preliminaries. Ch. 2. Eisenstein series on GL(n). Ch. 3. The general program -- pt. II. The Siegel-Shintani case. Ch. 4. The zeta function for the space of quadratic forms -- pt. III. Preliminaries for the quartic case. Ch. 5. The case G = GL(2) x GL(2), V = Sym[superscript 2]k[superscript 2] [actual symbol not reproducible] k[superscript 2]. Ch. 6. The case G = GL(2) x GL(1)[superscript 2], V = Sym[superscript 2]k[superscript 2] [actual symbol not reproducible] k. Ch. 7. The case G = GL(2) x GL(1)[superscript 2], V = Sym[superscript 2]k[superscript 2] [actual symbol not reproducible] k[superscript 2] -- pt. IV. The quartic case. Ch. 8. Invariant theory of pairs of ternary quadratic forms. Ch. 9. Preliminary estimates. Ch. 10. The non-constant terms associated with unstable strata. Ch. 11. Unstable distributions. Ch. 12. Contributions front unstable strata. Ch. 13. The main theorem. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The theory of prehomogeneous vector spaces is a relatively new subject although its origin can be traced back through the works of Siegel to Gauss. The study of the zeta functions related to prehomogeneous vector spaces can yield interesting information on the asymptotic properties of associated objects, such as field extensions and ideal classes. This is amongst the first books on this topic, and represents the author's deep study of prehomogeneous vector spaces. Here the author's aim is to generalise Shintani's approach from the viewpoint of geometric invariant theory, and in some special cases he also determines not only the pole structure but also the principal part of the zeta function. This book will be of great interest to all serious workers in analytic number theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functions, Zeta. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521448048 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 183. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511662331">https://doi.org/10.1017/CBO9780511662331</a> |
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