MARC details
| 000 -LÍDER |
|---|
| fixed length control field |
03933nam a22004455i 4500 |
| 001 - NÚMERO DE CONTROL |
|---|
| control field |
u375233 |
| 003 - IDENTIFICADOR DEL NÚMERO DE CONTROL |
|---|
| control field |
SIRSI |
| 005 - FECHA Y HORA DE LA ULTIMA TRANSACCIÓN |
|---|
| control field |
20160812084314.0 |
| 007 - CAMPO FIJO DE DESCRIPCIÓN FIJA--INFORMACIÓN GENERAL |
|---|
| fixed length control field |
cr nn 008mamaa |
| 008 - ELEMENTOS DE LONGITUD FIJA -- INFORMACIÓN GENERAL |
|---|
| fixed length control field |
110115s2011 gw | s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
|---|
| International Standard Book Number |
9783642161520 |
| -- |
978-3-642-16152-0 |
| 040 ## - FUENTE DE CATALOGACIÓN |
|---|
| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
|---|
| Classification number |
QA241-247.5 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
|---|
| Classification number |
512.7 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
|---|
| Personal name |
Köhler, Günter. |
| Relator term |
author. |
| 245 10 - MENCIÓN DE TITULO |
|---|
| Title |
Eta Products and Theta Series Identities |
| Medium |
[recurso electrónico] / |
| Statement of responsibility, etc. |
by Günter Köhler. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
| Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2011. |
| 300 ## - DESCRIPCIÓN FÍSICA |
|---|
| Extent |
XXII, 622 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
|---|
| Series statement |
Springer Monographs in Mathematics, |
| International Standard Serial Number |
1439-7382 |
| 505 0# - NOTA DE CONTENIDO |
|---|
| Formatted contents note |
Introduction -- Part I: Theoretical background -- 1. Dedekind’s eta function and modular forms -- 2. Eta products -- 3. Eta products and lattice points in simplices -- 4. An algorithm for listing lattice points in a simplex -- 5. Theta series with Hecke character -- 6. Groups of coprime residues in quadratic fields -- Part II: Examples.-7. Ideal numbers for quadratic fields -- 8 Eta products of weight -- 9. Level 1: The full modular group -- 10. The prime level N = 2 -- 11. The prime level N = 3 -- 12. Prime levels N = p = 5 -- 13. Level N = 4 -- 14. Levels N = p2 with primes p = 3 -- 15 Levels N = p3 and p4 for primes p -- 16. Levels N = pq with primes 3 = p < q -- 17. Weight 1 for levels N = 2p with primes p = 5 -- 18. Level N = 6 -- 19. Weight 1 for prime power levels p5 and p6 -- 20. Levels p2q for distinct primes p = 2 and q -- 21. Levels 4p for the primes p = 23 and 19 -- 22. Levels 4p for p = 17 and 13 -- 23. Levels 4p for p = 11 and 7 -- 24. Weight 1 for level N = 20 -- 25. Cuspidal eta products of weight 1 for level 12 -- 26. Non-cuspidal eta products of weight 1 for level 12 -- 27. Weight 1 for Fricke groups G*(q3p) -- 28. Weight 1 for Fricke groups G*(2pq) -- 29. Weight 1 for Fricke groups G*(p2q2) -- 30. Weight 1 for the Fricke groups G*(60) and G*(84) -- 31. Some more levels 4pq with odd primes p _= q -- References -- Directory of Characters -- Index of Notations -- Index. |
| 520 ## - NOTA DE RESUMEN, ETC. |
|---|
| Summary, etc. |
This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields, and with Eisenstein series. The author brings to the public the large number of identities that have been discovered over the past 20 years, the majority of which have not been published elsewhere. The book will be of interest to graduate students and scholars in the field of number theory and, in particular, modular forms. It is not an introductory text in this field. Nevertheless, some theoretical background material is presented that is important for understanding the examples in Part II. In Part I relevant definitions and essential theorems -- such as a complete proof of the structure theorems for coprime residue class groups in quadratic number fields that are not easily accessible in the literature -- are provided. Another example is a thorough description of an algorithm for listing all eta products of given weight and level, together with proofs of some results on the bijection between these eta products and lattice simplices. |
| 596 ## - |
|---|
| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Number theory. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Algebraic topology. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Number Theory. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Algebraic Topology. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783642161513 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
|---|
| Uniform title |
Springer Monographs in Mathematics, |
| International Standard Serial Number |
1439-7382 |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
|---|
| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-16152-0">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-16152-0</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
|---|
| Koha item type |
Libro Electrónico |
