Singular modular forms and theta relations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1991
|
| Series: | Lecture notes in mathematics
1487 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 172 S. |
| ISBN: | 3540547045 0387547045 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004558387 | ||
| 003 | DE-604 | ||
| 005 | 20141013 | ||
| 007 | t | ||
| 008 | 910909s1991 gw |||| 00||| eng d | ||
| 020 | |a 3540547045 |9 3-540-54704-5 | ||
| 020 | |a 0387547045 |9 0-387-54704-5 | ||
| 035 | |a (OCoLC)243707994 | ||
| 035 | |a (DE-599)BVBBV004558387 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-384 |a DE-91G |a DE-12 |a DE-355 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-634 |a DE-83 |a DE-11 |a DE-188 | ||
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a MAT 103f |2 stub | ||
| 084 | |a 11F27 |2 msc | ||
| 084 | |a 11F03 |2 msc | ||
| 100 | 1 | |a Freitag, Eberhard |d 1942- |e Verfasser |0 (DE-588)142950017 |4 aut | |
| 245 | 1 | 0 | |a Singular modular forms and theta relations |c Eberhard Freitag |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1991 | |
| 300 | |a 172 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1487 | |
| 650 | 0 | 7 | |a Modulform |0 (DE-588)4128299-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Siegel-Modulform |0 (DE-588)4129460-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Automorphe Form |0 (DE-588)4003972-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Theta-Reihe |0 (DE-588)4206702-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Siegel-Modulform |0 (DE-588)4129460-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Theta-Reihe |0 (DE-588)4206702-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Siegel-Modulform |0 (DE-588)4129460-9 |D s |
| 689 | 2 | 1 | |a Theta-Reihe |0 (DE-588)4206702-9 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Automorphe Form |0 (DE-588)4003972-9 |D s |
| 689 | 3 | |5 DE-604 | |
| 689 | 4 | 0 | |a Modulform |0 (DE-588)4128299-1 |D s |
| 689 | 4 | 1 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |D s |
| 689 | 4 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 1487 |w (DE-604)BV000676446 |9 1487 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002804564 | ||
Record in the Search Index
| _version_ | 1804118688906870784 |
|---|---|
| adam_text | Table of contents
Introduction 1
Chapter I. Siegel modular forms Introduction
1 The symplectic group 8
2 The Siegel upper half space 11
3 Multiplier systems 13
4 Siegel modular forms 16
5 The theta multiplier system 21
6 The Siegel ^ operator 29
Appendix to sec.6: Highest weights 33
Chapter II. Theta series with polynomial coefficients 38
1 Coefficient functions and the Gauss transformation 38
2 The general inversion formula 41
3 The action of the theta group on coefficient functions 44
4 The Eichler imbedding 48
5 Theta series with respect to positive definite quadratic forms 51
6 Theta series with harmonic forms as coefficients 57
Appendix to sec.6: The theory of harmonic forms 62
7 Some multiplier systems 66
Chapter III. Singular weights 70
1 Jacobi forms 70
2 Jacobi forms and theta series 75
3 Differential operators 83
4 The classification of singular weights 85
Chapter IV. Singular modular forms and theta series 89
1 The big singular space 89
2 Theta series contained in M 94
VI
3 Fourier Jacobi expansion 99
4 The hidden relations 106
5 A combinatorical problem 108
Chapter V. The fundamental lemma 111
1 Formulation of the lemma 111
2 Reduction to the case of a local ring R 116
3 The case, where the sum of isotropic vectors is isotropic 118
4 The case r = 2 122
5 An exceptional isotropic structure
The case of a ground field 135
6 An exceptional isotropic structure
The case of a ground ring 141
7 The case n 2r in general 149
Chapter VI. The results 153
1 The representation theorem and theta relations 153
2 An example 159
References 170
|
| any_adam_object | 1 |
| author | Freitag, Eberhard 1942- |
| author_GND | (DE-588)142950017 |
| author_facet | Freitag, Eberhard 1942- |
| author_role | aut |
| author_sort | Freitag, Eberhard 1942- |
| author_variant | e f ef |
| building | Verbundindex |
| bvnumber | BV004558387 |
| classification_rvk | SI 850 |
| classification_tum | MAT 103f |
| ctrlnum | (OCoLC)243707994 (DE-599)BVBBV004558387 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02199nam a2200565 cb4500</leader><controlfield tag="001">BV004558387</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20141013 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">910909s1991 gw |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540547045</subfield><subfield code="9">3-540-54704-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387547045</subfield><subfield code="9">0-387-54704-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)243707994</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004558387</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 103f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11F27</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11F03</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Freitag, Eberhard</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)142950017</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Singular modular forms and theta relations</subfield><subfield code="c">Eberhard Freitag</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">172 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1487</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modulform</subfield><subfield code="0">(DE-588)4128299-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Siegel-Modulform</subfield><subfield code="0">(DE-588)4129460-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Automorphe Form</subfield><subfield code="0">(DE-588)4003972-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Theta-Reihe</subfield><subfield code="0">(DE-588)4206702-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Siegel-Modulform</subfield><subfield code="0">(DE-588)4129460-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Theta-Reihe</subfield><subfield code="0">(DE-588)4206702-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Siegel-Modulform</subfield><subfield code="0">(DE-588)4129460-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Theta-Reihe</subfield><subfield code="0">(DE-588)4206702-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Automorphe Form</subfield><subfield code="0">(DE-588)4003972-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="4" ind2="0"><subfield code="a">Modulform</subfield><subfield code="0">(DE-588)4128299-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="4" ind2="1"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="4" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1487</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1487</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002804564</subfield></datafield></record></collection> |
| id | DE-604.BV004558387 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:17Z |
| institution | BVB |
| isbn | 3540547045 0387547045 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002804564 |
| oclc_num | 243707994 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | 172 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Freitag, Eberhard 1942- Verfasser (DE-588)142950017 aut Singular modular forms and theta relations Eberhard Freitag Berlin [u.a.] Springer 1991 172 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1487 Modulform (DE-588)4128299-1 gnd rswk-swf Siegel-Modulform (DE-588)4129460-9 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Theta-Reihe (DE-588)4206702-9 gnd rswk-swf Siegel-Modulform (DE-588)4129460-9 s DE-604 Theta-Reihe (DE-588)4206702-9 s Automorphe Form (DE-588)4003972-9 s Modulform (DE-588)4128299-1 s Singularität Mathematik (DE-588)4077459-4 s Lecture notes in mathematics 1487 (DE-604)BV000676446 1487 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Freitag, Eberhard 1942- Singular modular forms and theta relations Lecture notes in mathematics Modulform (DE-588)4128299-1 gnd Siegel-Modulform (DE-588)4129460-9 gnd Automorphe Form (DE-588)4003972-9 gnd Singularität Mathematik (DE-588)4077459-4 gnd Theta-Reihe (DE-588)4206702-9 gnd |
| subject_GND | (DE-588)4128299-1 (DE-588)4129460-9 (DE-588)4003972-9 (DE-588)4077459-4 (DE-588)4206702-9 |
| title | Singular modular forms and theta relations |
| title_auth | Singular modular forms and theta relations |
| title_exact_search | Singular modular forms and theta relations |
| title_full | Singular modular forms and theta relations Eberhard Freitag |
| title_fullStr | Singular modular forms and theta relations Eberhard Freitag |
| title_full_unstemmed | Singular modular forms and theta relations Eberhard Freitag |
| title_short | Singular modular forms and theta relations |
| title_sort | singular modular forms and theta relations |
| topic | Modulform (DE-588)4128299-1 gnd Siegel-Modulform (DE-588)4129460-9 gnd Automorphe Form (DE-588)4003972-9 gnd Singularität Mathematik (DE-588)4077459-4 gnd Theta-Reihe (DE-588)4206702-9 gnd |
| topic_facet | Modulform Siegel-Modulform Automorphe Form Singularität Mathematik Theta-Reihe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002804564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT freitageberhard singularmodularformsandthetarelations |