Arithmetic on modular curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
1982
|
| Schriftenreihe: | Progress in mathematics
20 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 214 S. |
| ISBN: | 3764330880 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000090129 | ||
| 003 | DE-604 | ||
| 005 | 20210129 | ||
| 007 | t | ||
| 008 | 870612s1982 |||| 00||| eng d | ||
| 020 | |a 3764330880 |9 3-7643-3088-0 | ||
| 035 | |a (OCoLC)8346281 | ||
| 035 | |a (DE-599)BVBBV000090129 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-703 |a DE-739 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-20 |a DE-634 |a DE-83 |a DE-188 |a DE-11 | ||
| 050 | 0 | |a QA243 | |
| 082 | 0 | |a 512/.72 |2 19 | |
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a SK 780 |0 (DE-625)143255: |2 rvk | ||
| 084 | |a 10Dxx |2 msc | ||
| 084 | |a MAT 144f |2 stub | ||
| 084 | |a MAT 145f |2 stub | ||
| 100 | 1 | |a Stevens, Glenn |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Arithmetic on modular curves |c Glenn Stevens |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1982 | |
| 300 | |a XVI, 214 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 20 | |
| 650 | 4 | |a Congruences et résidus | |
| 650 | 7 | |a Congruences et résidus |2 ram | |
| 650 | 4 | |a Courbes modulaires | |
| 650 | 7 | |a Courbes modulaires |2 ram | |
| 650 | 4 | |a Fonctions L | |
| 650 | 7 | |a Fonctions L |2 ram | |
| 650 | 4 | |a Formes modulaires | |
| 650 | 7 | |a Formes modulaires |2 ram | |
| 650 | 4 | |a Congruences and residues | |
| 650 | 4 | |a Forms, Modular | |
| 650 | 4 | |a L-functions | |
| 650 | 4 | |a Modular curves | |
| 650 | 0 | 7 | |a Modulform |0 (DE-588)4128299-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a L-Funktion |0 (DE-588)4137026-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modulkurve |0 (DE-588)4308668-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a L-Funktion |0 (DE-588)4137026-0 |D s |
| 689 | 0 | 1 | |a Modulkurve |0 (DE-588)4308668-8 |D s |
| 689 | 0 | 2 | |a Modulform |0 (DE-588)4128299-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Progress in mathematics |v 20 |w (DE-604)BV000004120 |9 20 | |
| 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=000043661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000043661 | ||
Datensatz im Suchindex
| _version_ | 1804114545426300928 |
|---|---|
| adam_text | Table of Contents
Page
Introduction
Chapter 1. Background i
1.1. Modular Curves 4
1.2. Hecke Operators 7
1.3. The Cusps 11
1.4. T modules and Periods of Cusp Forms 18
1.5. Congruences 24
1. 6. The Universal Special Values 27
1.7. Points of finite order in Pic°(X(r)) 32
1. 8. Eisenstein Series and the Cuspidal Group 35
Chapter 2. Periods of Modular Forms 43
2. 1. L functions 45
2.2. A Calculus of Special Values 48
2.3. The Cocycle ir. and Periods of Modular Forms 51
2.4. Eisenstein Series 55
2. 5. Periods of Eisenstein Series 66
Chapter 3. The Special Values Associated to Cuspidal Groups 76
3. 1. Special Values Associated to the Cuspidal Group 78
3.2. Hecke Operators and Galois Modules 84
3.3. An Aside on Dirichlet L functions 90
3.4. Eigenfunctions in the Space of Eisenstein Series 93
3.5. Nonvanishing Theorems 101
3.6. The Group of Periods 103
viii
Page
Chapter 4. Congruences 107
4. 1. Eisensteln Ideals 109
4.2. Congruences Satisfied by Values of L functions 115
4.3. Two Examples: X^), Xo(7,7) 122
Chapter 5. P adic L functions and Congruences 126
5. 1. Distributions, Measures and p adic L functions 128
5. 2. Construction of Distributions 134
5. 3. Universal measures and measures associated to
cusp forms 141
5.4. Measures associated to Eisenstein Series 146
5.5. The Modular Symbol associated to E 151
5.6. Congruences Between p adic L functions 157
Chapter 6. Tables of Special Values 166
6.1. XQ(N), N prime 43 167
6.2. Genus One Curves, XQ(N) 188
6.3. X (13), Odd quadratic characters 205
Bibliography 211
|
| any_adam_object | 1 |
| author | Stevens, Glenn |
| author_facet | Stevens, Glenn |
| author_role | aut |
| author_sort | Stevens, Glenn |
| author_variant | g s gs |
| building | Verbundindex |
| bvnumber | BV000090129 |
| callnumber-first | Q - Science |
| callnumber-label | QA243 |
| callnumber-raw | QA243 |
| callnumber-search | QA243 |
| callnumber-sort | QA 3243 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 780 |
| classification_tum | MAT 144f MAT 145f |
| ctrlnum | (OCoLC)8346281 (DE-599)BVBBV000090129 |
| dewey-full | 512/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.72 |
| dewey-search | 512/.72 |
| dewey-sort | 3512 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02171nam a2200613 cb4500</leader><controlfield tag="001">BV000090129</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210129 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1982 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764330880</subfield><subfield code="9">3-7643-3088-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)8346281</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000090129</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="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</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-20</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA243</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.72</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 780</subfield><subfield code="0">(DE-625)143255:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">10Dxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 144f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 145f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Stevens, Glenn</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Arithmetic on modular curves</subfield><subfield code="c">Glenn Stevens</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">1982</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 214 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">Progress in mathematics</subfield><subfield code="v">20</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Congruences et résidus</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Congruences et résidus</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Courbes modulaires</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Courbes modulaires</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions L</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fonctions L</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Formes modulaires</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Formes modulaires</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Congruences and residues</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Forms, Modular</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">L-functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modular curves</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">L-Funktion</subfield><subfield code="0">(DE-588)4137026-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modulkurve</subfield><subfield code="0">(DE-588)4308668-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">L-Funktion</subfield><subfield code="0">(DE-588)4137026-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Modulkurve</subfield><subfield code="0">(DE-588)4308668-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Modulform</subfield><subfield code="0">(DE-588)4128299-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Progress in mathematics</subfield><subfield code="v">20</subfield><subfield code="w">(DE-604)BV000004120</subfield><subfield code="9">20</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=000043661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000043661</subfield></datafield></record></collection> |
| id | DE-604.BV000090129 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:08:25Z |
| institution | BVB |
| isbn | 3764330880 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000043661 |
| oclc_num | 8346281 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-20 DE-634 DE-83 DE-188 DE-11 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-20 DE-634 DE-83 DE-188 DE-11 |
| physical | XVI, 214 S. |
| psigel | TUB-nveb |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Stevens, Glenn Verfasser aut Arithmetic on modular curves Glenn Stevens Boston [u.a.] Birkhäuser 1982 XVI, 214 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 20 Congruences et résidus Congruences et résidus ram Courbes modulaires Courbes modulaires ram Fonctions L Fonctions L ram Formes modulaires Formes modulaires ram Congruences and residues Forms, Modular L-functions Modular curves Modulform (DE-588)4128299-1 gnd rswk-swf L-Funktion (DE-588)4137026-0 gnd rswk-swf Modulkurve (DE-588)4308668-8 gnd rswk-swf L-Funktion (DE-588)4137026-0 s Modulkurve (DE-588)4308668-8 s Modulform (DE-588)4128299-1 s DE-604 Progress in mathematics 20 (DE-604)BV000004120 20 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000043661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stevens, Glenn Arithmetic on modular curves Progress in mathematics Congruences et résidus Congruences et résidus ram Courbes modulaires Courbes modulaires ram Fonctions L Fonctions L ram Formes modulaires Formes modulaires ram Congruences and residues Forms, Modular L-functions Modular curves Modulform (DE-588)4128299-1 gnd L-Funktion (DE-588)4137026-0 gnd Modulkurve (DE-588)4308668-8 gnd |
| subject_GND | (DE-588)4128299-1 (DE-588)4137026-0 (DE-588)4308668-8 |
| title | Arithmetic on modular curves |
| title_auth | Arithmetic on modular curves |
| title_exact_search | Arithmetic on modular curves |
| title_full | Arithmetic on modular curves Glenn Stevens |
| title_fullStr | Arithmetic on modular curves Glenn Stevens |
| title_full_unstemmed | Arithmetic on modular curves Glenn Stevens |
| title_short | Arithmetic on modular curves |
| title_sort | arithmetic on modular curves |
| topic | Congruences et résidus Congruences et résidus ram Courbes modulaires Courbes modulaires ram Fonctions L Fonctions L ram Formes modulaires Formes modulaires ram Congruences and residues Forms, Modular L-functions Modular curves Modulform (DE-588)4128299-1 gnd L-Funktion (DE-588)4137026-0 gnd Modulkurve (DE-588)4308668-8 gnd |
| topic_facet | Congruences et résidus Courbes modulaires Fonctions L Formes modulaires Congruences and residues Forms, Modular L-functions Modular curves Modulform L-Funktion Modulkurve |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000043661&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT stevensglenn arithmeticonmodularcurves |