Lectures on p-Adic L-functions:
An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
1972
|
| Series: | Annals of Mathematics Studies
number 74 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Physical Description: | 1 online resource |
| ISBN: | 9781400881703 |
| DOI: | 10.1515/9781400881703 |
Staff View
MARC
| LEADER | 00000nmm a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV043712430 | ||
| 003 | DE-604 | ||
| 005 | 20191217 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 160810s1972 |||| o||u| ||||||eng d | ||
| 020 | |a 9781400881703 |9 978-1-4008-8170-3 | ||
| 024 | 7 | |a 10.1515/9781400881703 |2 doi | |
| 035 | |a (ZDB-23-DGG)9781400881703 | ||
| 035 | |a (OCoLC)1165490557 | ||
| 035 | |a (DE-599)BVBBV043712430 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 | ||
| 082 | 0 | |a 512/.74 |2 23 | |
| 100 | 1 | |a Iwasawa, Kinkichi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on p-Adic L-functions |c Kinkichi Iwasawa |
| 264 | 1 | |a Princeton, NJ |b Princeton University Press |c 1972 | |
| 264 | 4 | |c © 1972 | |
| 300 | |a 1 online resource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of Mathematics Studies |v number 74 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) | ||
| 520 | |a An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields | ||
| 546 | |a In English | ||
| 650 | 4 | |a Algebraic number theory | |
| 650 | 4 | |a L-functions | |
| 650 | 0 | 7 | |a p-adische L-Funktion |0 (DE-588)4398270-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dirichletsche L-Funktion |0 (DE-588)4403093-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a p-adische L-Funktion |0 (DE-588)4398270-0 |D s |
| 689 | 0 | 1 | |a Dirichletsche L-Funktion |0 (DE-588)4403093-9 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 0-691-08112-3 |
| 830 | 0 | |a Annals of Mathematics Studies |v number 74 |w (DE-604)BV040389493 |9 74 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400881703?locatt=mode:legacy |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-23-DGG |a ZDB-23-PST | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029124658 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804176498448400384 |
|---|---|
| any_adam_object | |
| author | Iwasawa, Kinkichi |
| author_facet | Iwasawa, Kinkichi |
| author_role | aut |
| author_sort | Iwasawa, Kinkichi |
| author_variant | k i ki |
| building | Verbundindex |
| bvnumber | BV043712430 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (ZDB-23-DGG)9781400881703 (OCoLC)1165490557 (DE-599)BVBBV043712430 |
| dewey-full | 512/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.74 |
| dewey-search | 512/.74 |
| dewey-sort | 3512 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400881703 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02652nmm a2200493 cb4500</leader><controlfield tag="001">BV043712430</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20191217 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">160810s1972 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400881703</subfield><subfield code="9">978-1-4008-8170-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400881703</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9781400881703</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1165490557</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043712430</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.74</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Iwasawa, Kinkichi</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on p-Adic L-functions</subfield><subfield code="c">Kinkichi Iwasawa</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">1972</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1972</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Annals of Mathematics Studies</subfield><subfield code="v">number 74</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">L-functions</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">p-adische L-Funktion</subfield><subfield code="0">(DE-588)4398270-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dirichletsche L-Funktion</subfield><subfield code="0">(DE-588)4403093-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">p-adische L-Funktion</subfield><subfield code="0">(DE-588)4398270-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Dirichletsche L-Funktion</subfield><subfield code="0">(DE-588)4403093-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">0-691-08112-3</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Annals of Mathematics Studies</subfield><subfield code="v">number 74</subfield><subfield code="w">(DE-604)BV040389493</subfield><subfield code="9">74</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400881703?locatt=mode:legacy</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="a">ZDB-23-PST</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029124658</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV043712430 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400881703 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029124658 |
| oclc_num | 1165490557 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Iwasawa, Kinkichi Verfasser aut Lectures on p-Adic L-functions Kinkichi Iwasawa Princeton, NJ Princeton University Press 1972 © 1972 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 74 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields In English Algebraic number theory L-functions p-adische L-Funktion (DE-588)4398270-0 gnd rswk-swf Dirichletsche L-Funktion (DE-588)4403093-9 gnd rswk-swf p-adische L-Funktion (DE-588)4398270-0 s Dirichletsche L-Funktion (DE-588)4403093-9 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-08112-3 Annals of Mathematics Studies number 74 (DE-604)BV040389493 74 https://doi.org/10.1515/9781400881703?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Iwasawa, Kinkichi Lectures on p-Adic L-functions Annals of Mathematics Studies Algebraic number theory L-functions p-adische L-Funktion (DE-588)4398270-0 gnd Dirichletsche L-Funktion (DE-588)4403093-9 gnd |
| subject_GND | (DE-588)4398270-0 (DE-588)4403093-9 |
| title | Lectures on p-Adic L-functions |
| title_auth | Lectures on p-Adic L-functions |
| title_exact_search | Lectures on p-Adic L-functions |
| title_full | Lectures on p-Adic L-functions Kinkichi Iwasawa |
| title_fullStr | Lectures on p-Adic L-functions Kinkichi Iwasawa |
| title_full_unstemmed | Lectures on p-Adic L-functions Kinkichi Iwasawa |
| title_short | Lectures on p-Adic L-functions |
| title_sort | lectures on p adic l functions |
| topic | Algebraic number theory L-functions p-adische L-Funktion (DE-588)4398270-0 gnd Dirichletsche L-Funktion (DE-588)4403093-9 gnd |
| topic_facet | Algebraic number theory L-functions p-adische L-Funktion Dirichletsche L-Funktion |
| url | https://doi.org/10.1515/9781400881703?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT iwasawakinkichi lecturesonpadiclfunctions |