Lectures on P-Adic L-Functions. (AM-74), Volume 74 / / Kinkichi Iwasawa.
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...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1972 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
74 |
| Online Access: | |
| Physical Description: | 1 online resource (112 p.) |
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| LEADER | 05003nam a22011415i 4500 | ||
|---|---|---|---|
| 001 | 9781400881703 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
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| 020 | |a 9781400881703 | ||
| 024 | 7 | |a 10.1515/9781400881703 |2 doi | |
| 035 | |a (DE-B1597)467952 | ||
| 035 | |a (OCoLC)979579082 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA247 |b .I95 1972eb | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512/.74 |2 23 |
| 100 | 1 | |a Iwasawa, Kinkichi, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Lectures on P-Adic L-Functions. (AM-74), Volume 74 / |c Kinkichi Iwasawa. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2016] | |
| 264 | 4 | |c ©1972 | |
| 300 | |a 1 online resource (112 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 74 | |
| 505 | 0 | 0 | |t Frontmatter -- |t PREFACE -- |t CONTENTS -- |t §1. DIRICHLET'S L-FUNCTIONS -- |t §2. GENERALIZED BERNOULLI NUMBERS -- |t §3. p-ADIC L-FUNCTIONS -- |t §4. p-ADIC LOGARITHMS AND p-ADIC REGULATORS -- |t §5. CALCULATION OF Lp (1; χ) -- |t §6. AN ALTERNATE METHOD -- |t §7. SOME APPLICATIONS -- |t APPENDIX -- |t BIBLIOGRAPHY |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Algebraic number theory. | |
| 650 | 0 | |a L-functions. | |
| 650 | 7 | |a MATHEMATICS / Number Theory. |2 bisacsh | |
| 653 | |a Abelian extension. | ||
| 653 | |a Absolute value. | ||
| 653 | |a Algebraic closure. | ||
| 653 | |a Algebraic number field. | ||
| 653 | |a Algebraic number theory. | ||
| 653 | |a Algebraic number. | ||
| 653 | |a Algebraically closed field. | ||
| 653 | |a Arithmetic function. | ||
| 653 | |a Class field theory. | ||
| 653 | |a Complex number. | ||
| 653 | |a Conjecture. | ||
| 653 | |a Cyclotomic field. | ||
| 653 | |a Dirichlet character. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Finite group. | ||
| 653 | |a Integer. | ||
| 653 | |a L-function. | ||
| 653 | |a Mellin transform. | ||
| 653 | |a Meromorphic function. | ||
| 653 | |a Multiplicative group. | ||
| 653 | |a P-adic L-function. | ||
| 653 | |a P-adic number. | ||
| 653 | |a Power series. | ||
| 653 | |a Prime number. | ||
| 653 | |a Quadratic field. | ||
| 653 | |a Rational number. | ||
| 653 | |a Real number. | ||
| 653 | |a Root of unity. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Series (mathematics). | ||
| 653 | |a Special case. | ||
| 653 | |a Subgroup. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology. | ||
| 700 | 1 | |a Iwasawa, Kenkichi, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691081120 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400881703 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400881703 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400881703/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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