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170329 ||| eng |
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|a 9781400881703
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|a Iwasawa, Kinkichi
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| 245 |
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|a Lectures on P-Adic L-Functions. (AM-74)
|h Elektronische Ressource
|c Kinkichi Iwasawa
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| 260 |
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|a Princeton, NJ
|b Princeton University Press
|c 2016, [2016]©1972
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| 300 |
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|a online resource
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| 653 |
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|a Algebraic number theory
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| 653 |
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|a L-functions
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
0 |
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|a Annals of Mathematics Studies
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| 500 |
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|a Mode of access: Internet via World Wide Web
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| 028 |
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|a 10.1515/9781400881703
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| 773 |
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|t Princeton eBook Package Archive 1931-1999
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| 773 |
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|t Princeton Annals of Mathematics Backlist eBook Package
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| 856 |
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|u https://www.degruyter.com/doi/book/10.1515/9781400881703
|x Verlag
|3 Volltext
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| 082 |
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|a 512/.74
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| 520 |
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|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
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