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Lectures on p-adic L-functions

โœ Scribed by Kenkichi Iwasawa


Publisher
Princeton University Press
Year
1972
Tongue
English
Leaves
112
Series
Annals of Mathematics Studies
Category
Library

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โœฆ Synopsis


These are notes of lectures given at Princeton University during the fall semester of 1969. The notes present an introduction to p-adic L-functions originated in Kubota-Leopoldt {10} as p-adic analogues of classical L-functions of Dirichlet.


๐Ÿ“œ SIMILAR VOLUMES


Lectures on P-Adic L-Functions. (AM-74),
โœ Kinkichi Iwasawa ๐Ÿ“‚ Library ๐Ÿ“… 2016 ๐Ÿ› Princeton University Press ๐ŸŒ English

<p>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.</p> <br> <br> <p>Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketc

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Traditionally, $p$-adic $L$-functions have been constructed from complex $L$-functions via special values and Iwasawa theory. In this volume, Perrin-Riou presents a theory of $p$-adic $L$-functions coming directly from $p$-adic Galois representations (or, more generally, from motives). This theory e

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โœ Bernard Dwork (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1982 ๐Ÿ› Springer-Verlag New York ๐ŸŒ English

<p>The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. For this construction we draw upon the methods of A