Download the fantastic book titled Introduction to p adic Analytic Number Theory written by M. Ram Murty, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Introduction to p adic Analytic Number Theory", which was released on 09 February 2009. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of Introduction to p adic Analytic Number Theory by M. Ram Murty PDF
This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises included, it will acquaint the non-expert to the basic ideas of the theory and encourage the novice to enter this fertile field of research. The main focus of the book is the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and continues with establishing the Kummer congruences. These congruences are then used to construct the $p$-adic analog of the Riemann zeta function and $p$-adic analogs of Dirichlet's $L$-functions. Featured is a chapter on how to apply the theory of Newton polygons to determine Galois groups of polynomials over the rational number field. As motivation for further study, the final chapter introduces Iwasawa theory.
Detail About Introduction to p adic Analytic Number Theory PDF
- Author : M. Ram Murty
- Publisher : American Mathematical Soc.
- Genre : Mathematics
- Total Pages : 162 pages
- ISBN : 0821847740
- Release Date : 09 February 2009
- PDF File Size : 42,5 Mb
- Language : English
- Rating : 4/5 from 21 reviews
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