Introduction to p adic Analytic Number Theory is popular PDF and ePub book, written by M. Ram Murty in 2009-02-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to p adic Analytic Number Theory can be Read Online from any device for your convenience.
Introduction to p adic Analytic Number Theory Book PDF Summary
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 Book of Introduction to p adic Analytic Number Theory PDF
- Author : M. Ram Murty
- Release : 09 February 2009
- Publisher : American Mathematical Soc.
- ISBN : 9780821847749
- Genre : Mathematics
- Total Page : 162 pages
- Language : English
- PDF File Size : 18,9 Mb
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