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Introduction to $p$-adic Analytic Number Theory
M. Ram Murty
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Description for Introduction to $p$-adic Analytic Number Theory
Paperback. Series: AMS/IP Studies in Advanced Mathematics. Num Pages: 149 pages. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 179 x 246 x 6. Weight in Grams: 302.
This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises, it will acquaint the non-expert with 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 ... Read more
This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises, it will acquaint the non-expert with 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 ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
American Mathematical Society United States
Number of pages
149
Condition
New
Series
AMS/IP Studies in Advanced Mathematics
Number of Pages
149
Place of Publication
Providence, United States
ISBN
9780821847749
SKU
V9780821847749
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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