menu
{ "item_title" : "P-Adic Analysis", "item_author" : [" Neal Koblitz", "J. W. S. Cassels", "N. J. Hitchin "], "item_description" : "This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/0/52/128/060/0521280605_b.jpg", "price_data" : { "retail_price" : "63.00", "online_price" : "63.00", "our_price" : "63.00", "club_price" : "63.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
P-Adic Analysis|Neal Koblitz

P-Adic Analysis : A Short Course on Recent Work

local_shippingShip to Me
In Stock.
FREE Shipping for Club Members help

Overview

This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.

This item is Non-Returnable

Details

  • ISBN-13: 9780521280600
  • ISBN-10: 0521280605
  • Publisher: Cambridge University Press
  • Publish Date: November 1980
  • Dimensions: 9.06 x 6.1 x 0.43 inches
  • Shipping Weight: 0.59 pounds
  • Page Count: 168

Related Categories

You May Also Like...

    1

BAM Customer Reviews