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Download the fantastic book titled Number Theory in Function Fields written by Michael Rosen, 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 "Number Theory in Function Fields", which was released on 18 April 2013. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.

Summary of Number Theory in Function Fields by Michael Rosen PDF

Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of various theorems. The later chapters probe the analogy between global function fields and algebraic number fields. Topics include the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.

Number Theory in Function Fields

Detail About Number Theory in Function Fields PDF

  • Author : Michael Rosen
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Total Pages : 355 pages
  • ISBN : 1475760469
  • PDF File Size : 17,8 Mb
  • Language : English
  • Rating : 4/5 from 21 reviews

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Number Theory in Function Fields

Number Theory in Function Fields
  • Publisher : Springer Science & Business Media
  • File Size : 46,9 Mb
  • Release Date : 18 April 2013
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Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The

Topics in the Theory of Algebraic Function Fields

Topics in the Theory of Algebraic Function Fields
  • Publisher : Springer Science & Business Media
  • File Size : 21,8 Mb
  • Release Date : 10 October 2007
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The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an

Algebraic Function Fields and Codes

Algebraic Function Fields and Codes
  • Publisher : Springer Science & Business Media
  • File Size : 45,8 Mb
  • Release Date : 11 February 2009
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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions

Basic Structures of Function Field Arithmetic

Basic Structures of Function Field Arithmetic
  • Publisher : Springer Science & Business Media
  • File Size : 40,7 Mb
  • Release Date : 06 December 2012
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From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has

Number Fields

Number Fields
  • Publisher : Springer
  • File Size : 32,5 Mb
  • Release Date : 05 July 2018
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Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents

Number Theory

Number Theory
  • Publisher : American Mathematical Soc.
  • File Size : 30,9 Mb
  • Release Date : 24 June 2024
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Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. The primary goal

Basic Number Theory.

Basic Number Theory.
  • Publisher : Springer Science & Business Media
  • File Size : 37,7 Mb
  • Release Date : 14 December 2013
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Itpzf}JlOV, li~oxov uoq>ZUJlCJ. 7:WV Al(JX., llpoj1. AE(Jj1. The first part of this volume is based on a course taught at Princeton University in 1961-62; at

A Brief Guide to Algebraic Number Theory

A Brief Guide to Algebraic Number Theory
  • Publisher : Cambridge University Press
  • File Size : 46,6 Mb
  • Release Date : 22 February 2001
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Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.

Weil's Conjecture for Function Fields

Weil's Conjecture for Function Fields
  • Publisher : Princeton University Press
  • File Size : 39,8 Mb
  • Release Date : 19 February 2019
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A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of

The Arithmetic of Function Fields

The Arithmetic of Function Fields
  • Publisher : Walter de Gruyter
  • File Size : 32,8 Mb
  • Release Date : 24 June 2011
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Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or