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Number theory in function fields

Number theory in function fields (Loan 1 times)

Material type
단행본
Personal Author
Rosen, Michael I. (Michael Ira), 1938-.
Title Statement
Number theory in function fields / Michael Rosen.
Publication, Distribution, etc
New York :   Springer,   c2002.  
Physical Medium
xii, 358 p. ; 25 cm.
Series Statement
Graduate texts in mathematics ;210
ISBN
0387953353 (alk. paper)
Bibliography, Etc. Note
Includes bibliographical references (p. [341]-351) and index.
Subject Added Entry-Topical Term
Number theory. Finite fields (Algebra)
000 00915camuu2200277 a 4500
001 000001073001
005 20020517112709
008 010627s2002 nyu b 001 0 eng d
010 ▼a 2001042962
020 ▼a 0387953353 (alk. paper)
040 ▼a DLC ▼c DLC ▼d DLC ▼d 244002
042 ▼a pcc
049 0 ▼l 151125240
050 0 0 ▼a QA241 ▼b .R675 2002
082 0 0 ▼a 512/.7 ▼2 21
090 ▼a 512.7 ▼b R813n
100 1 ▼a Rosen, Michael I. ▼q (Michael Ira), ▼d 1938-.
245 1 0 ▼a Number theory in function fields / ▼c Michael Rosen.
260 ▼a New York : ▼b Springer, ▼c c2002.
300 ▼a xii, 358 p. ; ▼c 25 cm.
440 0 ▼a Graduate texts in mathematics ; ▼v 210
504 ▼a Includes bibliographical references (p. [341]-351) and index.
650 0 ▼a Number theory.
650 0 ▼a Finite fields (Algebra)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Sejong Academic Information Center/Science & Technology/ Call Number 512.7 R813n Accession No. 151125240 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Polynomials over Finite Fields.- Primes, Arithmetic Functions, and the Zeta Function.- The Reciprocity Law.- Dirichlet L-series and Primes in an Arithmetic Progression.- Algebraic Function Fields and Global Function Fields.- Weil Differentials and the Canonical Class.- Extensions of Function Fields, Riemann-Hurwitz, and the ABC Theorem.- Constant Field Extensions.- Galois Extensions - Artin and Hecke L- functions.- Artin's Primitive Root Conjecture.- The Behavior of the Class Group in Constant Field Extensions.- Cyclotomic Function Fields.- Drinfeld Modules, An Introduction.- S-Units, S-Class Group, and the Corresponding L-functions.- The Brumer-Stark Conjecture.- Class Number Formulas in Quadratic and Cyclotomic Function Fields.- Average Value Theorems in Function Fields.


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