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Number theory in function fields

Number theory in function fields (1회 대출)

자료유형
단행본
개인저자
Rosen, Michael I. (Michael Ira), 1938-.
서명 / 저자사항
Number theory in function fields / Michael Rosen.
발행사항
New York :   Springer,   c2002.  
형태사항
xii, 358 p. ; 25 cm.
총서사항
Graduate texts in mathematics ;210
ISBN
0387953353 (alk. paper)
서지주기
Includes bibliographical references (p. [341]-351) and index.
일반주제명
Number theory. Finite fields (Algebra)
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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)

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실/ 청구기호 512.7 R813n 등록번호 151125240 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

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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