Title:
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NUMBER THEORY IN FUNCTION FIELDS
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By: |
Michael Rosen |
Format: |
Hardback |
List price:
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£43.99 |
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ISBN 10: |
0387953353 |
ISBN 13: |
9780387953359 |
Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
Pub. date: |
8 January, 2002 |
Edition: |
2002 ed. |
Series: |
Graduate Texts in Mathematics v.210 |
Pages: |
358 |
Description: |
Elementary number theory is concerned with arithmetic properties of the ring of integers. This book illustrates this relationship by presenting, for example, analogues of the theorems of Fermat and Euler, Wilson's theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlet's theorem on primes in an arithmetic progression. |
Synopsis: |
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. |
Illustrations: |
biography |
Publication: |
US |
Imprint: |
Springer-Verlag New York Inc. |
Returns: |
Returnable |