Number Theory in Function Fields
Elementary number theory is concerned with arithmetic properties of the ring of integers. 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, for example, analogues of the theorems of Fermat and Euler, Wilsons theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlets theorem on primes in an arithmetic progression. After presenting the required foundational material on function fields, the later chapters explore the analogy between gl…
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Produktdetails
- ISBN: 978-1-4419-2954-9
- EAN: 9781441929549
- Produktnummer: 10300821
- Verlag: Springer New York
- Sprache: Englisch
- Erscheinungsjahr: 2010
- Seitenangabe: 376 S.
- Masse: H23.5 cm x B15.5 cm x D2.0 cm 569 g
- Auflage: Softcover reprint of hardcover 1st ed. 2002
- Abbildungen: Paperback
- Gewicht: 569
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