Basic Structures of Function Field Arithmetic
Seiten
1996
Springer Berlin (Hersteller)
978-3-540-61087-8 (ISBN)
Springer Berlin (Hersteller)
978-3-540-61087-8 (ISBN)
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The arithmetic of function fields over finite fields has been an area of extensive research for about two decades with many tantalizing results having recently been obtained. This book offers a self-contained introduction to basic concepts such as Drinfeld modules, T-modules, shtuka, exponentiation of ideals, and characteristic p L-functions and Gamma-functions in all their various manifestations. Insight from classical number theory, differential equations/algebra and algebraic geometry is presented whenever needed. Interesting unsolved problems are posed to the reader and a comprehensive list of references is included. All of this is presented to give the reader the basic tools to begin doing active research into this rapidly expanding area.
| Reihe/Serie | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge ; 35 |
|---|---|
| Verlagsort | Berlin |
| Sprache | englisch |
| Gewicht | 770 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 3-540-61087-1 / 3540610871 |
| ISBN-13 | 978-3-540-61087-8 / 9783540610878 |
| Zustand | Neuware |
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