Basic Structures of Function Field Arithmetic: v. 35 (Series of Modern Surveys in Mathematics) - Tapa dura

Libro 36 de 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Goss, David

 
9783540610878: Basic Structures of Function Field Arithmetic: v. 35 (Series of Modern Surveys in Mathematics)
Tapa dura
ISBN 10: 3540610871 ISBN 13: 9783540610878
Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1996

Sinopsis

The arithmetic of function fields over finite fields has been an area of extensive research since the mid-1970s with interesting results being obtained. This text offers an 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 when needed. Unsolved problems are posed to the reader and a comprehensive list of references is included.

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Críticas

From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss' clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062

Reseña del editor

The arithmetic of function fields over finite fields has been an area of extensive research since the mid-1970s with interesting results being obtained. This text offers an 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 when needed. Unsolved problems are posed to the reader and a comprehensive list of references is included.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Año de publicación
1996
Idioma
Inglés
ISBN 10 
3540610871
ISBN 13 
9783540610878
Encuadernación
Tapa dura
Número de páginas
437
Contacto del fabricante
no disponible
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