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

Book 36 of 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)

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

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.

"About this title" may belong to another edition of this title.