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

by David Goss

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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.
  • ISBN10 3642614817
  • ISBN13 9783642614811
  • Publish Date 15 January 2014 (first published 17 October 1996)
  • Publish Status Withdrawn
  • Out of Print 18 October 2014
  • Publish Country US
  • Imprint Springer
  • Format Paperback (US Trade)
  • Pages 444
  • Language English