Arithmetic Duality Theorems
by J.S. Milne
Publisher: BookSurge Publishing 2006
Number of pages: 347
The book deals with duality theorems in Galois, étale and flat cohomology, for local and global fields, as well as the corresponding rings of integers. Also covered are results about cohomological dimension, finiteness and Euler-Poincaré characteristics. It can serve as a good general reference for these questions.
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by Kenichiro Kashihara - Erhus University Press
An examination of some of the problems posed by Florentin Smarandache. The problems are from different areas, such as sequences, primes and other aspects of number theory. The problems are solved in the book, or the author raises new questions.
by Kenneth A. Ribet, William A. Stein - University of Washington
Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences...
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The fascinating Smarandache's universe is halfway between the recreational mathematics and the number theory. This book presents new Smarandache functions, conjectures, solved and unsolved problems, new type sequences and new notions in number theory.
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This text deals with some advanced consequences of the Smarandache function. The reading of this book is a form of mindjoining, where the author tries to create the opportunity for a shared experience of an adventure.