A set of new Smarandache functions, sequences and conjectures in number theory
by Felice Russo
Publisher: American Research Press 2000
Number of pages: 114
The Smarandache's universe is undoubtedly very fascinating and is halfway between the number theory and the recreational mathematics. Even though sometime this universe has a very simple structure from number theory standpoint, it doesn't cease to be deeply mysterious and interesting. This book, following the Smarandache spirit, presents new Smarandache functions, new conjectures, solved/unsolved problems, new Smarandache type sequences and new Smarandache Notions in number theory.
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by Wolfgang M. Schmidt - Tata Institute of Fundamental Research
The theory of Irregularities of Distribution began as a branch of Uniform Distributions, but is of independent interest. In these lectures the author restricted himself to distribution problems with a geometric interpretation.
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...
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 J.S. Milne - BookSurge Publishing
This book, intended for research mathematicians, proves the duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry, for example, in the proof of Fermat's Last Theorem.