Comments and topics on Smarandache notions and problems
by Kenichiro Kashihara
Publisher: Erhus University Press 1996
Number of pages: 50
This book starts with an examination of some of the problems posed by Florentin Smarandache, one of the foremost mathematicians in the world today. The problems are from many different areas, such as sequences, primes and other aspects of number theory. Some of the problems are solved in the book, although in many cases the author raises additional questions. The second part of the book deals with a function created by the author and given the name the Pseudo Smarandache function.
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by Charles Ashbacher - American Research Press
The third book in a series exploring the set of problems called Smarandache Notions. This work delves more deeply into the mathematics of the problems, the level of difficulty here will be somewhat higher than that of the previous books.
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.
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The goal of this volume is to provide an entry point into the challenging field of the modern theory of automorphic forms. It is directed on the one hand at graduate students and professional mathematicians who would like to work in the area.
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The goal is to find and explore open questions in both geometry of numbers -- e.g. Lattice Point Enumerators, the Ehrhart-Polynomial, Minkowski's Convex Body Theorems, Minkowski-Hlawka Theorem, ... -- and its applications to number theory.