Lectures on Shimura Varieties
by A. Genestier, B.C. Ngo
Number of pages: 50
The main goal of these lectures will be to explain the representability of moduli space abelian varieties with polarization, endomorphism and level structure, due to Mumford and the description of the set of its points over a finite field, due to Kottwitz.
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by C. Dumitrescu, V. Seleacu - Erhus University Press
The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.
by J. E. Cremona - Cambridge University Press
The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.
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 Richard Dedekind - The Open Court Publishing
This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.