Topics in the Theory of Quadratic Residues
by Steve Wright
Publisher: arXiv 2014
Number of pages: 160
Beginning with the fundamental contributions of Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the key ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study as a window through which to view the development of some of those ideas and techniques.
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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 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 Douglas Ulmer - arXiv
The focus is on elliptic curves over function fields over finite fields. We explain the main classical results on the Birch and Swinnerton-Dyer conjecture in this context and its connection to the Tate conjecture about divisors on surfaces.
by Krassimir Atanassov - Erhus Univ Pr
A collection of 27 Smarandache's problems which the autor solved by 1999. 22 problems are related to different sequences, 4 problems are proved, modifications of two problems are formulated, and counterexamples to two of the problems are constructed.