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Equidistribution mod 1; Beatty's theorem; Littlewood conjecture; Discrepancy function. Low-discrepancy sequence; Illustration of a low-discrepancy sequence; Constructions of low-discrepancy sequences; Halton sequences; Geometry of numbers. Minkowski's theorem; Pick's theorem; Mahler's compactness theorem; Mahler measure; Effective results in ...
Download as PDF; Printable version; In other projects ... This is a list of algebraic number theory topics. Basic topics. These topics are basic to the field, either ...
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."
The class field theory concerns abelian extensions of number fields. class number 1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3.
Basic Number Theory is an influential book [1] by André Weil, an exposition of algebraic number theory and class field theory with particular emphasis on valuation-theoretic methods. Based in part on a course taught at Princeton University in 1961–62, it appeared as Volume 144 in Springer's Grundlehren der mathematischen Wissenschaften ...
Its authors have divided Elementary Number Theory, Group Theory and Ramanujan Graphs into four chapters. The first of these provides background in graph theory, including material on the girth of graphs (the length of the shortest cycle), on graph coloring, and on the use of the probabilistic method to prove the existence of graphs for which both the girth and the number of colors needed are ...