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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 ...
Download as PDF; Printable version; In other projects ... Elementary number theory includes topics of number theory commonly taught at the primary and secondary ...
An elementary number is one formalization of the concept of a closed-form number. The elementary numbers form an algebraically closed field containing the roots of arbitrary expressions using field operations, exponentiation, and logarithms. The set of the elementary numbers is subdivided into the explicit elementary numbers and the implicit ...
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."
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Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. move to sidebar hide. ... Lemmas in number theory (10 ...
Most notably, he developed the theory of Dedekind sums. In 1937 Rademacher discovered an exact convergent series for the partition function P(n), the number of integer partitions of a number, improving upon Ramanujan 's asymptotic non-convergent series and validating Ramanujan's supposition that an exact series representation existed.
Download as PDF; Printable version; ... Square-free. Square-free integer; ... Computational number theory is also known as algorithmic number theory.