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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 ...
James Victor Uspensky (Russian: Яков Викторович Успенский, romanized: Yakov Viktorovich Uspensky; April 29, 1883 – January 27, 1947) was a Russian and American mathematician notable for writing Theory of Equations. [2] [3]
Download as PDF; Printable version; From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Number theory#Elementary number theory; Retrieved from " ...
Elementary number theory includes topics of number theory commonly taught at the primary and secondary school level, or in college courses on introductory number theory. Shortcut {{ MSC }}
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In elementary number theory, the lifting-the-exponent lemma (LTE lemma) provides several formulas for computing the p-adic valuation of special forms of integers. The lemma is named as such because it describes the steps necessary to "lift" the exponent of p {\displaystyle p} in such expressions.
Jones was born in 1943 in Queen Charlotte's and Chelsea Hospital. She was the first member of her family to attend university. Jones contracted polio as a child and lost both of her legs at the age of ten. [1] [2] Jones attended the University of Reading, where she studied mathematics and physics and graduated both with first class honours. [3]
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 ...