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Title Experimental number theory / Fernando Rodriguez Villegas.
Imprint Oxford : Oxford University Press, 2007.


 Internet  Electronic Book    AVAILABLE
Description 1 online resource (xvi, 214 pages) : illustrations
Series Oxford graduate texts in mathematics ; no. 13
Oxford graduate texts in mathematics ; no. 13.
Bibliog. Includes bibliographical references and index.
Note Available only to authorized UTEP users.
Print version record.
Subject Number theory -- Data processing.
Number theory -- Data processing -- Problems, exercises, etc.
Genre Problems and exercises.
Contents 1 Basic examples; 2 Reciprocity; 3 Positive definite binary quadratic forms; 4 Sequences; 5 Combinatorics; 6 p-adic numbers; 7 Polynomials; 8 Remarks on selected exercises; References; Index.
Summary This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions. - ;This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through.
Other Title Print version: Villegas, Fernando Rodriguez. Experimental number theory. Oxford : Oxford University Press, 2007 9780198528227 0198528221