Unsolved Problems in Number Theory
By: by Richard K. Guy
Edition: Third Edition.
Series: Problem Books in Mathematics -- 1; Problem books in mathematics -- 1.
Publisher: Springer New York
Published: 2004
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 438
ISBN-13: 9781441919281; 9780387266770
Subjects: Mathematics; Number theory
Description: Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity. For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway's RATS and palindromes. The author has also included a useful new feature at the end of several of the sections: lists of references to OEIS, Neil Sloane's Online Encyclopedia of Integer Sequences.   About the First Edition: "...many talented young mathematicians will write their first papers starting out from problems found in this book." - András Sárközi, MathSciNet.
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Mode of access: World Wide Web.
Table of contents: title: Preface; title: Introduction; title: Prime Numbers; title: Divisibility; title: Additive Number Theory; title: Diophantine Equations; title: Sequences of Integers; title: None of the Above.