Unsolved problems in number theory

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.

First sentence: Number theory has fascinated both the amateur and the professional for a longer time than any other branch of mathematics, so that much of it is now of considerable technical difficulty.

Year

1981

Language

English

Series

Problem Books in Mathematics -- 1

Publisher

Springer New York

Editions

5

Pages

438

ISBN

9781441919281

Data source: Wikidata