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Unsolved problems in number theory. 2nd ed. (English) Zbl 0805.11001

Problem Books in Mathematics. Unsolved Problems in Intuitive Mathematics 1. New York, NY: Springer-Verlag (ISBN 0-387-94289-0/hbk). xvi, 285 p. (1994).
Since the appearance in 1981 of the first edition ( Zbl 0474.10001) [A Japanese translation with some corrections and additions was published in 1983 (see Zbl 0549.10001)] of this collection of open problems in number theory essential progress has been made: the Mordell conjecture has been proved, infinitely many Carmichael numbers have been found and possibly even the mystery of Fermat’s Last Theorem has been resolved. The present new edition takes account of these developments: the comments are updated and the bibliography essentially extended. Moreover several new problems have been added; there are seven new subsections dealing mostly with some new sequences of integers.

MSC:

11-02 Research exposition (monographs, survey articles) pertaining to number theory
00A07 Problem books
11Bxx Sequences and sets
11Dxx Diophantine equations
11Nxx Multiplicative number theory
11Pxx Additive number theory; partitions
11Axx Elementary number theory
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