A noniterative -adic statement of the
conjecture
Author:
Daniel J. Bernstein
Journal:
Proc. Amer. Math. Soc. 121 (1994), 405-408
MSC:
Primary 11S85; Secondary 11B75
DOI:
https://doi.org/10.1090/S0002-9939-1994-1186982-9
MathSciNet review:
1186982
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Abstract | References | Similar Articles | Additional Information
Abstract: Associated with the problem is a permutation
of the 2-adic integers. The
conjecture is equivalent to the conjecture that 3Q is an integer if
is a positive integer. We state a new definition of
. To wit: Q and
are linked by the equations
and
with
. We list four applications of this definition.
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Helmut Müller, Das
Problem, Mitt. Math. Ges. Hamburg 12 (1991), 231-251. MR 1144786 (93c:11053)
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problem, Q odd. II, Fibonacci Quart. 19 (1981), 293-296. MR 640176 (84m:10007b)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1994-1186982-9
Article copyright:
© Copyright 1994
American Mathematical Society