ON A VARIATION OF A CONGRUENCE OF SUBBARAO
2012 ◽
Vol 93
(1-2)
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pp. 85-90
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Keyword(s):
AbstractWe study positive integers $n$ such that $n\phi (n)\equiv 2\hspace{0.167em} {\rm mod}\hspace{0.167em} \sigma (n)$, where $\phi (n)$ and $\sigma (n)$ are the Euler function and the sum of divisors function of the positive integer $n$, respectively. We give a general ineffective result showing that there are only finitely many such $n$ whose prime factors belong to a fixed finite set. When this finite set consists only of the two primes $2$ and $3$ we use continued fractions to find all such positive integers $n$.
2016 ◽
Vol 12
(07)
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pp. 1725-1732
2007 ◽
Vol 50
(3)
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pp. 563-569
2019 ◽
Vol 2019
(753)
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pp. 89-135
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Keyword(s):
2017 ◽
Vol 13
(05)
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pp. 1083-1094
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2006 ◽
Vol 02
(03)
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pp. 455-468
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Keyword(s):
Keyword(s):
1968 ◽
Vol 9
(2)
◽
pp. 83-86
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