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Denominators of Egyptian fractions

✍ Scribed by Hisashi Yokota


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
474 KB
Volume
28
Category
Article
ISSN
0022-314X

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Let A k \*(n) be the number of positive integers a coprime to n such that the equation aΓ‚n=1Γ‚m 1 + } } } +1Γ‚m k admits a solution in positive integers (m 1 , ..., m k ). We prove that the sum of A 2 \*(n) over n x is both > >x log 3 x and also < <x log 3 x. For the corresponding sum where the a's ar