Mutliplicative continued fractions
David Wilson
davidwwilson at comcast.net
Fri Jun 10 12:59:08 CEST 2005
Mitchell Harris noted that the continued fraction of sqrt(n) is
multiplicative for certain n (where the integer part of sqrt(n) is taken to
be a(0) and is ignored with regard to the multiplicativity of the sequence).
This begs two questions:
- For which n is sqrt(n) multiplicative as described above?
- When is a periodic sequence multiplicative?
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- David W. Wilson
"Truth is just truth -- You can't have opinions about the truth."
- Peter Schickele, from P.D.Q. Bach's oratorio "The Seasonings"
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