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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