Problem 104

Cannot decipher...

The infinite product expression for $1/( 1 -t)$ is likely intended as a homology zeta function (see [1]).  L.-S. Young and J. Franks in [2] construct a $C^1$ diffeo of $D^2$ with one periodic point of period $2^n$ for each $n$.  They are all saddles and there are no other periodic points.  The homology zeta function for this example is$1/(1-t)$.  Possibly Rufus was asking if this could be done $C^2$. The case when the diffeo is $C^1$ was done in  [3].

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