Geodesic
Complex dimensions of self-similar fractal strings and Diophantine approximation.
Experimental mathematics, Tome 12 (2003) no. 1, pp. 41-69.

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Keywords: Dirichlet polynomial equations, self-similar strings, complex fractal dimension, diophantine approximation 
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     author = {Lapidus, Michel L. and van Frankenhuysen, Machiel},
     title = {Complex dimensions of self-similar fractal strings and {Diophantine} approximation.},
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Lapidus, Michel L.; van Frankenhuysen, Machiel. Complex dimensions of self-similar fractal strings and Diophantine approximation.. Experimental mathematics, Tome 12 (2003) no. 1, pp. 41-69. http://geodesic.mathdoc.fr/item/EXMA_2003__12_1_51255/