Publications and Preprints

 

 Notes on overlap estimates

 

 A generalization of the Farey index, in preparation.

 

(with J. Vaaler), The number of intermediate convergents to a real

number which have bounded height, in preparation.

 

(with J. Vaaler), Martingale differences and the metric theory of continued

fractions, Illinois Journal of Mathematics, to appear, 29 pp.

 

Tools and techniques in Diophantine approximation, Ph.D. thesis,

The University of Texas at Austin, 154 pp.

 

The distribution of special subsets of the Farey sequence,

J. Number Theory, 107 (2004), no.1, 95-104.

 

A note on Farey fractions with odd denominators,

J. Number Theory, 98 (2003), no.1, 89-104.

 

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