Trigonometric sums and continued fractions with even partial quotients

Trigonometric sums and continued fractions with even partial quotients

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Francesco Cellarosi, Princeton University
Fine Hall 401

I will talk about the geometric features ("curlicues") of quadratic trigonometric sums and discuss how the renormalization of such sums is connected with continued fraction expansions with even partial quotients. I will also explain a recent renewal-time limit theorem for the sequence of denominators generated by such expansions.