R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Dynamics of Continued Fractions and Conjecture of Mazur-Rubin
Jungwon Lee (Sorbonne Université)
Abstract:
Mazur and Rubin established several conjectural statistics for modular symbols. We show that the conjecture holds on average. We plan to introduce the approach based on spectral analysis of transfer operator associated to a certain skew-product Gauss map and consequent result on mod p non-vanishing of modular L-values with Dirichlet twists (joint with Hae-Sang Sun).
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