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math.NT2020
On Sato--Tate distributions, extremal traces, and real multiplication in genus 2
David Kohel, Yih-Dar Shieh
The vertical Sato--Tate conjectures gives expected trace distributions for for families of curves. We develop exact expression for the distribution associated to degree- represe…
math.NT2016
Character theory approach to Sato-Tate groups
Yih-Dar Shieh
In this article, we propose to use the character theory of compact Lie groups and their orthogonality relations for the study of Frobenius distribution and Sato-Tate groups. The re…