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math.NT2026
The Mean field equation on the Tate curve
Yaojia Sun
In this paper, we study the spectrum of the Laplacian on the Tate curve and construct the associated Green's function as a finite sum, which can be viewed as the non-Archimedean co…
math.NT2025
Green's function on the Tate curve
An Huang, Rebecca Rohrlich, Yaojia Sun +1
Motivated by the question of defining a -adic string worldsheet action in genus one, we define a Laplacian operator on the Tate curve, and study its Green's function. We show th…