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math.NT2015★ 17 cited
On -adic Waldspurger formula
Yifeng Liu, Shouwu Zhang, Wei Zhang
In this article, we study -adic torus periods for certain -adic valued functions on Shimura curves coming from classical origin. We prove a -adic Waldspurger formula for t…
math.NT2015
On the Averaged Colmez Conjecture
Xinyi Yuan, Shou-Wu Zhang
The Colmez conjecture, proposed by Colmez, is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear combination of logarithmic derivatives of…