29 citations · 32 across the 9 of their papers we have counts for
8 papers · 1 filter
Universal murmuration and Hecke augmentation
Shenghao Hua, Chung Pang Mok
Prime coefficients of elliptic curves exhibit murmurations, statistical patterns that support the prediction of arithmetic labels. We conjecture that root number weighted averages…
On discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generator
Ziran Liu, Chung Pang Mok
This paper studies the problem of discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generator, particularly in the non-translational cas…
On the Birch and Swinnerton-Dyer formula modulo squares for certain quadratic twists of elliptic curves
Alexander J. Barrios, Chung Pang Mok
Let be an elliptic curve with conductor , where and are coprime and is squarefree. Let be a positive fundamental discriminant satisfy…
Pseudorandomness of Sato-Tate Distributions for Elliptic Curves
Chung Pang Mok, Huimin Zheng
In this paper we propose conjectures that assert that, the sequence of Frobenius angles of a given elliptic curve over without complex multiplication is pseudorandom,…
On a theorem of Bertolini-Darmon about rationality of Stark-Heegner points over genus fields of real quadratic fields
Chung Pang Mok
In this paper, we remove certain hypothesis in the theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over narrow genus class fields of real quadratic fields. A…
A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups
Chung Pang Mok
We show that the cuspidal component of the stable trace formula of a special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We…
Overconvergent family of Siegel-Hilbert modular forms
Chung Pang Mok, Fucheng Tan
We construct one parameter families of overconvergent Siegel-Hilbert modular forms. In particular, for any classical Siegel-Hilbert modular eigenform one can find a rigid analytic…
Galois representations attached to automorphic forms on GL_2 over CM fields
Chung Pang Mok
In this paper we generalize the work of Harris-Soudry-Taylor and construct the compatible systems of two-dimensional Galois representations attached to cuspidal automorphic represe…