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math.NT2017
CM fields of Dyhedral type and the Colmez conjecture
Tonghai Yang, Hongbo Yin
In this paper, we consider some CM fields which we call of dihedral type and compute the Artin -functions associated to all CM types of these CM fields. As a consequence of this…
math.NT2017
Difference of modular functions and their CM value factorization
Tonghai Yang, Hongbo Yin
In this paper, we use Borcherds lifting and the big CM value formula of Bruinier, Kudla, and Yang to give an explicit factorization formula for the norm of $Ψ(\frac{d_1+\sqrt{d_1}}…
math.NT2017★ 3 cited
An explicit Gross-Zagier formula related to the Sylvester Conjecture
Yueke Hu, Jie Shu, Hongbo Yin
Let be a rational prime number such that is not a cubic residue. In this paper we prove the 3-part of the product of the full BSD conjectures for $E_p…