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math.NT2012★ 1 cited
Automorphy of Calabi-Yau threefolds of Borcea-Voisin type over Q
Yasuhiro Goto, Ron Livne, Noriko Yui
We consider Calabi-Yau threefolds of Borcea-Voisin type over Q. They are constructed from products of K3 surfaces and elliptic curves. We use concrete K3 surfaces and discuss the a…
math.NT2001
Designing communication networks via Hilbert modular forms
Ron Livné
We give an explicit version of the Ramanujan-Petersson Conjecture for Hilbert Modular Forms, and deduce the "Ramanujan" property for certain cubical complexes. We reinterpret the r…