79 citations · 416 across the 46 of their papers we have counts for
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Hypergeometric decomposition of symmetric K3 quartic pencils
Charles F. Doran, Tyler L. Kelly, Adriana Salerno +3
We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard--Fuchs…
Zeta functions of alternate mirror Calabi-Yau families
Charles F. Doran, Tyler L. Kelly, Adriana Salerno +3
We prove that if two Calabi-Yau invertible pencils have the same dual weights, then they share a common factor in their zeta functions. By using Dwork cohomology, we demonstrate th…
Automorphic forms for triangle groups
Charles F. Doran, Terry Gannon, Hossein Movasati +1
For triangle groups, the (quasi-)automorphic forms are known just as explicitly as for the modular group SL. We collect these expressions here, and then interpret them us…