23 citations · 44 across the 12 of their papers we have counts for
13 papers
Formal series of Jacobi forms
Hiroki Aoki, Tomoyoshi Ibukiyama, Cris Poor
We prove for general paramodular level that formal series of scalar Jacobi forms with an involution condition necessarily converge and are therefore the Fourier-Jacobi expansions a…
Eigenvalues and congruences for the weight paramodular nonlifts of levels , , and
Cris Poor, Jerry Shurman, David S. Yuen
We use Borcherds products to give a new construction of the weight paramodular nonlift eigenform for levels . We classify the congruences of to Grit…
Nonlift weight two paramodular eigenform constructions
Cris Poor, Jerry Shurman, David S. Yuen
We complete the construction of the nonlift weight two cusp paramodular Hecke eigenforms for prime levels N<600, which arise in conformance with the paramodular conjecture of Brume…
On the paramodularity of typical abelian surfaces (and reduction of G-covariant bilinear forms)
Armand Brumer, Ariel Pacetti, Cris Poor +3
Generalizing the method of Faltings-Serre, we rigorously verify that certain abelian surfaces without extra endomorphisms are paramodular. To compute the required Hecke eigenvalues…
Finding all Borcherds product paramodular cusp forms of a given weight and level
Cris Poor, Jerry Shurman, David S. Yuen
We present an algorithm to compute all Borcherds product paramodular cusp forms of a specified weight and level, describing its implementation in some detail and giving examples of…
Siegel Paramodular Forms of Weight 2 and Squarefree Level
Cris Poor, Jerry Shurman, David S. Yuen
We compute the space of weight Siegel paramodular cusp forms of squarefree level . In conformance with the paramodular conjecture of A. Brumer and K. Kramer,…