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math.NT2023
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…
math.NT2018
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…
math.NT2018
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…