8 citations · 17 across the 5 of their papers we have counts for
5 papers
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…
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,…
Using Katsurada's Determination of the Eisenstein Series to Compute Siegel Eigenforms
Oliver D. King, Cris Poor, Jerry Shurman +1
We compute Hecke eigenform bases of spaces of level one, degree~three Siegel modular forms and 2-Euler factors of the eigenforms through weight 22. Our method uses the Fourier coef…