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math.NT2023
A note on the trace formula
Eran Assaf
In this mostly expository note, we prove explicit formulas for the traces of Hecke operators on spaces of cusp forms fixed by Atkin-Lehner involutions, which are suitable for effic…
math.NT2023
A database of paramodular forms from quinary orthogonal modular forms
Eran Assaf, Watson Ladd, Gustavo Rama +2
We compute tables of paramodular forms of degree two and cohomological weight via a correspondence with orthogonal modular forms on quinary lattices.
math.AG2023
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen +8
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.