A theta operator on Picard modular forms modulo an inert prime
classification
🧮 math.NT
math.AG
keywords
modularformsinertmodulooperatorpicardprimetheta
read the original abstract
We study the reduction of Picard modular surfaces modulo an inert prime, mod p and p-adic modular forms. We construct a theta operator on such modular forms and study its poles and its effect on Fourier-Jacobi expansions.
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