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math.NT2024
A Shintani lift for rigid cocycles
Isabella Negrini
We construct a Shintani lift for rigid analytic cocycles of higher weight, attaching modular forms of half-integral weight to such cocycles. The expression for the Fourier coeffici…
math.NT2024
The quaternionic Maass Spezialschar on split
Jennifer Johnson-Leung, Finn McGlade, Isabella Negrini +2
The classical Maass Spezialschar is a Hecke-stable subspace of the space of holomorphic Siegel modular forms of genus two and level one cut out by certain linear relations among Fo…
math.NT2022
A Shimura-Shintani correspondence for rigid analytic cocycles of higher weight
Isabella Negrini
This paper takes the first steps towards a systematic study of additive rigid meromorphic cocycles of higher weight. These were introduced by Darmon and Vonk, who focused on multip…