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math.NT2022
Span of Restriction of Hilbert Theta Functions
Gabriele Bogo, Yingkun Li
In this paper, we study the diagonal restrictions of certain Hilbert theta series for a totally real field , and prove that they span the corresponding space of elliptic modular…
math.NT2022
Ramanujan systems of Rankin-Cohen type and hyperbolic triangles
Gabriele Bogo, Younes Nikdelan
In the first part of the paper we characterize certain systems of first order nonlinear differential equations whose space of solutions is an -module.…