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math.NT2023
Modular forms with non-vanishing central values and linear independence of Fourier coefficients
Debargha Banerjee, Priyanka Majumder
In this article, we are interested in modular forms with non-vanishing central critical values and linear independence of Fourier coefficients of modular forms. The main ingredient…
math.NT2022
The intersection matrices of and some applications
Debargha Banerjee, Priyanka Majumder, Chitrabhanu Chaudhuri
We compute intersection matrices for modular curves of the form with and as an application, we compute an asymptotic expression for the Arakelov self-int…
math.NT2022
Bounds for canonical Green's functions at cusps
Priyanka Majumder, Anna-Maria von Pippich
Let be a cofinite Fuchsian subgroup. The canonical Green's function associated with arises in Arakelov theory when establishing asymptotics for Arakelov invariants of the m…