5 papers
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…
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…
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…
Estimates of the Bergman kernel on a hyperbolic Riemann surface of finite volume-II
Anilatmaja Aryasomayajula, Priyanka Majumder
In this article, we derive off-diagonal estimates of the Bergman kernel associated to the tensor-powers of the cotangent bundle defined on a hyperbolic Riemann surface of finite vo…
Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume
Anilatmaja Aryasomayajula, Priyanka Majumder
In this article, we derive off-diagonal estimates of the Bergman kernel associated to tensor- products of the cotangent line bundle defined over a hyperbolic Riemann surface of fin…