3 papers
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.CV2018
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…