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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…
Two results on Eisenstein part of homology and cohomology groups of Bianchi modular groups
Debargha Banerjee, Pranjal Vishwakarma
We explicitly write down the {\it Eisenstein cycles} in the first homology groups of quotients of the hyperbolic three spaces as linear combinations of Cremona symbols (a generaliz…
On the existence of Siegel modular forms with extra twists
Debargha Banerjee, Ronit Debnath
In this paper, we study Siegel modular forms with extra twists. We provide conditions on the level and genus of the forms that is necessary for the existence of extra twists for Si…
Two properties of symmetric cube transfers of modular forms
Debargha Banerjee, Tathagata Mandal, Sudipa Mondal
In this article, we study two important properties of transfers of the automorphic representation associated to a modular form. First we compute the conductor of…