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math.NT2018
Non-vanishing of Hilbert Poincaré series
Moni Kumari
We prove some non-vanishing results of Hilbert Poincaré series. We derive these results, by showing that the Fourier coefficients of Hilbert Poincaré series satisfy some nice ortho…
math.NT2018
Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms
Moni Kumari, M. Ram Murty
In this article, we give some results on simultaneous non-vanishing and simultaneous sign-changes for the Fourier coefficients of two modular forms. More precisely, given two modul…
math.NT2018
On the parity of the Fourier coefficients of hauptmoduln and
Moni Kumari, Sujeet Kumar Singh
We obtain some interesting results about the parity of the Fourier coefficients of hauptmoduln and for some positive integers . We use elementary meth…