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math.NT2018
A generalization of Mazur's theorem (Ogg's conjecture) for number fields
Debargha Banerjee, Narasimha Kumar, Dipramit Majumdar
In this article, we prove a generalization of a theorem (Ogg's conjecture) due to Bary Mazur for arbitrary and for {\it number fields}. The main new observation is a modi…
math.NT2018
On non-vanishing and sign changes of the Fourier coefficients of Hilbert cusp forms
Narasimha Kumar, Tarun Dalal
In this article, we study (simultaneous) non-vanishing, (simultaneous) sign changes of Fourier coefficients of (two) Hilbert cusp forms, respectively.
math.NT2018★ 1 cited
Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms
Surjeet Kaushik, Narasimha Kumar
In this article, we study the simultaneous sign changes of the Fourier coefficients of two Hilbert cusp forms of different integral weights. We also study the simultaneous non-vani…