Second moments of holomorphic Hilbert modular forms and subconvexity
Henry H. Kim (2011)
Acta Arithmetica
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Henry H. Kim (2011)
Acta Arithmetica
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Hiraoka, Yoshio (2000)
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Matija Kazalicki, Koji Tasaka (2014)
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Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings. ...
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