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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
-Selmer companion modular forms
Somnath Jha, Dipramit Majumdar, Sudhanshu Shekhar
The study of -Selmer group of elliptic curve over number field in recent past has led to the discovery of some deep results in the arithmetic of elliptic curves. Given two ellip…