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math.NT2021
Cuspidal subgroups associated with non-rational Eisenstein maximal ideals
Debargha Banerjee, Narasimha Kumar, Dipramit Majumdar
In this paper, we are interested in the generalization of Ramanujan-like Eisenstein congruences (congruences between cusp forms and Eisenstein series) for congruence subgroups of t…
math.HO2021★ 1 cited
Fruit Diophantine Equation
Dipramit Majumdar, B. Sury
We show that the Diophantine equation given by X^3+ XYZ = Y^2+Z^2+5 has no integral solution. As a consequence, we show that the family of elliptic curve given by the Weierstrass e…
math.NT2021★ 3 cited
Cyclic Cubic Extensions of Q
Dipramit Majumdar, B. Sury
In this article we explicitly describe irreducible trinomials X^3-aX+b which gives all the cyclic cubic extensions of Q. In doing so, we construct all integral points (x,y,z) with…