19 citations · 39 across the 14 of their papers we have counts for
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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…
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…
Degrees of Faithful Irreducible Representations of Certain Metabelian Groups and a Question of Sim
Soham Swadhin Pradhan, B. Sury
In this paper, we answer affirmatively a question of H S Sim on representations in characteristic , for a class of metabelian groups. Moreover, we provide examples to point out…
Rational and Quasi-Permutation Representations of Holomorph of Cyclic p-Groups
Soham Swadhin Pradhan, B. Sury
For a finite group , let denote the minimal degree of a faithful permutation representation of . The minimal degree of a faithful representation of by quasi-permut…