19 citations · 39 across the 14 of their papers we have counts for
14 papers
On existence of generalised Lehmer numbers modulo primes
Bikram Misra, Bidisha Roy, B. Sury
In this article, we discuss a multivariable analogue of Lehmer's parity problem. We generalise the notions of Lehmer numbers as Lehmer -tuples for a fixed odd prime . We coun…
Binary Cubic Forms and Rational Cube Sum Problem
Somnath Jha, Dipramit Majumdar, B. Sury
In this note, we use integral binary cubic forms to study the rational cube sum problem. We prove (unconditionally) that for any positive integer , infinitely many primes in eac…
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…