Arkabrata Ghosh

activity

20242026

most citedOn the Family of Elliptic Curves

y^{2} = x^{3} - 5 pq x

1 citations · 1 across the 8 of their papers we have counts for

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math.CO2024

The interplay between additive and symmetric large sets and their combinatorial applications

Arkabrata Ghosh, Sayan Goswami, Sourav Kanti Patra

The study of symmetric structures is a new trend in Ramsey theory. Recently in [7], Di Nasso initiated a systematic study of symmetrization of classical Ramsey theoretical results,…

math.NT2024

A necessary condition for $2 p$ to be congruent for a prime $p \equiv 5 (mod 8)$

Arkabrata Ghosh

In this article, we consider primes $p \equiv 5 (mod 8)$ and are able to prove that $p \equiv 5 (mod 16)$ if $2 p$ is a congruent number.

math.NT2024

On the family of elliptic curves $y^{2} = x^{3} - m^{2} x + (pq r)^{2}$

Arkabrata Ghosh

In this article, we consider a family of elliptic curves defined by $E_{m} : y^{2} = x^{3} - m^{2} x + (pq r)^{2}$ where $m$ is a positive integer and $p, q, and r$ are distinct odd…

The interplay between additive and symmetric large sets and their combinatorial applications

A necessary condition for 2p to be congruent for a prime p≡5(mod8)

On the family of elliptic curves y2=x3−m2x+(pqr)2

A necessary condition for $2 p$ to be congruent for a prime $p \equiv 5 (mod 8)$

On the family of elliptic curves $y^{2} = x^{3} - m^{2} x + (pq r)^{2}$