2 papers
math.NT2026
A necessary condition for a congruent number of the form
Shamik Das, Sudipa Mondal
A positive square-free integer is called a \textit{congruent number} if it arises as the area of a right triangle with rational side lengths. Let be a s…
math.NT2026
On certain root number cases of the cube sum problem
Shamik Das, Somnath Jha
We consider certain families of integers determined by some congruence condition, such that the global root number of the elliptic curve is fo…