Sayak Sengupta

activity

20222024

collaborators

3 papers

math.NT2024

Nilpotent polynomials over $Z$

Sayak Sengupta

For a polynomial $u (x)$ in $Z [x]$ and $r \in Z$ , we consider the orbit of $u$ at $r$ denoted and defined by $O_{u} (r) := {u^{(n)} (r) ∣ n \in N}$ . Her…

math.NT2023

Locally nilpotent polynomials over $Z$

Sayak Sengupta

For a polynomial $u = u (x)$ in $Z [x]$ and $r \in Z$ , we consider the orbit of $u$ at $r$ denoted and defined by $O_{u} (r) := {u (r), u (u (r)), \dots}$ . We ask tw…

math.NT2022

Locally nilpotent polynomials over $Z$

Sayak Sengupta

For a polynomial $u (x)$ in $Z [x]$ and $r \in Z$ , we consider the orbit of $u (x)$ at $r$ , $O_{u} (r) := {u (r), u (u (r)), \dots}$ . We ask two questions here: (i)…

Nilpotent polynomials over Z

Locally nilpotent polynomials over Z

Locally nilpotent polynomials over Z

Nilpotent polynomials over $Z$

Locally nilpotent polynomials over $Z$

Locally nilpotent polynomials over $Z$