Sayan Dutta

collaborators

3 papers

math.NT2026

On the Sidon tails of ${⌊ x^{n} ⌋}$

Sayan Dutta

We prove that the tail of the sets $S_{x} := {⌊ x^{n} ⌋ : n \in N}$ are Sidon for almost all $x \in (1, 2)$ . Then we prove that for all $…

math.CO2026

The Greedy Algorithm for Dissociated Sets

Sayan Dutta

A set $S \subset N$ is said to be a subset-sum-distinct or dissociated if all of its finite subsets have different sums. Alternately, an equivalent classification i…

math.NT2025

The $m$ -th Element of a Sidon Set

R. Balasubramanian, Sayan Dutta

We prove that if $A = {a_{1}, \dots, a_{∣ A ∣}} \subset {1, 2, \dots, n}$ is a Sidon set so that $∣ A ∣ = n^{1/2} - L^{'}$ , then $$a_m = m\cdot n^{1/2} + \mathcal O\left( n^{7/8}\right) + \…

On the Sidon tails of {⌊xn⌋}

The Greedy Algorithm for Dissociated Sets

The m-th Element of a Sidon Set

On the Sidon tails of ${⌊ x^{n} ⌋}$

The $m$ -th Element of a Sidon Set