Sayan Goswami

activity

20182025

most citedA combinatorial viewpoint on preserving notion of largeness and an abstract Rado theorem

2 citations · 3 across the 25 of their papers we have counts for

collaborators

Showing math.COShow all

25 papers · 1 filter

math.CO2025

The Interplay between Additive and Multiplicative Central Sets Theorems

Pintu Debnath, Sayan Goswami, Chunlin Liu

The concept of Central sets, introduced by Furstenberg through the framework of topological dynamics, has played a pivotal role in combinatorial number theory. Furstenberg's Centra…

math.CO2023

Combined exponential patterns in multiplicative $I P^{⋆}$ sets

Pintu Debnath, Sayan Goswami

$I P$ sets play fundamental role in arithmetic Ramsey theory. A set is called an additive $I P$ set if it is of the form $FS\left(\langle x_{n}\rangle_{n\in \mathbb{N}}\right)=\left\…

math.CO2022

Some remarks on Alweiss's technique and monochromatic configuration of the form ${x, y, x + y, x \cdot y}$ over Rationals

Sayan Goswami

In this article, we will explore a recent method of Alweiss \cite{key-1} using ultrafilter technique to study monochromatic partition regular structure of the form $\left\{ x,y,x+y…

math.CO2022

An improved threshold for the number of distinct intersections of intersecting families

Jagannath Bhanja, Sayan Goswami

A family $F$ of subsets of ${1, 2, \dots, n}$ is called a $t$ -intersecting family if $∣ F \cap G ∣ \geq t$ for any two members $F, G \in F$ and for some positive i…

math.CO2022

A note on distinct differences in $t$ -intersecting families

Jagannath Bhanja, Sayan Goswami

For a family $F$ of subsets of ${1, 2, \dots, n}$ , let $D (F) = {F ∖ G : F, G \in F}$ be the collection of all (setwise) differences…

math.CO2022

An inductive proof of the Bollobás two family theorem

Sayan Goswami

Inspired by the inductive proof of LYM-inequality given by P. Frankl, we provide an inductive proof of the Bollobás two family theorem.

The Interplay between Additive and Multiplicative Central Sets Theorems

Combined exponential patterns in multiplicative IP⋆ sets

Some remarks on Alweiss's technique and monochromatic configuration of the form {x,y,x+y,x⋅y} over Rationals

An improved threshold for the number of distinct intersections of intersecting families

A note on distinct differences in t-intersecting families

An inductive proof of the Bollobás two family theorem

Combined exponential patterns in multiplicative $I P^{⋆}$ sets

Some remarks on Alweiss's technique and monochromatic configuration of the form ${x, y, x + y, x \cdot y}$ over Rationals

A note on distinct differences in $t$ -intersecting families