Mihir Mittal

collaborators

5 papers

math.LO2026

Almost-linear Zarankiewicz bounds in $1$ -semi-equational theories

Hongyi Gou, Mostafa Mirabi, Mihir Mittal +2

We study multipartite hypergraphs definable in $1$ -semi-equational theories and prove almost-linear Zarankiewicz bounds in every fixed arity $r \geq 2$ . If $T$ is a $1$ -semi-equation…

math.LO2026

On Zarankiewicz's bounds for valued vector spaces

Hongyi Gou, Mihir Mittal, Chieu-Minh Tran +1

We establish absolute and relative almost-linear Zarankiewicz bounds for semilinear relations in valued vector spaces. For every fixed arity and description complexity, a $K_{t,\ld…

math.RT2026

On Zeta functions and $μ$ -series of string algebras

Rohun Easwar, Amit Kuber, Mihir Mittal

Let $μ_{Λ} (t) := m \geq 1 \sum μ_{Λ} (m) t^{m}$ be the \emph{ $μ$ -series} of a finite-dimensional tame algebra $Λ$ over an algebraically closed field, where $μ_{Λ} (m)$ denotes th…

math.LO2024

Cantor-Schröder-Bernstein theorem for a class of countable linear orders

Suyash Srivastava, Mihir Mittal

The shuffle of a non-empty countable set $S$ of linear orders is the (unique up to isomorphism) linear order $Ξ (S)$ obtained by fixing a coloring function $ χ: \mathbb{Q} \to S…

math.LO2024

Exponentiable linear orders need not be transitive

Mihir Mittal, Amit Kuber

It is well-known that every transitive linear order is exponentiable. However, is the converse true? This question was posed in Chapter 8 of the textbook titled "Linear Orderings"…