Deepesh Singhal

activity

20192026

most citedDensity of Numerical sets associated to a Numerical semigroup

2 citations · 3 across the 18 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

Primes in denominators of algebraic numbers

Deepesh Singhal, Yuxin Lin

Denote the set of algebraic numbers as $Q$ and the set of algebraic integers as $Z$ . For $γ \in Q$ , consider its irreducib…

math.CO2022

The Expected Embedding Dimension, type and weight of a Numerical Semigroup

Nathan Kaplan, Deepesh Singhal

We study statistical properties of numerical semigroups of genus $g$ as $g$ goes to infinity. More specifically, we answer a question of Eliahou by showing that as $g$ goes to infi…

math.CO2022

Enumerating numerical sets associated to a numerical semigroup

April Chen, Nathan Kaplan, Liam Lawson +2

A numerical set $T$ is a subset of $N_{0}$ that contains $0$ and has finite complement. The atom monoid of $T$ is the set of $x \in N_{0}$ such that $x + T \subseteq T$ .…