Andrew O'Desky

activity

20172022

most citedSuper Vertex Algebras, Meromorphic Jacobi Forms and Umbral Moonshine

14 citations · 17 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.NT2020★ 2 cited

Derangements and the $p$ -adic incomplete gamma function

Andrew O'Desky, David Harry Richman

We introduce a $p$ -adic analogue of the incomplete gamma function. We also introduce quantities ( $m$ -values) associated to a function on natural numbers and prove a new characteriz…

math.NT2020

The moduli space of $G$ -algebras

Andrew O'Desky, Julian Rosen

Let $L$ be a Galois algebra with Galois group $G$ and let $x$ be a normal element of $L$ . The moduli space $X$ of pairs $(L, x)$ is isomorphic to an open subset of the quot…

math.NT2020★ 1 cited

Functions with integer-valued divided differences

Andrew O'Desky

Let $s_{0}, s_{1}, s_{2}, \dots$ be a sequence of rational numbers whose $m$ th divided difference is integer-valued. We prove that $s_{n}$ is a polynomial function in $n$ if $s_{n} ≪ θ^{n}$ fo…

math.NT2019

An induction property for prime counting functions

Andrew O'Desky

We provide an elementary proof of an asymptotic formula for prime counting functions. As a minor application we give a new reduction of the proof of Chebotarëv's density theorem to…

Derangements and the p-adic incomplete gamma function

The moduli space of G-algebras

Functions with integer-valued divided differences

An induction property for prime counting functions

Derangements and the $p$ -adic incomplete gamma function

The moduli space of $G$ -algebras