14 citations · 17 across the 5 of their papers we have counts for
6 papers
Polysymmetric functions and motivic measures of configuration spaces
Asvin G, Andrew O'Desky
We introduce a generalization of symmetric functions and apply the resulting theory to compute the class in the Grothendieck ring of varieties of the space of geometrically irreduc…
Derangements and the -adic incomplete gamma function
Andrew O'Desky, David Harry Richman
We introduce a -adic analogue of the incomplete gamma function. We also introduce quantities (-values) associated to a function on natural numbers and prove a new characteriz…
The moduli space of -algebras
Andrew O'Desky, Julian Rosen
Let be a Galois algebra with Galois group and let be a normal element of . The moduli space of pairs is isomorphic to an open subset of the quot…
Functions with integer-valued divided differences
Andrew O'Desky
Let be a sequence of rational numbers whose th divided difference is integer-valued. We prove that is a polynomial function in if fo…
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…
Super Vertex Algebras, Meromorphic Jacobi Forms and Umbral Moonshine
John F. R. Duncan, Andrew O'Desky
The vector-valued mock modular forms of umbral moonshine may be repackaged into meromorphic Jacobi forms of weight one. In this work we constructively solve two cases of the meromo…