Asymptotic equidistribution for partition statistics and topological invariants
Number Theory
2021-12-08 v3
Abstract
We provide a general framework for proving asymptotic equidistribution, convexity, and log concavity of coefficients of generating functions on arithmetic progressions. Our central tool is a variant of Wright's Circle Method proved by two of the authors with Bringmann and Ono, following work of Ngo and Rhoades. We offer a selection of different examples of such results, proving asymptotic equidistribution results for several partition statistics, modular sums of Betti numbers of two- and three-flag Hilbert schemes, and the number of cells of dimension a (mod b) of a certain scheme central in work of G\"ottsche.
Keywords
Cite
@article{arxiv.2111.13766,
title = {Asymptotic equidistribution for partition statistics and topological invariants},
author = {Giulia Cesana and William Craig and Joshua Males},
journal= {arXiv preprint arXiv:2111.13766},
year = {2021}
}
Comments
17 pages, comments welcome! This version includes a missing citation