Odd unimodal sequeneces
Number Theory
2023-08-23 v1 Combinatorics
Abstract
In this paper we study odd unimodal and odd strongly unimodal sequences. We use -series methods to find several fundamental generating functions. Employing the Euler--Maclaurin summation formula we obtain the asymptotic main term for both types of sequences. We also find families of congruences modulo for the number of odd strongly unimodal sequences.
Cite
@article{arxiv.2308.11556,
title = {Odd unimodal sequeneces},
author = {Kathrin Bringmann and Jeremy Lovejoy},
journal= {arXiv preprint arXiv:2308.11556},
year = {2023}
}