Odd unimodal sequeneces

Kathrin Bringmann; Jeremy Lovejoy

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arXiv · 2308.11556

Odd unimodal sequeneces

Kathrin Bringmann·Jeremy Lovejoy

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Abstract

In this paper we study odd unimodal and odd strongly unimodal sequences. We use $q$-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 $4$ for the number of odd strongly unimodal sequences.

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Kathrin Bringmann, Jeremy Lovejoy. 2023-08-22. Odd unimodal sequeneces. https://arxiv.org/abs/2308.11556

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