Asymptotic distribution of odd-balanced unimodal sequences with rank congruent to a mod c

Taylor Garnowski

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arXiv · 2106.10320

Asymptotic distribution of odd-balanced unimodal sequences with rank congruent to a mod c

Taylor Garnowski

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Abstract

We compute an asymptotic estimate for odd balanced unimodal sequences for ranks congruent to $a \pmod{c}$ for $c\neq 1$ odd. We find the interesting result that the odd balanced unimodal sequences are asymptotically related to the overpartition function. This is in contrast to strongly unimodal sequences which, are asymptotically related to the partition function.

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Taylor Garnowski. 2021-06-18. Asymptotic distribution of odd-balanced unimodal sequences with rank congruent to a mod c. https://arxiv.org/abs/2106.10320

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