Quantum modularity of partial theta series with periodic coefficients
We explicitly prove the quantum modularity of partial theta series with even or odd periodic
coefficients. As an application, we show that the Kontsevich–Zagier series ℱ t(q) which …
coefficients. As an application, we show that the Kontsevich–Zagier series ℱ t(q) which …
Quantum q-series and mock theta functions
A Folsom, D Metacarpa - Research in the Mathematical Sciences, 2024 - Springer
Our results investigate mock theta functions and quantum modular forms via quantum q-
series identities. After Lovejoy, quantum q-series identities are such that they do not hold as …
series identities. After Lovejoy, quantum q-series identities are such that they do not hold as …
Quantum modular forms and singular combinatorial series with distinct roots of unity
A Folsom, MJ Jang, S Kimport, H Swisher - Research Directions in …, 2019 - Springer
Understanding the relationship between mock modular forms and quantum modular forms is
a problem of current interest. Both mock and quantum modular forms exhibit modular-like …
a problem of current interest. Both mock and quantum modular forms exhibit modular-like …
Overpartition ranks and quantum modular forms
AM Dietrich, A Folsom, K Ng, C Stewart… - Research in Number …, 2022 - Springer
For each d∈ N, we establish an infinite family of weight 1/2 quantum modular forms from the
overpartition M d-rank generating function. Infinite quantum families from both the Dyson …
overpartition M d-rank generating function. Infinite quantum families from both the Dyson …
An analogue of -marked Durfee symbols for strongly unimodal sequences
S Ammons, YJ Kim, L Seaberg, H Swisher - arXiv preprint arXiv …, 2020 - arxiv.org
In a seminal 2007 paper, Andrews introduced a class of combinatorial objects that
generalize partitions called $ k $-marked Durfee symbols. Multivariate rank generating …
generalize partitions called $ k $-marked Durfee symbols. Multivariate rank generating …