77 citations · 784 across the 49 of their papers we have counts for
47 papers · 1 filter
Rank deviations for overpartitions
Jeremy Lovejoy, Robert Osburn
We prove general fomulas for the deviations of two overpartition ranks from the average. These formulas are in terms of Appell--Lerch series and sums of quotients of theta function…
Resurgence, Habiro elements and strange identities
Samuel Crew, Veronica Fantini, Ankush Goswami +2
We prove resurgence properties for the Borel transform of a formal power series associated to elements in the Habiro ring that come from radial limits of partial theta series via s…
Asymptotics and sign patterns for coefficients in expansions of Habiro elements
Ankush Goswami, Abhash Kumar Jha, Byungchan Kim +1
We prove asymptotics and study sign patterns for coefficients in expansions of elements in the Habiro ring which satisfy a strange identity. As an application, we prove asymptotics…
A -multisum identity arising from finite chain ring probabilities
Jehanne Dousse, Robert Osburn
In this note, we prove a general identity between a -multisum and a sum of products of quotients of theta functions. The -multisum recently arose in t…
Quantum modularity of partial theta series with periodic coefficients
Ankush Goswami, Robert Osburn
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 $\mathscr{F}…
Variations of Andrews-Beck type congruences
Song Heng Chan, Renrong Mao, Robert Osburn
We prove three variations of recent results due to Andrews on congruences for , the total number of parts in the partitions of with rank congruent to modulo .…