4 papers
On a conjecture of Andrews and almost alternating sign patterns
Jayashree Kalita, Debanjana Kundu, Matthias Storzer +1
In this paper, we prove a sign phenomenon first observed by Andrews for certain -series from Ramanujan's Lost Notebook. For three of the series considered by Andrews, namely $v_…
Bailey pairs, Eichler integrals and unified Witten-Reshetikhin-Turaev invariants
Jeremy Lovejoy, Robert Osburn, Matthias Storzer
In 1999, Lawrence and Zagier expressed the Witten-Reshetikhin-Turaev (WRT) invariant of the Poincaré homology sphere as the limiting value of the Eichler integral of a weight 3/2 m…
Generalized rank deviations for overpartitions
Kevin Allen, Robert Osburn, Matthias Storzer
We prove formulas for generalized rank deviations for overpartitions. These formulas are in terms of Appell-Lerch series and sums of quotients of theta functions and extend work of…
Arborescent links and modular tails
Robert Osburn, Matthias Storzer
We prove an explicit formula for the tail of the colored Jones polynomial for a class of arborescent links in terms of a product of theta functions and/or false theta functions. We…