Exact formula for 1-lower run overpartitions

Abstract

We are going to show an exact formula for lower $1$-run overpartitions. The generating function is of mixed mock-modular type with an overall weight $0.$ We will apply an extended version of the classical Circle Method. The approach requires bounding modified Kloosterman sums and Mordell integrals.

20 pages. Fixed many typos. Added additional references