OVERPARTITIONS AND REAL QUADRATIC FIELDS 1. Introduction In 1988, Andrews, Dyson,
and Hickerson [2] studied the coefficient of q Page 1 OVERPARTITIONS AND REAL QUADRATIC …

First, we briefly survey Ramanujan's reciprocity theorem for a certain q‐series related to
partial theta functions and give a new proof of the theorem. Next, we derive generalizations …

An overpartition pair is a combinatorial object associated with the q-Gauss identity and the
1ψ1 summation. In this paper, we prove identities for certain restricted overpartition pairs …

Bailey pairs and indefinite quadratic forms - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Help Search My account Sign in View PDF Download full issue …

Andrews, Dyson, and Hickerson showed that 2$ q $-hypergeometric series, going back to
Ramanujan, are related to real quadratic fields, which explains interesting properties of their …

In this paper, we provide an asymptotic for the number of row-Fishburn matrices of size n
which settles a conjecture by Vit Jelínek. Additionally, using q-series constructions we …

Generalized Frobenius partitions or F-partitions have recently played an important role in
several combinatorial investigations of basic hypergeometric series identities. The goal of …

We prove two one-parameter q-series identities which specialize to four weighted partition
identities. Three of the weighted partition identities have coefficients which are divisor sums …

In the early 90's Andrews discussed a certain q-series whose coefficients are determined by
a twisted divisor function. We provide several other examples of this nature. All of these q …

Partitions with no repeated even parts (DE-partitions) are considered. A DE-rank for DE-
partitions is defined to be the integer part of half the largest part minus the number of even …