# A partial theta function Borwein conjecture

## TL;DR

This paper introduces an infinite family of conjectures related to Borwein's conjecture, involving multiple basic hypergeometric series with Macdonald polynomial arguments, expanding the understanding of these mathematical structures.

## Contribution

It proposes new Borwein-type conjectures connected to hypergeometric series and Macdonald polynomials, advancing the theoretical framework in this area.

## Key findings

- Formulation of an infinite family of Borwein-type conjectures
- Connections established between hypergeometric series and Macdonald polynomials
- Potential implications for understanding basic hypergeometric series

## Abstract

We present an infinite family of Borwein type $+ - - $ conjectures. The expressions in the conjecture are related to multiple basic hypergeometric series with Macdonald polynomial argument.