The Mathematica package qFunctions for q-series and partition theory & applications

Abstract: In this talk we will demonstrate the new Mathematica package qFunctions while giving the relevant mathematical context. This implementation has symbolic tools that automate tedious and error-prone calculations and it can be used for experimentation.

We plan to highlight the four main tool-sets included in this symbolic computation package:
(1) the q-difference equation( or recurrence) guesser and the formal manipulation tools,
(2) the method of weighted words and automatically finding and uncoupling recurrences,
(3) a method on the cylindrical partitions to establish sum-product identities.
(4) Fitting polynomials with suggested well known objects to guess closed formulas.

This is joint work with Jakob Ablinger.