The next talk in the Topics in Special Functions and Number Theory seminar is by Ali Uncu. This talk will again be on zoom. In case you wish to try out the software before the talk, please get in touch with one of the organizers. Further, requests for links should be made well before time. Some people did not get the link in time. In case you wish to be placed in the mailing list, please send an email to sfandnt@gmail.com.
Title: The Mathematica package qFunctions for q-series and partition theory applications
UPDATE: Please visit https://akuncu.com/qfunctions/ for a version of this talk (video) and materials mentioned in the talk.
Speaker: Ali Uncu, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria
When: Thursday, July 16, 2020, 2:55 PM - 4:00 PM IST (GMT+5:30)
Where: On zoom (link available on request). Please write to sfandnt@gmail.com for the link a few hours before the talk.
Tea or Coffee: Please bring your own.
Abstract
In this talk, I will demonstrate the new Mathematica package qFunctions while providing relevant mathematical context. This implementation has symbolic tools to automate some tedious and error-prone calculations and it also includes some other functionality for experimentation. We plan to highlight the four main tool-sets included in the qFunctions package:
(1) The q-difference equation (or recurrence) guesser and some formal manipulation tools,
(2) the treatment of 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 talk is based on joint work with Jakob Ablinger (RISC).
Title: The Mathematica package qFunctions for q-series and partition theory applications
UPDATE: Please visit https://akuncu.com/qfunctions/ for a version of this talk (video) and materials mentioned in the talk.
Speaker: Ali Uncu, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria
When: Thursday, July 16, 2020, 2:55 PM - 4:00 PM IST (GMT+5:30)
Where: On zoom (link available on request). Please write to sfandnt@gmail.com for the link a few hours before the talk.
Tea or Coffee: Please bring your own.
Abstract
In this talk, I will demonstrate the new Mathematica package qFunctions while providing relevant mathematical context. This implementation has symbolic tools to automate some tedious and error-prone calculations and it also includes some other functionality for experimentation. We plan to highlight the four main tool-sets included in the qFunctions package:
(1) The q-difference equation (or recurrence) guesser and some formal manipulation tools,
(2) the treatment of 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 talk is based on joint work with Jakob Ablinger (RISC).
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