# Rogers--Ramanujan computer searches

**Authors:** James Mc Laughlin, Andrew V. Sills, Peter Zimmer

arXiv: 1812.08222 · 2018-12-31

## TL;DR

This paper reports on three computer searches using different software that discovered new identities related to Rogers-Ramanujan type functions and false theta functions.

## Contribution

It introduces three computational methods that successfully identified new mathematical identities of Rogers-Ramanujan type and false theta functions.

## Key findings

- Discovered new Rogers-Ramanujan identities
- Found identities involving false theta functions
- Demonstrated effectiveness of computer searches in mathematical discovery

## Abstract

We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.

## Full text

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## References

41 references — full list in the complete paper: https://tomesphere.com/paper/1812.08222/full.md

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Source: https://tomesphere.com/paper/1812.08222