# Polynomial Generalizations of two-variable Ramanujan type identities

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

arXiv: 1901.05328 · 2019-01-17

## TL;DR

This paper develops finite analogs of two-variable q-series identities from Ramanujan's lost notebook, expanding the understanding of these classical identities in a finite setting.

## Contribution

It introduces polynomial generalizations of Ramanujan's two-variable identities, providing new finite analogs and extending their applicability.

## Key findings

- Finite analogs of Ramanujan's identities are constructed.
- The identities are expressed as polynomial generalizations.
- Results deepen the understanding of q-series identities in finite forms.

## Abstract

We provide finite analogs of a pair of two-variable $q$-series identities from Ramanujan's lost notebook and a companion identity.

## Full text

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## References

22 references — full list in the complete paper: https://tomesphere.com/paper/1901.05328/full.md

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Source: https://tomesphere.com/paper/1901.05328