New proofs of the septic Rogers-Ramanujan identities
Hjalmar Rosengren
TL;DR
This paper presents novel proofs for twelve Rogers-Ramanujan-type identities related to moduli 7, 14, and 28, enhancing understanding of these classical q-series identities.
Contribution
The paper introduces new proofs for a set of twelve identities, providing alternative approaches to well-known Rogers-Ramanujan-type results.
Findings
New proofs of identities associated with moduli 7, 14, and 28
Enhanced understanding of Rogers-Ramanujan-type identities
Alternative proof techniques for classical q-series identities
Abstract
We give new proofs of the twelve Rogers-Ramanujan-type identities due to Rogers and Slater that are traditionally associated with the moduli 7, 14 and 28.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical functions and polynomials