Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

New proofs of the septic Rogers-Ramanujan identities

Hjalmar Rosengren

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.

New proofs of the septic Rogers-Ramanujan 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.
Paper Structure (4 sections, 10 theorems, 46 equations)

This paper contains 4 sections, 10 theorems, 46 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. The summations \ref{['ssa']}
  4. The summations \ref{['ssb']}

Key Result

Lemma 3.1

The following quartic transformation formulas hold:

Theorems & Definitions (15)

  • Lemma 3.1
  • proof
  • Corollary 3.2
  • Lemma 3.3
  • Corollary 3.4
  • proof
  • Lemma 3.5
  • proof
  • Corollary 3.6
  • Lemma 4.1
  • ...and 5 more