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On the general Rogers-Ramanujan theorem

About this Title

George E. Andrews

Publication: Memoirs of the American Mathematical Society
Publication Year: 1974; Number 152
ISBNs: 978-0-8218-1852-7 (print); 978-0-8218-9953-3 (online)
DOI: https://doi.org/10.1090/memo/0152
MathSciNet review: 0364082
MSC: Primary 10A45; Secondary 05A17

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Table of Contents

Chapters

  • 1. Introduction
  • 2. General comments
  • 3. Outline of proof of Theorem 6.3
  • 4. The $q$-difference equations
  • 5. The auxiliary partition functions
  • 6. The general theorem for $a \geqq \lambda$
  • 7. Further auxiliary partition functions
  • 8. The general theorem
  • 9. Conclusion