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An Introduction to $q$-analysis

About this Title

Warren P. Johnson, Connecticut College, New London, CT

Publication: AMS Non-Series Monographs
Publication Year: 2020; Volume 134
ISBNs: 978-1-4704-5623-8 (print); 978-1-4704-6210-9 (online)
DOI: https://doi.org/10.1090/mbk/134

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Chapters

• Inversions
• $q$-binomial theorems
• Partitions I: Elementary theory
• Partitions II: Geometry theory
• More $q$-identities: Jacobi, Guass, and Heine
• Ramanujan’s $_1\psi _1$ summation formula
• Sums of squares
• Ramanujan’s congruences
• Some combinatorial results
• The Rogers-Ramanujan identities I: Schur
• The Rogers-Ramanujan identities II: Rogers
• The Rogers-Selberg function
• Bailey’s $_6\psi _6$ sum
• Appendix A. A brief guide to notation
• Appendix B. Infinite products
• Appendix C. Tannery’s theorem

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