Partitions, q-Series, and Modular Forms

Editors:

ISBN: 978-1-4614-0027-1 (Print) 978-1-4614-0028-8 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii

  2. No Access

    Book Chapter

    Pages 1-12

    MacMahon’s Dream

  3. No Access

    Book Chapter

    Pages 13-21

    Ramanujan’s Elementary Method in Partition Congruences

  4. No Access

    Book Chapter

    Pages 23-38

    Coefficients of Harmonic Maass Forms

  5. No Access

    Book Chapter

    Pages 39-46

    On the Growth of Restricted Integer Partition Functions

  6. No Access

    Book Chapter

    Pages 47-52

    On Applications of Roots of Unity to Product Identities

  7. No Access

    Book Chapter

    Pages 53-68

    Lecture Hall Sequences, q-Series, and Asymmetric Partition Identities

  8. No Access

    Book Chapter

    Pages 69-81

    Generalizations of Hutchinson’s Curve and the Thomae Formulae

  9. No Access

    Book Chapter

    Pages 83-93

    On the Parity of the Rogers-Ramanujan Coefficients

  10. No Access

    Book Chapter

    Pages 95-144

    A Survey of Classical Mock Theta Functions

  11. No Access

    Book Chapter

    Pages 145-157

    An Application of Cauchy–Sylvester’s Theorem on Compound Determinants to a BC n -Type Jackson Integral

  12. No Access

    Book Chapter

    Pages 159-180

    Multiple Generalizations of q-Series Identities and Related Formulas

  13. No Access

    Book Chapter

    Pages 181-224

    Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n)