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The Power of q

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Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
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    Chapter 2 Jacobi’s Two-Squares and Four-Squares Theorems
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    Chapter 3 Ramanujan’s Partition Congruences
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    Chapter 4 Ramanujan’s Partition Congruences—A Uniform Proof
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    Chapter 5 Ramanujan’s Most Beautiful Identity
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    Chapter 6 Ramanujan’s Partition Congruences for Powers of 5
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    Chapter 7 Ramanujan’s Partition Congruences for Powers of 7
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    Chapter 8 Ramanujan’s 5-Dissection of Euler’s Product
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    Chapter 9 A “Difficult and Deep” Identity of Ramanujan
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    Chapter 10 The Quintuple Product Identity
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    Chapter 11 Winquist’s Identity
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    Chapter 12 The Crank of a Partition
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    Chapter 13 Two More Proofs of $$p(11n+6)\equiv 0\pmod {11}$$ , and More
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    Chapter 14 Partitions Where Even Parts Come in Two Colours
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    Chapter 15 The Rogers–Ramanujan Identities and the Rogers–Ramanujan Continued Fraction
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    Chapter 16 The Series Expansion of the Rogers–Ramanujan Continued Fraction and Its Reciprocal
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    Chapter 17 The 2- and 4-Dissections of the Rogers–Ramanujan Continued Fraction and Its Reciprocal
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    Chapter 18 The Series Expansion of the Ramanujan–Göllnitz–Gordon Continued Fraction and Its Reciprocal
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    Chapter 19 Jacobi’s “aequatio identica satis abstrusa”
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    Chapter 20 Two Modular Equations
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    Chapter 21 A Letter from Fitzroy House
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    Chapter 22 The Cubic Theta-Function Analogues of Borwein, Borwein and Garvan
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    Chapter 23 Some Classical Results on Representations
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    Chapter 24 Further Classical Results on Representations
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    Chapter 25 Further Results on Representations
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    Chapter 26 Even More Representation Results
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    Chapter 27 Representation Results and Lambert Series
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    Chapter 28 The Jordan–Kronecker Identity
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    Chapter 29 Melham’s Identities
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    Chapter 30 Partitions into Four Squares
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    Chapter 31 Partitions into Four Distinct Squares of Equal Parity
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    Chapter 32 Partitions with Odd Parts Distinct
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    Chapter 33 Partitions with Even Parts Distinct
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    Chapter 34 Some Identities Involving $$\phi (q)$$ and $$\psi (q)$$
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    Chapter 35 Some Useful Parametrisations
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    Chapter 36 Overpartitions
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    Chapter 37 Bipartitions with Odd Parts Distinct
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    Chapter 38 Overcubic Partitions
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    Chapter 39 Generalised Frobenius Partitions
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    Chapter 40 Some Modular Equations of Ramanujan
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    Chapter 41 Identities Involving $$k=r(q)r(q^2)^2$$
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    Chapter 42 Identities Involving $$v=q^{\frac{1}{2}}(q, q^7;q^8)_\infty /(q^3,q^5;q^8)_\infty $$
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    Chapter 43 Ramanujan’s Tau Function
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    Chapter 44 Erratum to: The Power of q
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Title
The Power of q
Published by
Springer International Publishing, January 2017
DOI 10.1007/978-3-319-57762-3
ISBNs
978-3-31-957762-3, 978-3-31-957761-6
Authors

Michael D. Hirschhorn, Hirschhorn, Michael D.

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The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 100%
Readers by discipline Count As %
Computer Science 1 100%