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Hirschhorn, Michael D.

The Power of q

Hirschhorn, Michael D. - The Power of q, ebook

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ISBN: 9783319577623
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Table of contents

1. Introduction
Michael D. Hirschhorn

2. Jacobi’s Two-Squares and Four-Squares Theorems
Michael D. Hirschhorn

3. Ramanujan’s Partition Congruences
Michael D. Hirschhorn

4. Ramanujan’s Partition Congruences—A Uniform Proof
Michael D. Hirschhorn

5. Ramanujan’s Most Beautiful Identity
Michael D. Hirschhorn

6. Ramanujan’s Partition Congruences for Powers of 5
Michael D. Hirschhorn

7. Ramanujan’s Partition Congruences for Powers of 7
Michael D. Hirschhorn

8. Ramanujan’s 5-Dissection of Euler’s Product
Michael D. Hirschhorn

9. A “Difficult and Deep” Identity of Ramanujan
Michael D. Hirschhorn

10. The Quintuple Product Identity
Michael D. Hirschhorn

11. Winquist’s Identity
Michael D. Hirschhorn

12. The Crank of a Partition
Michael D. Hirschhorn

13. Two More Proofs of



Michael D. Hirschhorn

14. Partitions Where Even Parts Come in Two Colours
Michael D. Hirschhorn

15. The Rogers–Ramanujan Identities and the Rogers–Ramanujan ContinuedFraction
Michael D. Hirschhorn

16. The Series Expansion of the Rogers–Ramanujan Continued Fraction and Its Reciprocal
Michael D. Hirschhorn

17. The 2- and 4-Dissections of the Rogers–Ramanujan Continued Fraction and Its Reciprocal
Michael D. Hirschhorn

18. The Series Expansion of the Ramanujan–Göllnitz–Gordon Continued Fraction and Its Reciprocal
Michael D. Hirschhorn

19. Jacobi’s “aequatio identica satis abstrusa
Michael D. Hirschhorn

20. Two Modular Equations
Michael D. Hirschhorn

21. A Letter from Fitzroy House
Michael D. Hirschhorn

22. The Cubic Theta-Function Analogues of Borwein, Borwein and Garvan
Michael D. Hirschhorn

23. Some Classical Results on Representations
Michael D. Hirschhorn

24. Further Classical Results on Representations
Michael D. Hirschhorn

25. Further Results on Representations
Michael D. Hirschhorn

26. Even More Representation Results
Michael D. Hirschhorn

27. Representation Results and Lambert Series
Michael D. Hirschhorn

28. The Jordan–Kronecker Identity
Michael D. Hirschhorn

29. Melham’s Identities
Michael D. Hirschhorn

30. Partitions into Four Squares
Michael D. Hirschhorn

31. Partitions into Four Distinct Squares of Equal Parity
Michael D. Hirschhorn

32. Partitions with Odd Parts Distinct
Michael D. Hirschhorn

33. Partitions with Even Parts Distinct
Michael D. Hirschhorn

34. Some Identities Involving








Michael D. Hirschhorn

35. Some Useful Parametrisations
Michael D. Hirschhorn

36. Overpartitions
Michael D. Hirschhorn

37. Bipartitions with Odd Parts Distinct
Michael D. Hirschhorn

38. Overcubic Partitions
Michael D. Hirschhorn

39. Generalised Frobenius Partitions
Michael D. Hirschhorn

40. Some Modular Equations of Ramanujan
Michael D. Hirschhorn

41. Identities Involving




Michael D. Hirschhorn

42. Identities Involving




Michael D. Hirschhorn

43. Ramanujan’s Tau Function
Michael D. Hirschhorn

Keywords: Mathematics, Number Theory

Author(s)
Publisher
Springer
Publication year
2017
Language
en
Edition
1
Series
Developments in Mathematics
Page amount
22 pages
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319577623
Printed ISBN
978-3-319-57761-6

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