Hirschhorn, Michael D.
The Power of q
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 14. Partitions Where Even Parts Come in Two Colours 15. The Rogers–Ramanujan Identities and the Rogers–Ramanujan ContinuedFraction 16. The Series Expansion of the Rogers–Ramanujan Continued Fraction and Its Reciprocal 17. The 2- and 4-Dissections of the Rogers–Ramanujan Continued Fraction and Its Reciprocal 18. The Series Expansion of the Ramanujan–Göllnitz–Gordon Continued Fraction and Its Reciprocal 19. Jacobi’s “ 20. Two Modular Equations 21. A Letter from Fitzroy House 22. The Cubic Theta-Function Analogues of Borwein, Borwein and Garvan 23. Some Classical Results on Representations 24. Further Classical Results on Representations 25. Further Results on Representations 26. Even More Representation Results 27. Representation Results and Lambert Series 28. The Jordan–Kronecker Identity 29. Melham’s Identities 30. Partitions into Four Squares 31. Partitions into Four Distinct Squares of Equal Parity 32. Partitions with Odd Parts Distinct 33. Partitions with Even Parts Distinct 34. Some Identities Involving 35. Some Useful Parametrisations 36. Overpartitions 37. Bipartitions with Odd Parts Distinct 38. Overcubic Partitions 39. Generalised Frobenius Partitions 40. Some Modular Equations of Ramanujan 41. Identities Involving 42. Identities Involving 43. Ramanujan’s Tau Function Avainsanat: Mathematics, Number Theory
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
Michael D. Hirschhorn
- Tekijä(t)
- Hirschhorn, Michael D.
- Julkaisija
- Springer
- Julkaisuvuosi
- 2017
- Kieli
- en
- Painos
- 1
- Sarja
- Developments in Mathematics
- Sivumäärä
- 22 sivua
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9783319577623
- Painetun ISBN
- 978-3-319-57761-6