A motivated proof of Gordon’s identities
✍ Scribed by James Lepowsky, Minxian Zhu
- Book ID
- 118809260
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 487 KB
- Volume
- 29
- Category
- Article
- ISSN
- 1382-4090
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Elementary proofs for (1.1) and (1.2) due to Ramanujan can be found in , but it was not until 1969 that the first simple proof of (1.3) of the same nature as those for (1.1) and (1.2) was given by Winquist . Winquist found and proved an identity that played an essential role in proving (1.3), as Eul
can be easily proved by either induction, Binet's formula, or ([1, p. 80]) by taking determinants in In this paper we give a bijective proof, based upon the following combinatorial interpretation of the Fibonacci numbers. Proposition. Let A(n) = {(al, • • • , at); r >I O, ai = 1 or 2, a I +''' + a~