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Circular Summation of the 13th Powers of Ramanujan's Theta Function

✍ Scribed by Kok Seng Chua

Book ID
110325740
Publisher
Springer US
Year
2001
Tongue
English
Weight
44 KB
Volume
5
Category
Article
ISSN
1382-4090

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πŸ“œ SIMILAR VOLUMES

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On the Circular Summation of the Eleventh Powers of Ramanujan's Theta Function
✍ Ken Ono πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 94 KB

Let f (a, b) denote Ramanujan's theta series. In his ``Lost Notebook'', Ramanujan claimed that the ``circular'' summation of n th powers of f satisfies a factorization of the form f (a n , b n ) F n (a n b n ) where F n (q)=1+2nq (n&1)Γ‚2 + } } } . Moreover, he listed explicit closed formulas for F 2