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On the absolute value of Ramanujan's τ-function

✍ Scribed by P. D. T. A. Elliott; C. J. Moreno; F. Shahidi

Publisher
Springer
Year
1984
Tongue
English
Weight
175 KB
Volume
266
Category
Article
ISSN
0025-5831

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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)Â2 + } } } . Moreover, he listed explicit closed formulas for F 2