Abstract
Letf(a, b) denote Ramanujan's theta series. In his “Lost Notebook”, Ramanujan claimed that the “circular” summation ofnth powers offsatisfies a factorization of the formf(an, bn)Fn(anbn) whereFn(q)=1+2nq(n−1)/2+…. Moreover, he listed explicit closed formulas forF2,F3,F4,F5, andF7. Berndt and Son have asked for a similar expression for any otherFn. Here we obtain such an expression forF11(q).
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