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arXiv · 1108.4980

Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi

Bruce C. Berndt·George Lamb·Mathew Rogers
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Abstract

We evaluate in closed form, for the first time, certain classes of double series, which are remindful of lattice sums. Elliptic functions, singular moduli, class invariants, and the Rogers--Ramanujan continued fraction play central roles in our evaluations

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Bruce C. Berndt, George Lamb, Mathew Rogers. 2011-08-26. Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi. https://arxiv.org/abs/1108.4980

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