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