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Showing 1 to 1 of 1 for “"two-dimensional lattice sums"”.
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Identities involving theta functions and analogues of theta functions
… In Chapter 2, we analyze various generalized two-dimensional lattice sums, one of which arose from the solution to a certain Poisson equation. We evaluate certain lattice sums in closed form using results from Ramanujan's theory of theta functions, continued fractions and class invariants. …