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Results tagged with co.combinatorics
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user 115255
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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On two types of shifted symmetric power sums
In the ring of shifted symmetric functions $\Lambda^*$ there are many ways to generalize the symmetric power sums. First of all, we have the functions $$p^*_k=\sum_{i=1} \left((x_i-i+1/2)^k-(-i+1/2)^k …
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On two types of shifted symmetric power sums
The answer to this question is precisely given by the Gromov-Witten/Hurwitz correspondence by Okounkov and Pandharipande (see https://arxiv.org/abs/math/0204305). Up to the constant $(1-2^{-k})\zeta(- …