A q-analogue of a formula of Hernandez obtained by inverting a result of Dilcher

Details A q-analogue of a formula of Hernandez obtained by inverting a result of Dilcher A q-analogue of a formula of Hernandez obtained by inverting a result of Dilcher

1999-07-06

arxiv.org/abs/math/9907029v1

Mathematics

Combinatorics

Scientific paper

We prove a q-analogue of the formula $ \sum_{1\le k\le n} \binom
nk(-1)^{k-1}\sum_{1\le i_1\le i_2\le... \le i_m=k}\frac1{i_1i_2... i_m} =
\sum_{1\le k\le n}\frac{1}{k^m} $ by inverting a formula due to Dilcher.

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