[seqfan] About conjectures of Simon Plouffe and Vaclav Kotesovec.
Peter Luschny
peter.luschny at gmail.com
Mon May 8 14:11:17 CEST 2023
Plouffe has conjectured the value of
Sum_{n>=1} sigma_(k)(n) / exp(2*Pi*n)
for various k > 0 in a series of contributions to the OEIS.
These culminated recently in a formula that can be understood
as a representation of the Bernoulli numbers.
Shortly after the publication of Plouffe's last contribution,
Kotesovec published a far-reaching generalization of these
observations in https://oeis.org/A362870 .
We gave a short summary on MSE:
https://math.stackexchange.com/questions/4694898/
Contributions are welcome, preferably on MSE.
Peter
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