There is now a preliminary conjecture for the lower
order terms of the above article in the case of integral moments.
However, it would be interesting to have the lower order terms for fractional
moments as well. For example, we expect that
What would be the expected error term here? Are there more main terms?
It may not be unreasonable to guess that for this example there will be an
(infinite) asymptotic series of powers of so that
holds for any with some sequence of . Is there some way to
guess this answer? A good conjecture
could easily be tested numerically.
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