Commit 2021-06-22 12:45 94a80738
View on Github →feat(analysis/specific_limits): summability of (λ i, 1 / m ^ f i)
(#8023)
This PR shows the summability of the series whose i
th term is 1 / m ^ f i
, where 1 < m
is a fixed real number and f : ℕ → ℕ
is a function bounded below by the identity function. While a function eventually bounded below by a constant at least equal to 2 would have been enough, this specific shape is convenient for the Liouville application.
I extracted this lemma, following the discussion in PR #8001.