https://mathoverflow.net/questions/508309/the-digits-of-frac1pn-in-base-nm
$\textbf{Motivation.}$ The purpose of this question is to try to express $\frac{1}{P(n)}$ in base $n+m$ for some monic polynomial $P(x)$. Define $C_k(f(x))$ to...
number theoryntdigitsfracp
https://mathoverflow.net/questions/508091/average-fractional-parts-over-ordered-factorizations-does-f-tx-n-tx-conve
Let, \begin{equation} K_t(X) = \{(k_1, k_2, ..., k_t) \text{ s.t. } k_i \geq 2 \text{ and } k_1 k_2 \cdot ... \cdot k_t \leq X\} \end{equation} Let $N_t(X)$...
number theoryntaveragepartsordered
https://mathoverflow.net/questions/508257/pointwise-bounds-for-an-alternating-weighted-fractional-part-sum-over-ordered-fa
Motivation: I'm working with a function that has its entire variation coming from the alternating weighted sum of fractional parts. $f(X, \delta) =...
number theoryntboundsweighted