Let $\sum_{n\ge0}a_n$ be a converging series of rational numbers. Assume that the sum of the series is a rational number $r$ and that there exist a prime $p$ that such for all $n\in\mathbb N$, $v_p(a_n)\ge0$ where $v_p$ is the $p$-adic valuation. My question: can one assert that $v_p(r)\ge0$? Tha...

Not too long ago - in March 2019 - some changes have been made to the Hot Network Questions (HNQ). Some of the new features are the limit on the number of hot questions from a single site, or limit on how long a question can be in the HNQ list. For more details, see the announcement on Meta Stack...