Skip to main content

All Questions

Filter by
Sorted by
Tagged with
18 votes
1 answer
714 views

Is the p-adic density of the image of a polynomial always rational?

This question was previously posted here on MSE. Let $P(x)$ be a polynomial with integer coefficients, and let $p$ be a prime number. For $n\in\mathbb N$, let $I_n$ be the number of integers $i\in\{1,\...
8 votes
0 answers
895 views

Lemma in Scholze-Weinstein

In the paper "Moduli of $p$-divisible groups" by Scholze and Weinstein (see http://math.bu.edu/people/jsweinst/Moduli/Moduli.pdf), one finds the following claim in Lemma 5.2.7: Lemma: Let $K$ be a ...