most citedp-adic Jacquet-Langlands correspondence and patching

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2019

On the -Pell equation

Erick Knight, Stanley Yao Xiao

Let , where is a primitive root of unity. In this paper we study the distribution of integers for which the norm equation $N_{K(\sqr…

math.NT2019

The negative Pell equation

Erick Knight, Stanley Yao Xiao

By applying methods recently developed by A. Smith with regards to Goldfeld's conjecture, we show that the density of square-free integers in for which the negative Pe…

math.NT2017★ 1 cited

p-adic Jacquet-Langlands correspondence and patching

Przemyslaw Chojecki, Erick Knight

We describe two candidates for a local p-adic Jacquet-Langlands correspondence and using patching we show that they are in fact isomorphic. We then study locally algebraic vectors…