# Effective Cassels' p-adic embedding theorem for number fields

Min Sha

UNSW

## Date:

Wed, 08/10/2014 - 2:00pm

## Venue:

Red Centre M032, UNSW

## Abstract:

In 1976, Cassels showed that for any number field $K$, there exist infinitely many
primes $p$ such that $K$ can be embedded into the p-adic numbers $Q_p$. In this talk,
I will present some upper bounds for the least prime $p$ endowed with such property.
This is joint work with Artūras Dubickas and Igor E. Shparlinski.