Effective Cassels' p-adic embedding theorem for number fields

Speaker: 

Min Sha

Affiliation: 

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.

School Seminar Series: