Kummer’s Lemma and Cyclotomic Units

The attached link is a group project underwent in Analytic Number Theory class in Carleton College: Kummer. The course was offered by Rafe Jones in Winter 2014.

It proves Kummer’s Lemma, that is “Every unit of \mathbb{Z}[\zeta_p] is of the form of r\zeta_p^g where r \in \mathbb{R} and g \in \mathbb{Z}.” Plus, it introduces Cyclotomic units and presents an example.

Advertisements
Kummer’s Lemma and Cyclotomic Units

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s