Posts Tagged ‘function field’

A Strange Inequality.

thursday, december 9th, 2010

We show how to prove a number theoretic inequality, originating from geometry, using an elementary approach.

Infrastructures and Global Fields.

thursday, july 23rd, 2009

The following posts give an introduction to infrastructures and how to obtain these from global fields: The Discrete Logarithm Problem and Generalizations. One-dimensional Infrastructures. Interpreting One-dimensional Infrastructures as Groups: f-Representations. n-dimensional Infrastructures. How to Obtain Reduction Maps for n-dimensional Infrastructures. Obtaining Infrastructures from Global Fields. See also my article on infrastructures at Wikipedia.

Obtaining Infrastructures from Global Fields.

tuesday, july 21st, 2009

We show how to obtain n-dimensional infrastructures from global fields of unit rank n. We will also discuss how to obtain baby steps in these cases, and show graphical representations of certain two-dimensional infrastructures obtained from function fields.