jonathanraiman/mathsthesiswrlattices

:crystal_ball: Study the Zeta function over well-rounded lattices with Python

Well Rounded Lattices in the Plane

Python code to study the Zeta function on well-rounded lattices and create MatLab style plots (matplotlib).

Uses numpy to crunch numbers and ruby to do some file renaming.

contributors Jonathan Raiman

special thanks Lenny Fukshansky (Thesis advisor).

Use

In your python REPL run

import zeta_function.py as zp

and then you can access functions such as:

zp.compare_det_lattices(1, 10)

to obtain the zeta function for that particular lattice.

You can also do:

zp.plot_zeta_function(1, 10)

to get a MatLab styled matplotlib output of the zeta function over different minimal norms and different Zeta function exponents.

Finally a randomized function can also be useful:

zp.random_zeta_function(2, 1000) # or 10,000,000?