Elementary number theory in physics?

[pivoxa15]

Does elementary number theory have any applications in physics? If so how?

 

[mjsd]

quantum computing, quantum information theory (well, stictly speaking, that's just information theory but it is hot topics in physics right now)

 

[belliott4488]

There's a lot of overlap between number theory and symmetry, which is pretty central to Physics. There's a book called "Why Beauty is Truth" by Ian Stewart that traces the development of number theory and its various off-shoots with an eye to symmetry and how it applies in Physics. I recommend it to anyone interested in such things.