# Harmonic analysis in number theory

When I was reading Folland's A course in abstract harmonic analysis, I was told these materials have wonderful applications to number theory. However, I do not see really a lot of examples there.

Can someone give some references on the applications of harmonic analysis to number theory?

I am asking this question because I am trying to figure out what to do in my coming graduate years. I have learnt a lot analysis but I do not really like doing hard analysis all day, so maybe some application of analysis to other parts of mathematics suits me better.

Thanks so much!

• Fourier analysis on number fields is relevant to $L$-functions for instance. – anon Jul 25 '13 at 9:22
• I have only skimmed over it, but "Fourier Analysis on Number Fields" by Ramakrishnan and Valenza looks worth checking out. – Nils Matthes Jul 25 '13 at 11:20