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!
Hugh L. Montgomery, Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis.