I'm interested in analytic number theory and from what little I understand of it complex analysis will be more important than real analysis(measure theory). Thus I will be taking a year of graduate complex analysis this fall, however, I do also have the option of taking a year of graduate real analysis, but I would prefer not to for several reasons, so I was hoping someone could enlighten me on if a lot of measure theory and highbrow function space theory is really even that useful in analytic number theory, or if I can be content with tools drawn primarily from complex analysis and abstract algebra.(adsbygoogle = window.adsbygoogle || []).push({});

Edit: I guess I should clarify I will eventually get around to learning the topics covered in a standard graduate real analysis course, it just wont be right away, and I'm sure some of it will be crucial, I guess what I'm really asking is what types of analysis are the analytic number theorists finding to be their bread and butter.

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# What puts the analysis in analytic number theory?

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