Undergrad Category Theory and the Riemann Hypothesis

[Swamp Thing]

YouTube has been suggesting videos about category theory of late, and I have spent some time skimming through them, without really understanding where it's all going.

A question came to mind, namely:
It seems reasonably conceivable that group theory could perhaps supply a vital key to the Riemann Hypothesis. In a similar sense, is it plausible that a unique and crucial key to the RH might come from category theory? Or is it the case that "category theory just doesn't do that stuff" ?

 

[fresh_42]

Category theory just doesn't do that stuff.

It looks for patterns which are common across different categories regardless their specific definitions. I do not see any connection between RH and group theory, not do I between RH and category theory. The questions are quite diametrical: prove a certain property of a certain complex function versus which properties have groups, rings, modules, and sets in common?

 

[r731]

It would be interesting to note that differentiation can be used as an operator for functions of R, while integrating the operand would mean taking the inverse of the operand.