How Many Mathematicians Are Secretly Trying to Solve the Riemann Hypothesis?

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Discussion Overview

The discussion centers around the question of how many mathematicians are actively attempting to solve the Riemann Hypothesis (RH), exploring the motivations, definitions, and demographics of those involved in this mathematical challenge. It encompasses perspectives on both professional and amateur mathematicians and their engagement with the problem.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that many mathematicians secretly work on the Riemann Hypothesis in their spare time, as claimed by a professor.
  • Another participant questions the definition of "trying to solve" the hypothesis, noting that many fields contribute to understanding the zeta function, which may or may not qualify as direct attempts to solve RH.
  • A different viewpoint emphasizes interest in those directly tackling the problem rather than those making related contributions, raising the question of whether regular mathematicians engage with RH in their spare time.
  • One participant expresses skepticism about the generalization that most mathematicians are trying to solve RH.
  • Another participant posits that there may be more amateur mathematicians attempting to prove RH than professional mathematicians, suggesting that some amateurs believe they have succeeded despite being dismissed by the mathematical community.
  • A participant humorously claims to have solved the hypothesis easily, adding a light-hearted tone to the discussion.
  • A link to a webcomic referencing the topic is shared, indicating that the Riemann Hypothesis has cultural relevance beyond academic circles.

Areas of Agreement / Disagreement

Participants express differing views on the extent to which mathematicians, both professional and amateur, are engaged with the Riemann Hypothesis. There is no consensus on the definitions of "trying" or the actual number of individuals involved in solving the problem.

Contextual Notes

Limitations in the discussion include varying definitions of what constitutes "trying to solve" the Riemann Hypothesis and the ambiguity surrounding the motivations and seriousness of those involved.

nonequilibrium
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I once had a math professor who said that although they might not admit it, most mathematicians try to solve the Riemann hypothesis in their spare time.

How true is this? Who is trying to solve the Riemann hypothesis? I don't just mean "are you?" (although feel free to speak up if you are) but more generally: how big is the group that is trying to solve this? I suppose this strongly depends on how you define "trying"; I can imagine a lot of different levels of "trying it seriously".
 
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Define "trying to solve". There are entire fields of mathematics who's developments shed light on the zeta function, do the people working in those field qualify?
 
You can define it yourselves; I welcome answers from different perspectives.

I'd personally be more curious about people that are directly tackeling the problem, without "just" proving results about the zeta function in the hope it might be helpful for other people; on the other that might be the only way to go about it :)

And what about regular mathematicians; do they ever try? Even in their spare time (as claimed by my professor)? Does perhaps most, say, complex analysis mathematicians try to tackle it in their spare time (now and then)?
 
I think the statement might be a little too general IMO ;)
 
I'm willing to bet there are far more cranky amateurs trying to prove RH than there are professional mathematicians. Less cranks than was previously the case for the superficially far more accessible FLT, but still many.

Lots of these guys are even convinced they've succeeded, but "The Man" (the mathematical establishment) wants to keep them down and suppress their marvellous discovery for its own sinister reasons.
 
Right now I am deep in the Belly of the Beast... again. Count me in.
 
I've solved it, it was pretty easy.
 

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