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I didn't know problems in mathematics were subject to some lattice giving a definition of "biggest". Hilbert posed several nifty problems over 100 years ago, i

I didn't know problems in mathematics were subject to some lattice giving a definition of "biggest". Hilbert posed several nifty problems over 100 years ago, including pithy cool ones not unlike Riemann's zeroes. https://en.wikipedia.org/wiki/Hilbert%27s_problems https://en.wikipedia.org/wiki/Hilbert%27s_problems [ edited for my own typos ]

math_dandy 2y ago
In my mind, the justification for referring to RH as the “biggest” open problem in mathematics is its importance in numerous fields of mathematics. It’s hard to take three steps in analytic number theory without running into Riemann. Zeta functions — and with them RH — have transcended number theory and are fundamental objects of study in other mathematical fields, most prominently representation theory and the Langlands Program.
bawolff 2y ago
On the scale of clickbait headlines this is pretty minor. Riemann hypothesis is an important problem that has gathered a lot of attention over an extended period of time. Is it the biggest? Whose to say. It is at least up there in the list of major open problems. Its not like its an obscure problem by any means.
qarl 2y ago
Your complaint here is that vernacular English ("biggest") isn't as precise as mathematics?
- jjtheblunt 2y ago
  it was a joke. i get english just fine, am a native speaker, with a pure math degree.
  - qarl 2y ago
    I'm not criticizing your skill with English. I'm criticizing your surprise that English isn't as precise as mathematics.
    - galdosdi 2y ago
      It was a joke. We'll have to agree to disagree. Take care now.
      - qarl 2y ago
        Oh great. The crazy guy from the street corner is now following me. I'm so surprised. Stop harassing me you creepy fuck.
eindiran 2y ago
That Wiki page even has a section about the RH: > The Riemann hypothesis is noteworthy for its appearance on the list of Hilbert problems, Smale's list, the list of Millennium Prize Problems, and even the Weil conjectures, in its geometric guise. Although it has been attacked by major mathematicians of our day, many experts believe that it will still be part of unsolved problems lists for many centuries. Hilbert himself declared: "If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proved?"

math_dandy 2y ago

In my mind, the justification for referring to RH as the “biggest” open problem in mathematics is its importance in numerous fields of mathematics. It’s hard to take three steps in analytic number theory without running into Riemann. Zeta functions — and with them RH — have transcended number theory and are fundamental objects of study in other mathematical fields, most prominently representation theory and the Langlands Program.

bawolff 2y ago

On the scale of clickbait headlines this is pretty minor. Riemann hypothesis is an important problem that has gathered a lot of attention over an extended period of time. Is it the biggest? Whose to say. It is at least up there in the list of major open problems. Its not like its an obscure problem by any means.

qarl 2y ago

Your complaint here is that vernacular English ("biggest") isn't as precise as mathematics?

jjtheblunt 2y ago
it was a joke. i get english just fine, am a native speaker, with a pure math degree.
- qarl 2y ago
  I'm not criticizing your skill with English. I'm criticizing your surprise that English isn't as precise as mathematics.
  - galdosdi 2y ago
    It was a joke. We'll have to agree to disagree. Take care now.
    - qarl 2y ago
      Oh great. The crazy guy from the street corner is now following me. I'm so surprised. Stop harassing me you creepy fuck.

eindiran 2y ago

That Wiki page even has a section about the RH: > The Riemann hypothesis is noteworthy for its appearance on the list of Hilbert problems, Smale's list, the list of Millennium Prize Problems, and even the Weil conjectures, in its geometric guise. Although it has been attacked by major mathematicians of our day, many experts believe that it will still be part of unsolved problems lists for many centuries. Hilbert himself declared: "If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proved?"