4 ms·
For those that are unaware this is one of the Millenium problems set by the Clay mathematical institute. Its proof carries a million dollar prize along with it.
by pg_bot 8y ago
For those that are unaware this is one of the Millenium problems set by the Clay mathematical institute. Its proof carries a million dollar prize along with it. If it holds up, this would be the second out of 7 to have been solved. An explanation of the problem can be found on the Numberphile youtube channel[0]
0: https://www.youtube.com/watch?v=d6c6uIyieoo https://www.youtube.com/watch?v=d6c6uIyieoo
- zwkrt 8y agoIf anyone else watched that video feeling they understood the "what" but not the "why" like me, let me try to give an explanation. The Riemann Zeta function is fundamentally the link between the counting numbers and the prime numbers. A striking (if unenlightening) showcase of this link is https://en.m.wikipedia.org/wiki/Proof_of_the_Euler_product_formula_for_the_Riemann_zeta_function https://en.m.wikipedia.org/wiki/Proof_of_the_Euler_product_f... . Counting numbers are the building blocks of addition and primes the building blocks of multiplication. The RH is important because most theorems in number theory pertain either to additive concepts or multiplicative concepts, but rarely both. In some sense there is a fundamental link between addition and multiplication that we still don't understand. One can see the collatz conjecture as a byproduct of this fact. A proof of RH would give insight to what this link is and give us a deeper understanding of why prime numbers seem so regular yet random.
- guicho271828 8y agoThat sounds also related to the ABC hypothesis that a crazy Japanese mathematician published a multi-thousand-page paper on it. Hopefully this clears the thing up in the messed up paper?