Timeline for Robin's inequality for odd numbers
Current License: CC BY-SA 4.0
6 events
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Oct 16, 2022 at 23:51 | comment | added | Asanovic Tomas | I wonder tabout that condition that allows for p<n (or p<p' where p' is the largest prime in the canonical expression of n), if not for all collosally abundant number there exist p that doesn't divide n. | |
Oct 16, 2022 at 23:36 | comment | added | Will Jagy | @AsanovicTomas yes, sufficiently large $n.$ The overall pattern is that a counterexample to RH here must resemble a Colossally Abundant number; in particular have non-increasing exponents in the prime factorization, including no prime gaps. In brief, the product of primorials. | |
Oct 16, 2022 at 22:17 | comment | added | Asanovic Tomas | Thats interesting, That means for any p for n sufficiently large if p doesn't divide n, then n is under robins bound? For instance this recent article, theorem 3.2 would be your second claim. The rest of the claims I've never seen them. sciencedirect.com/science/article/pii/S0022247X14007069 | |
Oct 16, 2022 at 22:15 | vote | accept | Asanovic Tomas | ||
Oct 16, 2022 at 15:29 | history | edited | Will Jagy | CC BY-SA 4.0 |
added 676 characters in body
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Oct 16, 2022 at 15:11 | history | answered | Will Jagy | CC BY-SA 4.0 |