Timeline for Closed form expression for this zeta-like series involving GCD and LCM
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 20 at 14:17 | vote | accept | Alexandre | ||
| Aug 20 at 1:53 | history | became hot network question | |||
| Aug 19 at 22:56 | comment | added | GH from MO | I recommend using $\gcd$ for gcd, and $\mathrm{lcm}$ for lcm. The notations $\wedge$ and $\vee$ are nonstandard, hence should be avoided unless there is a compelling reason (e.g. the work focuses on lattice theoretic properties). | |
| Aug 19 at 22:15 | answer | added | Peter Humphries | timeline score: 4 | |
| Aug 19 at 21:43 | comment | added | Alexandre | We may also read it as follows: $$\frac{\frac{c}{d}\wedge\frac{m}{n}}{\frac{c}{d}\vee\frac{m}{n}} = \frac{cn\wedge dm}{cn\vee dm} $$ | |
| Aug 19 at 20:35 | comment | added | Alexei Entin | You can define gcd/lcm for fractional ideals, which in the case of Q correspond to positive rational numbers. | |
| Aug 19 at 19:11 | comment | added | Peter Humphries | The greatest common divisor and least common multiple are only defined for natural numbers, not for rational numbers. | |
| Aug 19 at 17:28 | history | asked | Alexandre | CC BY-SA 4.0 |