Timeline for Are there any connections between $a$ and $c$ where $p = a^2 + 2b^2 = c^2 + d^2$?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 2, 2022 at 7:02 | comment | added | Franz Lemmermeyer | Both $a + b \sqrt{-2}$ and $c + di$ are partial norms from ${\mathbb Z}[\zeta_8]$. For questions on Jacobi sums, the standard reference is the book by Berndt, Evans and Williams | |
| Mar 31, 2022 at 22:24 | comment | added | matt stokes | @GerryMyerson $Z$ is the index of 2 with respect to the primitive root $g$ mod $p$ (written in my second paragraph). | |
| Mar 31, 2022 at 12:05 | comment | added | Gerry Myerson | What do you mean by $v\equiv Z\bmod3$? | |
| Mar 31, 2022 at 9:56 | comment | added | Derek | Of course $a^2 + 2b^2 = c^2 + d^2$ iff $c^2 + 2(b-d)^2 = a^2 + (2b-d)^2$ | |
| Mar 31, 2022 at 6:13 | history | asked | matt stokes | CC BY-SA 4.0 |