Timeline for Representation of integers by positive definite ternary quadratic polynomials with linear terms
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 28, 2017 at 21:09 | vote | accept | Pavel Kozlov | ||
| Feb 28, 2017 at 14:20 | comment | added | Jeremy Rouse | Here's one more link. The paper by Shigeaki Tsuyumine here is about writing numbers as sums of three squares where congruences conditions are put on those squares. The main results of that paper imply that for sufficiently large $m$, there is a representation of $5m+6$ as $(5a+1)^2 + (5b+1)^2 + (5c+2)^2$. | |
| Feb 28, 2017 at 5:53 | comment | added | Pavel Kozlov | Jeremy, big thanks for your useful links! As for my example, completing the square does not work, because we have equation $5m+6=(5a+1)^2+(5b+1)^2+(5c+2)^2$, and elementary means do not clarify situation in that case, in contrary to, for example, the representation as sum of three triangular numbers. | |
| Feb 28, 2017 at 1:35 | history | answered | Jeremy Rouse | CC BY-SA 3.0 |