Timeline for Upper bounds for solutions to a Pell-like equation
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 11, 2016 at 2:54 | comment | added | Gerry Myerson | There's a nice paper by Lenstra, uni-oldenburg.de/fileadmin/user_upload/mathe/personen/… | |
| Dec 11, 2016 at 2:45 | comment | added | Gerry Myerson | Yamamoto cites the result, $h\log(x+y\sqrt N)<\sqrt N(\log\sqrt N+1)$ where $h$ is the class number, from which it follows that $\log(x+y\sqrt N)<\sqrt N(\log\sqrt N+1)$. The citation is L K Hua, On the least solution of Pell's equation, Bull Amer Math Soc 48 (1942) 731-735. The Hua paper is available at projecteuclid.org/euclid.bams/1183504769 | |
| Dec 11, 2016 at 2:41 | comment | added | Gerry Myerson | Oops. Back to the drawing board. | |
| Dec 11, 2016 at 2:37 | comment | added | Gerhard Paseman | So this is a form of lower bound. Do the papers talk about upper bounds? Gerhard "Upper Bounds Useful For Planning" Paseman, 2016.12.10. | |
| Dec 11, 2016 at 2:28 | history | answered | Gerry Myerson | CC BY-SA 3.0 |