Timeline for Titles composed entirely of math symbols
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 20, 2011 at 1:20 | comment | added | Charles | @Joseph: I think so, see oeis.org/A022566 . | |
| Jul 11, 2011 at 17:48 | comment | added | Gerhard Paseman | This gets my third vote. Gerhard "Email Me About System Design" Paseman, 2011.07.11 | |
| Jul 11, 2011 at 1:25 | comment | added | user9072 | Let me explain why this precise problems are considered: By a classical result of Hilbert (solving Waring's problem) every nonnegative integer is a sum of a fixed number of k-th nonnegative integral powers. (The fixed depends of course on the k). One can now ask what is the best 'fixed' for a given k. It turns out that small numbers cause most problems and one gets by (for given k) with a smaller number of k-th powers, if one just wants all sufficiently large integers as a sum. Now, this raises the question, what is the 'sufficiently large'. See en.wikipedia.org/wiki/Waring's_problem | |
| Jul 11, 2011 at 1:07 | comment | added | Joseph O'Rourke | I guess "the largest number not expressible as" offers several opportunities... | |
| Jul 11, 2011 at 0:59 | comment | added | user9072 | I think so. At the moment it is difficult for me to search literature. But in a similar spirit, it is known that 13792 is the largest number not expressible as a sum of 16 biquadrates; Deshouillers, Kawada, Wooley, Mém. Soc. Math. France 100, 2005. | |
| Jul 11, 2011 at 0:53 | comment | added | Joseph O'Rourke | Ha! Has their conjecture stood fast these past dozen years? (Abstract: "We conjecture that 7,373,170,279,850 is the largest integer which cannot be expressed as the sum of four nonnegative integral cubes.") | |
| Jul 11, 2011 at 0:29 | history | answered | user9072 | CC BY-SA 3.0 |