Timeline for On hypergeometric functions over finite fields
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 23, 2021 at 15:37 | comment | added | Peter Taylor | I tried brute-forcing for solutions of the form $q\,{{}_3F_2}(A,P,Q; \overline{A}P, \overline{A}Q; x)$, which seems to me to be the most obvious extension of the pattern. For $q=7$ only a third of the $A, C$ pairs have candidates, so (unless my code is buggy) there's no general solution of that form. | |
| Jun 22, 2021 at 16:31 | comment | added | Will Sawin | What kind of formula are you looking for? It can't be a ${}_2 F_1$ because those are sums of two Weil numbers and your sum is a sum of three Weil numbers. There's probably a ${}_3 F_2$ identity, but that sum is a bit more complicated than the Jacobi sum, so it's not clear what the utility of this would be. | |
| Jun 22, 2021 at 16:21 | history | edited | F. C. | CC BY-SA 4.0 |
minor typos fixed
|
| Jun 21, 2021 at 8:10 | history | edited | CNT | CC BY-SA 4.0 |
edited body
|
| Jun 21, 2021 at 8:05 | history | asked | CNT | CC BY-SA 4.0 |