Timeline for General solution of the quartic $a^4+b^4=c^4+d^4$?
Current License: CC BY-SA 4.0
21 events
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S Nov 7, 2023 at 14:01 | history | bounty ended | CommunityBot | ||
S Nov 7, 2023 at 14:01 | history | notice removed | CommunityBot | ||
Oct 30, 2023 at 13:01 | comment | added | David | @Daniel Loughran. Thanks for answering the question. I know my question has been up for some ten long days. I've put up a bounty so hopefully if there are more answer's I will get an option to select one. Right now, yours is the only single answer. Also, I appreciate the time & effort others have put into giving their comments. | |
S Oct 30, 2023 at 12:51 | history | bounty started | David | ||
S Oct 30, 2023 at 12:51 | history | notice added | David | Draw attention | |
Oct 28, 2023 at 14:30 | comment | added | Daniel Loughran | @David: I dont understand what you are asking. Can you please be more precise? If you have a separate question it may be good to ask a new one | |
Oct 28, 2023 at 11:59 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
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Oct 26, 2023 at 15:42 | comment | added | David | @Daniel Longhran, Portion of your previous comment is pasted here [ "To add to Silverman's remark: In the case, (x1)^d+(x2)^d=(x3)^d+(x4)^d, with d≥5, depending on one's viewpoint a "formal for a general solution" should indeed exist" ]. So what is view on exponent (d=4). With hindsight from the comments of Naom Elkies & Joe Silverman I think viewers would appreciate if they see a (part two) of your answer. | |
Oct 26, 2023 at 15:28 | comment | added | David | "To add to Silverman's remark: In the case (x1)^d+(x2)^d=(x3)^d+(x4)^d, with d≥5, depending on one's viewpoint a "formal for a general solution" should indeed exist" | |
Oct 21, 2023 at 21:29 | history | edited | David | CC BY-SA 4.0 |
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Oct 20, 2023 at 14:17 | history | edited | David | CC BY-SA 4.0 |
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Oct 19, 2023 at 23:50 | history | edited | YCor | CC BY-SA 4.0 |
rewrote title, added tag
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Oct 19, 2023 at 20:37 | answer | added | Daniel Loughran | timeline score: 17 | |
Oct 19, 2023 at 19:12 | comment | added | paul garrett | @sdr, I think you should make your comment an answer, perhaps with some further details! :) | |
Oct 19, 2023 at 18:24 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
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Oct 19, 2023 at 18:06 | comment | added | sdr | This degree 4 equation defines a K3 surface, which is not unirational (in contrast to the degree 3 case, where it is unirational). Basically by definition of "unirational," this means there's not a nice formula for the general solution of the type you are probably imagining. | |
Oct 19, 2023 at 17:12 | review | Close votes | |||
Oct 19, 2023 at 19:08 | |||||
Oct 19, 2023 at 16:51 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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Oct 19, 2023 at 16:03 | history | edited | Michael Hardy | CC BY-SA 4.0 |
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S Oct 19, 2023 at 15:52 | review | First questions | |||
Oct 19, 2023 at 18:04 | |||||
S Oct 19, 2023 at 15:52 | history | asked | David | CC BY-SA 4.0 |