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Add code to compute p-adic polylogarithms, in particular, Li_n, based on the work of Besser and de Jeu ("Li(p)-service? An algorithm for computing p-adic polylogarithms").
CC: @sagetrac-frvillegas @xcaruso @kedlaya
Component: padics
Keywords: days71, sd87, days88
Author: Alex J. Best
Branch/Commit: 9a9b388
Reviewer: Aly Deines
Issue created by migration from https://trac.sagemath.org/ticket/20260
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Changed keywords from days71 to days71, sd87
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"body": "Description changed:\n``````diff\n--- \n+++ \n@@ -1 +1 @@\n-We plan to add code to compute p-adic polylogarithms, in particular, Li_n, based on the work of Besser and de Jeu (\"Li<sup>(p)</sup>-service? An algorithm for computing p-adic polylogarithms\").\n+Add code to compute p-adic polylogarithms, in particular, Li_n, based on the work of Besser and de Jeu (\"Li<sup>(p)</sup>-service? An algorithm for computing p-adic polylogarithms\").\n``````\n",
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Description changed:
---
+++
@@ -1 +1 @@
-We plan to add code to compute p-adic polylogarithms, in particular, Li_n, based on the work of Besser and de Jeu ("Li<sup>(p)</sup>-service? An algorithm for computing p-adic polylogarithms").
+Add code to compute p-adic polylogarithms, in particular, Li_n, based on the work of Besser and de Jeu ("Li<sup>(p)</sup>-service? An algorithm for computing p-adic polylogarithms").
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This has some trailing whitespace that should be removed.
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"body": "<div id=\"comment:8\" align=\"right\">comment:8</div>\n\n* You must not recreate the parent (by `K = Qp(p,prec)`) but instead write `K = self.parent().fraction_field()` (in order to keep the same modes)\n* You should compute once for all `K(self)` and give a name to it\n* Why are you using the name `_polylog_c` whereas your function is not written in C\n* Is that really useful to have three external functions (namely `_polylog_c`, `_findprec` and `_compute_g`); cannot we instead include them directly in the method `polylog`\n* Instead of\n\n```\n for x in K.teichmuller_system():\n if (self - x).valuation() > 0:\n zeta = x\n``` \nyou probably should write `zeta = K.teichmuller(x)`.",
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- You must not recreate the parent (by
K = Qp(p,prec)
) but instead writeK = self.parent().fraction_field()
(in order to keep the same modes) - You should compute once for all
K(self)
and give a name to it - Why are you using the name
_polylog_c
whereas your function is not written in C - Is that really useful to have three external functions (namely
_polylog_c
,_findprec
and_compute_g
); cannot we instead include them directly in the methodpolylog
- Instead of
for x in K.teichmuller_system():
if (self - x).valuation() > 0:
zeta = x
you probably should write zeta = K.teichmuller(x)
.
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You should put a real name into the Authors field (so it shows up like that in the change notes.)
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"body": "<div id=\"comment:11\" align=\"right\">comment:11</div>\n\nThanks for all the comments caruso, I have made many of the changes you suggested, we discussed this offline but for completeness of the ticket:\n\nRegarding the module functions, they are used in two of the public methods, so they cannot really be moved/removed, and the function _c is so named to be consistent with the paper of Besser-de Jeu I've tried to make that clearer in the docstring.\nThe way precision works has been made much better, the user no longer specifies a precision instead the best possible is chosen and it is up to the user to change their element to lower precision first if they want quicker evaluation.",
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Thanks for all the comments caruso, I have made many of the changes you suggested, we discussed this offline but for completeness of the ticket:
Regarding the module functions, they are used in two of the public methods, so they cannot really be moved/removed, and the function _c is so named to be consistent with the paper of Besser-de Jeu I've tried to make that clearer in the docstring. The way precision works has been made much better, the user no longer specifies a precision instead the best possible is chosen and it is up to the user to change their element to lower precision first if they want quicker evaluation.
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3655591 | Fix docstring |
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Branch pushed to git repo; I updated commit sha1. New commits:
1adce54 | made a lot of improvements suggested by roed and caruso |
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Branch pushed to git repo; I updated commit sha1. New commits:
33b4e87 | fix power series initialisation when tsl not an integer |
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"body": "<div id=\"comment:15\"></div>\n\nBranch pushed to git repo; I updated commit sha1. New commits:\n<table><tr><td><a href=\"https://github.com/sagemath/sagetrac-mirror/commit/aafb6f0f90fd897fc5a3003b4a766125ed38d5b2\"><code>aafb6f0</code></a></td><td><code>Merge branch 'develop' into padicpolylog</code></td></tr><tr><td><a href=\"https://github.com/sagemath/sagetrac-mirror/commit/afc8e211df6f1ca33bd285c25d8aff2d6f5c6712\"><code>afc8e21</code></a></td><td><code>Correct known precision in residue zero case</code></td></tr></table>\n",
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Branch pushed to git repo; I updated commit sha1. New commits:
aafb6f0 | Merge branch 'develop' into padicpolylog |
afc8e21 | Correct known precision in residue zero case |
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"body": "<div id=\"comment:16\" align=\"right\">comment:16</div>\n\nHi Alex,\nThis doesn't currently merge.\n\nI won't be able to look at this over the weekend, but I'll be at Sage Days 88 next week and should have a chance then.",
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Hi Alex, This doesn't currently merge.
I won't be able to look at this over the weekend, but I'll be at Sage Days 88 next week and should have a chance then.
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Branch pushed to git repo; I updated commit sha1. New commits:
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"body": "<div id=\"comment:18\" align=\"right\">comment:18</div>\n\nHi David, oops, hopefully it's fixed now.\nI'm pretty happy with the code right now, I've thrown a lot of tests at it and it looks to be working fine, so when you do get a chance more comments would be great!",
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Hi David, oops, hopefully it's fixed now. I'm pretty happy with the code right now, I've thrown a lot of tests at it and it looks to be working fine, so when you do get a chance more comments would be great!
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"body": "<div id=\"comment:19\" align=\"right\">comment:19</div>\n\nHi Alex, I found a couple typos in your documentation.\n* Rob De Jeu should be Rob de Jeu\n* Computation should be capitalized in Mathematics of Computation\n* Tate should be capitalized. \n* The year in the citation [DCW2015] should be 2016\n* In the polylog function, 'n'th the should be the `n`th\n* prop 6.1 should be Prop 6.1",
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Hi Alex, I found a couple typos in your documentation.
- Rob De Jeu should be Rob de Jeu
- Computation should be capitalized in Mathematics of Computation
- Tate should be capitalized.
- The year in the citation [DCW2015] should be 2016
- In the polylog function, 'n'th the should be the
n
th - prop 6.1 should be Prop 6.1
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Branch pushed to git repo; I updated commit sha1. New commits:
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Reviewer: Aly Deines
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"body": "<div id=\"comment:24\" align=\"right\">comment:24</div>\n\nSorry, I have another change. Everywhere the citation [DCW2016] is referenced, the 2015 needs to be changed to 2016. In particular:\n\n`2016.17 (2015): 5291-5354.`\n\nshould be\n\n`2016.17 (2016): 5291-5354.`\n\nThis occurs in two places.",
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Sorry, I have another change. Everywhere the citation [DCW2016] is referenced, the 2015 needs to be changed to 2016. In particular:
2016.17 (2015): 5291-5354.
should be
2016.17 (2016): 5291-5354.
This occurs in two places.
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"body": "<div id=\"comment:25\" align=\"right\">comment:25</div>\n\nNo problem, I like things to be as good/correct as possible!\nIn this instance I thought about it but was unsure what to do, if we look at https://academic.oup.com/imrn/article-abstract/2016/17/5291/2451667/Mixed-Tate-Motives-and-the-Unit-Equation?redirectedFrom=fulltext the journal issue is 2016 but date of publication listed as 2015, I don't know much about correct citation styles though.\nIf you still think it should be 2016 I will make it so!",
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No problem, I like things to be as good/correct as possible! In this instance I thought about it but was unsure what to do, if we look at https://academic.oup.com/imrn/article-abstract/2016/17/5291/2451667/Mixed-Tate-Motives-and-the-Unit-Equation?redirectedFrom=fulltext the journal issue is 2016 but date of publication listed as 2015, I don't know much about correct citation styles though. If you still think it should be 2016 I will make it so!
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Hmm. I was going off MathSciNet:
Dan-Cohen, Ishai(D-DUES2M); Wewers, Stefan(D-ULM-IPM)
Mixed Tate motives and the unit equation. (English summary)
Int. Math. Res. Not. IMRN 2016, no. 17, 5291–5354.
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48be838 | Change dates for references |
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MathSciNet is good enough for me, thanks!
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"body": "<div id=\"comment:30\" align=\"right\">comment:30</div>\n\nI removed some trailing whitespace in the references.\n\nIt looks good to me.\n\n---\nNew commits:\n<table><tr><td><a href=\"https://github.com/sagemath/sagetrac-mirror/commit/4b11445213e5bb93f1a516a693e6a7891c749f39\"><code>4b11445</code></a></td><td><code>Merge branch 'u/alexjbest/padicpolylog' of git://trac.sagemath.org/sage into t/20260/padicpolylog</code></td></tr><tr><td><a href=\"https://github.com/sagemath/sagetrac-mirror/commit/9a9b388da4af27e3276e23b806b7f92f2f0b8244\"><code>9a9b388</code></a></td><td><code>Removed trailing whitespace.</code></td></tr></table>\n",
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I removed some trailing whitespace in the references.
It looks good to me.
New commits:
4b11445 | Merge branch 'u/alexjbest/padicpolylog' of git://trac.sagemath.org/sage into t/20260/padicpolylog |
9a9b388 | Removed trailing whitespace. |
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