Fix documentation for Drinfeld modules

[xcaruso]

We fix a couple of issues in the documentation of Drinfeld modules and replace everywhere \mathbb{F} by \GF.

📝 Checklist

• The title is concise and informative.
• The description explains in detail what this PR is about.
• I have linked a relevant issue or discussion.
• I have created tests covering the changes.
• I have updated the documentation and checked the documentation preview.

⌛ Dependencies

#40430

[user202729]

actually the command should be used as \GF{q}.

[xcaruso]

Oh sure, sorry!

[github-actions]

Documentation preview for this PR (built with commit 3a1fda2; changes) is ready! 🎉
This preview will update shortly after each push to this PR.

[kryzar]

Thanks for the ping.

First failure:

sage -t --warn-long 5.0 --random-seed=198424624499988108757496062634345889454 src/sage/doctest/forker.py  # 1 doctest failed
sage -t --warn-long 5.0 --random-seed=198424624499988108757496062634345889454 src/sage/rings/complex_arb.pyx  # 1 doctest failed
sage -t --warn-long 5.0 --random-seed=198424624499988108757496062634345889454 src/sage/rings/polynomial/plural.pyx  # SignalError in doctesting framework

Second one:

sage -t --warn-long 5.0 --random-seed=42030746900523727760028242117307027756 src/sage/doctest/util.py  # 4 doctests failed

Doc build: I manually went through all instances of rinfeld and Fail and there doesn't seem to be a problem related to our work. If anybody has a better method to check for actual bugs, feel free to jump in.

[user202729]

normally I'd want to check the documentation changes by looking at the generated HTML, but because of the dependencies, there are a lot of false positives. Combined with the fact that the HTML is slow to load and the PDF build is currently broken, I was thinking of looking at the HTML diff after the dependency is merged.

(the problem is incorrect rendering, not build failure.)

[user202729]

other example of incorrect formatting:

they're supposed to be a note block, not a raw code block.

the doc build won't warn you, you'd only notice that after looking at the HTML. (that said, I think this is existing issue rather than introduced by this PR, so is not an issue with this PR.)

[user202729]

two more bugs I found (although not introduced by this PR). I'd positive review afterwards.

diff --git a/src/sage/rings/function_field/drinfeld_modules/action.py b/src/sage/rings/function_field/drinfeld_modules/action.py
index 4962162424e..35408b09326 100644
--- a/src/sage/rings/function_field/drinfeld_modules/action.py
+++ b/src/sage/rings/function_field/drinfeld_modules/action.py
@@ -42,12 +42,12 @@ class DrinfeldModuleAction(Action):
     .. NOTE::
 
         The user should never explicitly instantiate the class
-        `DrinfeldModuleAction`.
+        :class:`DrinfeldModuleAction`.
 
     .. WARNING::
 
-        This class may be replaced later on. See issues #34833 and
-        #34834.
+        This class may be replaced later on. See :issue:`34833` and
+        :issue:`34834`.
 
     INPUT: the Drinfeld module
 
diff --git a/src/sage/rings/function_field/drinfeld_modules/charzero_drinfeld_module.py b/src/sage/rings/function_field/drinfeld_modules/charzero_drinfeld_module.py
index 594f8645ae1..02d0e998bde 100644
--- a/src/sage/rings/function_field/drinfeld_modules/charzero_drinfeld_module.py
+++ b/src/sage/rings/function_field/drinfeld_modules/charzero_drinfeld_module.py
@@ -486,7 +486,7 @@ class DrinfeldModule_rational(DrinfeldModule_charzero):
             sage: phi.coefficient_in_function_ring(2)
             T^2
 
-        Compare with the method meth:`coefficient`::
+        Compare with the method :meth:`coefficient`::
 
             sage: phi.coefficient(2)
             U^2

[kryzar]

Thanks very much for the fixes!