gh-38484: Eisenstein series: Small documentation improvement

    
Just some small documentation documentation.

### 📝 Checklist

- [x] The title is concise and informative.
- [x] The description explains in detail what this PR is about.
- [x] I have linked a relevant issue or discussion. (not aware of one)
- [x] I have created tests covering the changes. (no functional change)
- [x] I have updated the documentation and checked the documentation
preview.


--------



Depends on #38468  to test HTML
documentation generation. (But the dependency is not strict, the
relevant commits can be cherry-picked out.)
    
URL: #38484
Reported by: user202729
Reviewer(s): Travis Scrimshaw, user202729

src/sage/lfunctions/dokchitser.py

@@ -43,6 +43,9 @@ class Dokchitser(SageObject):
     r"""
     Dokchitser's `L`-functions Calculator.
 
+    PARI code can be found on
+    `Dokchitser's homepage <https://people.maths.bris.ac.uk/~matyd/computel>`_.
+
     Create a Dokchitser `L`-series with
 
     Dokchitser(conductor, gammaV, weight, eps, poles, residues, init,
@@ -153,7 +156,7 @@ class Dokchitser(SageObject):
 
     We redefine the default bound on the coefficients: Deligne's
     estimate on tau(n) is better than the default
-    coefgrow(n)=`(4n)^{11/2}` (by a factor 1024), so
+    coefgrow(n)= `(4n)^{11/2}` (by a factor 1024), so
     re-defining coefgrow() improves efficiency (slightly faster). ::
 
         sage: L.num_coeffs()
@@ -587,7 +590,7 @@ def taylor_series(self, a=0, k=6, var='z'):
 
         - ``a`` -- complex number (default: 0); point about which to expand
 
-        - ``k`` -- integer (default: 6); series is `O(``var``^k)`
+        - ``k`` -- integer (default: 6); series is `O(\texttt{var}^k)`
 
         - ``var`` -- string (default: ``'z'``); variable of power series
 

src/sage/modular/modform/eis_series.py

@@ -384,11 +384,12 @@ def eisenstein_series_lseries(weight, prec=53,
                               max_imaginary_part=0,
                               max_asymp_coeffs=40):
     r"""
-    Return the `L`-series of the weight `2k` Eisenstein series
+    Return the `L`-series of the weight `2k` Eisenstein series `E_{2k}`
     on `\SL_2(\ZZ)`.
 
     This actually returns an interface to Tim Dokchitser's program
-    for computing with the `L`-series of the Eisenstein series
+    for computing with the `L`-series of the Eisenstein series.
+    See :class:`~sage.lfunctions.dokchitser.Dokchitser`.
 
     INPUT:
 
@@ -400,18 +401,22 @@ def eisenstein_series_lseries(weight, prec=53,
 
     - ``max_asymp_coeffs`` -- integer
 
-    OUTPUT: the `L`-series of the Eisenstein series
+    OUTPUT: the `L`-series of the Eisenstein series. This can be
+    evaluated at argument `s`, or have
+    :meth:`~sage.lfunctions.dokchitser.Dokchitser.derivative` called, etc.
 
     EXAMPLES:
 
     We compute with the `L`-series of `E_{16}` and then `E_{20}`::
 
-       sage: L = eisenstein_series_lseries(16)
-       sage: L(1)
-       -0.291657724743874
-      sage: L = eisenstein_series_lseries(20)
-       sage: L(2)
-       -5.02355351645998
+        sage: L = eisenstein_series_lseries(16)
+        sage: L(1)
+        -0.291657724743874
+        sage: L.derivative(1)
+        0.0756072194360656
+        sage: L = eisenstein_series_lseries(20)
+        sage: L(2)
+        -5.02355351645998
 
     Now with higher precision::