jorisvandenbossche commented on a change in pull request #8145:
URL: https://github.com/apache/arrow/pull/8145#discussion_r497651925



##########
File path: docs/source/python/compute.rst
##########
@@ -0,0 +1,55 @@
+.. Licensed to the Apache Software Foundation (ASF) under one
+.. or more contributor license agreements.  See the NOTICE file
+.. distributed with this work for additional information
+.. regarding copyright ownership.  The ASF licenses this file
+.. to you under the Apache License, Version 2.0 (the
+.. "License"); you may not use this file except in compliance
+.. with the License.  You may obtain a copy of the License at
+
+..   http://www.apache.org/licenses/LICENSE-2.0
+
+.. Unless required by applicable law or agreed to in writing,
+.. software distributed under the License is distributed on an
+.. "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+.. KIND, either express or implied.  See the License for the
+.. specific language governing permissions and limitations
+.. under the License.
+
+.. currentmodule:: pyarrow.compute
+.. _compute:
+
+=================
+Compute Functions
+=================
+
+Arrow supports logical compute operations over inputs of possibly 
+varying types.  Many compute functions support both array (chunked or not) 
+and scalar inputs, but some will mandate either.  For example, 
+the ``fill_null`` function requires its second input to be a scalar, 
+while ``sort_indices`` requires its first and only input to
+be an array.
+
+Below are a few simple examples:
+
+   >>> import pyarrow as pa
+   >>> import pyarrow.compute as pc
+   >>> a = pa.array([1, 1, 2, 3])
+   >>> pc.sum(a)
+   <pyarrow.Int64Scalar: 7>
+   >>> b = pa.array([4, 1, 2, 8])
+   >>> pc.equal(a, b)
+   <pyarrow.lib.BooleanArray object at 0x7f686e4eef30>
+   [
+     false,
+     true,
+     true,
+     false
+   ]   
+   >>> x, y = pa.scalar(7.8), pa.scalar(9.3)
+   >>> pc.multiply(x, y)
+   <pyarrow.DoubleScalar: 72.54>
+
+
+.. seealso::
+   A comprehensive description of compute functions can be found in the 
+   C++ implementation docs.

Review comment:
       Is this a page in the docs we can link to?

##########
File path: docs/source/python/api/compute.rst
##########
@@ -0,0 +1,206 @@
+.. Licensed to the Apache Software Foundation (ASF) under one
+.. or more contributor license agreements.  See the NOTICE file
+.. distributed with this work for additional information
+.. regarding copyright ownership.  The ASF licenses this file
+.. to you under the Apache License, Version 2.0 (the
+.. "License"); you may not use this file except in compliance
+.. with the License.  You may obtain a copy of the License at
+
+..   http://www.apache.org/licenses/LICENSE-2.0
+
+.. Unless required by applicable law or agreed to in writing,
+.. software distributed under the License is distributed on an
+.. "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+.. KIND, either express or implied.  See the License for the
+.. specific language governing permissions and limitations
+.. under the License.
+
+.. _api.compute:
+.. currentmodule:: pyarrow
+
+Compute Functions
+=================
+
+Aggregations
+------------
+
+.. autosummary::
+   :toctree: ../generated/
+
+   count
+   mean
+   min_max
+   sum
+   mode

Review comment:
       This won't render the docstring here, but it will create a separate page 
for each of those functions and link to that from this table. 
   
   (the separate pages might be a bit overkill since the docstrings here are 
often not that informative yet, but it's indeed how we do it for other 
functions as well)




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