diff --git a/python/pyarrow/array.pyx b/python/pyarrow/array.pyx
index 6d63c3219312e..619e5ef7e3943 100644
--- a/python/pyarrow/array.pyx
+++ b/python/pyarrow/array.pyx
@@ -68,13 +68,8 @@ cdef class Array:
         values = array_format(self, window=10)
         return '{0}\n{1}'.format(type_format, values)
 
-    def __richcmp__(Array self, Array other, int op):
-        if op == cpython.Py_EQ:
-            return self.ap.Equals(other.sp_array)
-        elif op == cpython.Py_NE:
-            return not self.ap.Equals(other.sp_array)
-        else:
-            raise TypeError('Invalid comparison')
+    def equals(Array self, Array other):
+        return self.ap.Equals(other.sp_array)
 
     def __len__(self):
         if self.sp_array.get():
diff --git a/python/pyarrow/parquet.pyx b/python/pyarrow/parquet.pyx
index 78837a45988f8..1dcfd60bee67e 100644
--- a/python/pyarrow/parquet.pyx
+++ b/python/pyarrow/parquet.pyx
@@ -61,7 +61,7 @@ def write_table(table, filename, chunk_size=None):
     cdef shared_ptr[OutputStream] sink = shared_ptr[OutputStream](new LocalFileOutputStream(filename))
     cdef int64_t chunk_size_ = 0
     if chunk_size is None:
-        chunk_size_ = max(ctable_.num_rows(), int(2**16))
+        chunk_size_ = min(ctable_.num_rows(), int(2**16))
     else:
         chunk_size_ = chunk_size
 
diff --git a/python/pyarrow/tests/test_parquet.py b/python/pyarrow/tests/test_parquet.py
index ae9a75c0262fa..236f06ca69b7b 100644
--- a/python/pyarrow/tests/test_parquet.py
+++ b/python/pyarrow/tests/test_parquet.py
@@ -39,5 +39,5 @@ def test_single_pylist_column(tmpdir):
             assert col_read.data.num_chunks == 1
             data_written = col_written.data.chunk(0)
             data_read = col_read.data.chunk(0)
-            assert data_written == data_read
+            assert data_written.equals(data_read)