diff --git a/bigframes/constants.py b/bigframes/constants.py
index 4778eb9c9e..9591297956 100644
--- a/bigframes/constants.py
+++ b/bigframes/constants.py
@@ -12,19 +12,19 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
-import datetime
-
 """Constants used across BigQuery DataFrames.
 
 This module should not depend on any others in the package.
 """
 
-FEEDBACK_LINK = (
-    "Share your usecase with the BigQuery DataFrames team at the "
-    "https://bit.ly/bigframes-feedback survey."
-)
+import datetime
+
+import bigframes_vendored.constants
 
-ABSTRACT_METHOD_ERROR_MESSAGE = f"Abstract method. You have likely encountered a bug. Please share this stacktrace and how you reached it with the BigQuery DataFrames team. {FEEDBACK_LINK}"
+FEEDBACK_LINK = bigframes_vendored.constants.FEEDBACK_LINK
+ABSTRACT_METHOD_ERROR_MESSAGE = (
+    bigframes_vendored.constants.ABSTRACT_METHOD_ERROR_MESSAGE
+)
 
 DEFAULT_EXPIRATION = datetime.timedelta(days=7)
 
diff --git a/bigframes/pandas/__init__.py b/bigframes/pandas/__init__.py
index dc9b847a9b..603f6678a5 100644
--- a/bigframes/pandas/__init__.py
+++ b/bigframes/pandas/__init__.py
@@ -652,8 +652,8 @@ def read_parquet(
 
 
 def remote_function(
-    input_types: Union[type, Sequence[type]],
-    output_type: type,
+    input_types: Union[None, type, Sequence[type]] = None,
+    output_type: Optional[type] = None,
     dataset: Optional[str] = None,
     bigquery_connection: Optional[str] = None,
     reuse: bool = True,
diff --git a/bigframes/session/__init__.py b/bigframes/session/__init__.py
index 07bb6ddce0..c953087b3e 100644
--- a/bigframes/session/__init__.py
+++ b/bigframes/session/__init__.py
@@ -1549,8 +1549,8 @@ def _ibis_to_temp_table(
 
     def remote_function(
         self,
-        input_types: Union[type, Sequence[type]],
-        output_type: type,
+        input_types: Union[None, type, Sequence[type]] = None,
+        output_type: Optional[type] = None,
         dataset: Optional[str] = None,
         bigquery_connection: Optional[str] = None,
         reuse: bool = True,
diff --git a/third_party/bigframes_vendored/constants.py b/third_party/bigframes_vendored/constants.py
new file mode 100644
index 0000000000..0d4a7d1df6
--- /dev/null
+++ b/third_party/bigframes_vendored/constants.py
@@ -0,0 +1,29 @@
+# Copyright 2023 Google LLC
+#
+# Licensed 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.
+
+"""Constants used across BigQuery DataFrames and bigframes_vendored.
+
+This module should not depend on any others in the package.
+"""
+
+FEEDBACK_LINK = (
+    "Share your usecase with the BigQuery DataFrames team at the "
+    "https://bit.ly/bigframes-feedback survey."
+)
+
+ABSTRACT_METHOD_ERROR_MESSAGE = (
+    "Abstract method. You have likely encountered a bug. "
+    "Please share this stacktrace and how you reached it with the BigQuery DataFrames team. "
+    f"{FEEDBACK_LINK}"
+)
diff --git a/third_party/bigframes_vendored/pandas/core/frame.py b/third_party/bigframes_vendored/pandas/core/frame.py
index 7d2e3b2cec..ba222fc8c3 100644
--- a/third_party/bigframes_vendored/pandas/core/frame.py
+++ b/third_party/bigframes_vendored/pandas/core/frame.py
@@ -13,12 +13,11 @@
 
 from typing import Hashable, Iterable, Literal, Mapping, Optional, Sequence, Union
 
+from bigframes_vendored import constants
 import bigframes_vendored.pandas.core.generic as generic
 import numpy as np
 import pandas as pd
 
-from bigframes import constants
-
 # -----------------------------------------------------------------------
 # DataFrame class
 
diff --git a/third_party/bigframes_vendored/pandas/core/generic.py b/third_party/bigframes_vendored/pandas/core/generic.py
index 54c876ef3c..95302e51b2 100644
--- a/third_party/bigframes_vendored/pandas/core/generic.py
+++ b/third_party/bigframes_vendored/pandas/core/generic.py
@@ -3,11 +3,10 @@
 
 from typing import Callable, Iterator, Literal, Optional, TYPE_CHECKING
 
+import bigframes_vendored.constants as constants
 from bigframes_vendored.pandas.core import indexing
 import bigframes_vendored.pandas.core.common as common
 
-import bigframes.constants as constants
-
 if TYPE_CHECKING:
     from bigframes_vendored.pandas.pandas._typing import T
 
diff --git a/third_party/bigframes_vendored/pandas/core/indexing.py b/third_party/bigframes_vendored/pandas/core/indexing.py
index 3c7f8a6c9f..a188c7197e 100644
--- a/third_party/bigframes_vendored/pandas/core/indexing.py
+++ b/third_party/bigframes_vendored/pandas/core/indexing.py
@@ -1,6 +1,6 @@
 # Contains code from https://github.com/pandas-dev/pandas/blob/main/pandas/core/indexing.py
 
-import bigframes.constants as constants
+import bigframes_vendored.constants as constants
 
 
 class IndexingMixin: