diff --git a/docs/source/install.md b/docs/source/install.md
index d5ea9858..7d9050b4 100644
--- a/docs/source/install.md
+++ b/docs/source/install.md
@@ -69,7 +69,7 @@
 ## Enabling traefik-proxy in JupyterHub
 
 
-[TraefikFileProviderProxy](https://github.com/jupyterhub/traefik-proxy/blob/Traefik_v2/jupyterhub_traefik_proxy/fileprovider.py), [TraefikEtcdProxy](https://github.com/jupyterhub/traefik-proxy/blob/Traefik_v2/jupyterhub_traefik_proxy/etcd.py) and [TraefikConsulProxy](https://github.com/jupyterhub/traefik-proxy/blob/Traefik_v2/jupyterhub_traefik_proxy/consul.py)  are custom proxy implementations that subclass [Proxy](https://github.com/jupyterhub/jupyterhub/blob/Traefik_v2/jupyterhub/proxy.py) and can register in JupyterHub config using `c.JupyterHub.proxy_class` entrypoint.
+[TraefikFileProviderProxy](https://github.com/jupyterhub/traefik-proxy/blob/traefik-v2/jupyterhub_traefik_proxy/fileprovider.py), [TraefikEtcdProxy](https://github.com/jupyterhub/traefik-proxy/blob/traefik-v2/jupyterhub_traefik_proxy/etcd.py) and [TraefikConsulProxy](https://github.com/jupyterhub/traefik-proxy/blob/traefik-v2/jupyterhub_traefik_proxy/consul.py)  are custom proxy implementations that subclass [Proxy](https://github.com/jupyterhub/jupyterhub/blob/traefik-v2/jupyterhub/proxy.py) and can register in JupyterHub config using `c.JupyterHub.proxy_class` entrypoint.
 
 On startup, JupyterHub will look by default for a configuration file, *jupyterhub_config.py*, in the current working directory. If the configuration file is not in the current working directory,
 you can load a specific config file and start JupyterHub using:
@@ -78,7 +78,7 @@ you can load a specific config file and start JupyterHub using:
 $ jupyterhub -f /path/to/jupyterhub_config.py
 ```
 
-There is an example configuration file [here](https://github.com/jupyterhub/traefik-proxy/blob/Traefik_v2/examples/jupyterhub_config.py) that configures JupyterHub to run with *TraefikEtcdProxy* as the proxy and uses dummyauthenticator and simplespawner to enable testing without administrative privileges.
+There is an example configuration file [here](https://github.com/jupyterhub/traefik-proxy/blob/traefik-v2/examples/jupyterhub_config.py) that configures JupyterHub to run with *TraefikEtcdProxy* as the proxy and uses dummyauthenticator and simplespawner to enable testing without administrative privileges.
 
 In *jupyterhub_config.py*:
 
diff --git a/jupyterhub_traefik_proxy/proxy.py b/jupyterhub_traefik_proxy/proxy.py
index 3a83be69..0a785e61 100644
--- a/jupyterhub_traefik_proxy/proxy.py
+++ b/jupyterhub_traefik_proxy/proxy.py
@@ -299,16 +299,15 @@ async def _setup_traefik_dynamic_config(self):
         self.log.info("Setting up traefik's dynamic config...")
         self._generate_htpassword()
         api_url = urlparse(self.traefik_api_url)
-        api_path = api_url.path if api_url.path else '/api'
-        api_credentials = "{0}:{1}".format(
-            self.traefik_api_username,
-            self.traefik_api_hashed_password
-        )
+        api_path = api_url.path if api_url.path else "/api"
+        api_credentials = f"{self.traefik_api_username}:" \
+                          f"{self.traefik_api_hashed_password}"
         self.dynamic_config.update({
             "http": {
                 "routers": {
                     "route_api": {
-                        "rule": f"Host(`{api_url.hostname}`) && (PathPrefix(`{api_path}`) || PathPrefix(`/dashboard`))",
+                        "rule": f"Host(`{api_url.hostname}`) && " \
+                                f"(PathPrefix(`{api_path}`) || PathPrefix(`/dashboard`))",
                         "entryPoints": ["enter_api"],
                         "service": "api@internal",
                         "middlewares": ["auth_api"]
diff --git a/jupyterhub_traefik_proxy/traefik_utils.py b/jupyterhub_traefik_proxy/traefik_utils.py
index 29bafcaa..297f1b94 100644
--- a/jupyterhub_traefik_proxy/traefik_utils.py
+++ b/jupyterhub_traefik_proxy/traefik_utils.py
@@ -13,7 +13,7 @@
 class KVStorePrefix(Unicode):
     def validate(self, obj, value):
         u = super().validate(obj, value)
-        # We'll join the prefix with e.g. prefix.join(pathspec),
+        # We'll join the prefix with e.g. "/".join(pathspec),
         # therefore always strip the trailing "/" from any prefix
         if u.endswith("/"):
             u = u.rstrip("/")
@@ -29,12 +29,11 @@ def generate_rule(routespec):
     routespec = unquote(routespec)
     if routespec.startswith("/"):
         # Path-based route, e.g. /proxy/path/
-        rule = "PathPrefix(`{0}`)".format(routespec)
+        rule = f"PathPrefix(`{routespec}`)"
     else:
         # Host-based routing, e.g. host.tld/proxy/path/
         host, path_prefix = routespec.split("/", 1)
-        path_prefix = "/" + path_prefix
-        rule = "Host(`{0}`) && PathPrefix(`{1}`)".format(host, path_prefix)
+        rule = f"Host(`{host}`) && PathPrefix(`/{path_prefix}`)"
     return rule