Fix 13327. Remove explicit None arguments from futimes, futimens, futimesat,
and lutimes.
diff --git a/Doc/library/os.rst b/Doc/library/os.rst
index 76ad7e0..acd525b 100644
--- a/Doc/library/os.rst
+++ b/Doc/library/os.rst
@@ -872,8 +872,7 @@
    .. versionadded:: 3.3
 
 
-.. function:: futimesat(dirfd, path, (atime, mtime))
-              futimesat(dirfd, path, None)
+.. function:: futimesat(dirfd, path[, (atime, mtime)])
 
    Like :func:`utime` but if *path* is relative, it is taken as relative to *dirfd*.
    If *path* is relative and *dirfd* is the special value :data:`AT_FDCWD`, then *path*
@@ -884,12 +883,11 @@
    .. versionadded:: 3.3
 
 
-.. function:: futimens(fd, (atime_sec, atime_nsec), (mtime_sec, mtime_nsec))
-              futimens(fd, None, None)
+.. function:: futimens(fd[, (atime_sec, atime_nsec), (mtime_sec, mtime_nsec)])
 
    Updates the timestamps of a file specified by the file descriptor *fd*, with
    nanosecond precision.
-   The second form sets *atime* and *mtime* to the current time.
+   If no second argument is given, set *atime* and *mtime* to the current time.
    If *atime_nsec* or *mtime_nsec* is specified as :data:`UTIME_NOW`, the corresponding
    timestamp is updated to the current time.
    If *atime_nsec* or *mtime_nsec* is specified as :data:`UTIME_OMIT`, the corresponding
@@ -911,11 +909,10 @@
    .. versionadded:: 3.3
 
 
-.. function:: futimes(fd, (atime, mtime))
-              futimes(fd, None)
+.. function:: futimes(fd[, (atime, mtime)])
 
    Set the access and modified time of the file specified by the file
-   descriptor *fd* to the given values. If the second form is used, set the
+   descriptor *fd* to the given values. If no second argument is used, set the
    access and modified times to the current time.
 
    Availability: Unix.
@@ -1702,8 +1699,7 @@
       Added support for Windows 6.0 (Vista) symbolic links.
 
 
-.. function:: lutimes(path, (atime, mtime))
-              lutimes(path, None)
+.. function:: lutimes(path[, (atime, mtime)])
 
    Like :func:`utime`, but if *path* is a symbolic link, it is not
    dereferenced.