Is it a prescribed part of wudu to wipe the neck or is it not mentioned in the Book of Allah or the Sunnah of Muhammad (peace and blessings of Allah be upon him)?
There is no proof in either the Book of Allah or the Sunnah of His Messenger (peace and blessings of Allah be upon him) that wiping the neck is part of wudu, so it is not a prescribed part of wudu.