Trump said Obama came from Kenya.
Is debatable and also, he was not the only one. Is a matter of fact, the one that started all was Hillary Clinton when these 2 cats ran against each other in 08. That was the genesis of the "Birther Movement". She also coined the "Fake News" meme, Trump just ran with it.
Apparently he has a Life Birth Certificate, not a Birth Certificate. The difference is that one is filled at birth, the Life Birth is given when the original is lost or cannot be found. Also, is alledged that he had a visa to Cambodia or Vietnam or some crap like that when the US had a travel ban on that period, also had an alias of Barry Soetoro. Also an affair with some chap called Larry Synclair.
Anyway, that is what they are arguing about. Why is relevant? Because if is true, by the US Constitution he cannot be presie. Lets assume is true, what will happen with all the laws, regulations, executive orders that he signed? Another Constitutional Dilema. What about Bush Jr accused and sentenced for treason, Clinton perhaps?
If is true, might come out, if not, is just a spat.
Now here is the other thing... some say that he is a CIA Manchurian Candidate and his mother worked for the CIA. Mitt Romney is another CIA spook. I have no proof, cannot confirm, so just leave as that, do not read into it.
In my opinion, to me, he was just a rubber stamp, he was never in control, was a front and pitchman. Just like Bush Jr. Clinton was a player, he was asked to do some and added some more on his own. Bush Sr was a sneaky bastard that worked in the shadows. He was the CIA Deputy Director and served 12 yrs in the White House (2 as Vice, 1 as presie).