I've been reading a lot about the Byzantine Empire recently, and one of the things I see pointed out over and over again is that "Byzantine" is a term coined by historians, not by the people themselves. If you'd asked a citizen of the Byzantine Empire what he was, he would say "I am Roman." In fact, even the term "Romania," as I understand it, came from these ethnically eastern but politically Roman people.
I remember hearing in my youth that the Greeks continued calling themselves "Rhomaios" even after the Byzantine Empire fell, and that they only reclaimed their independent "Greek" identity in the 1700s, as a response to increasing interest in ancient Greece over in England and France.
Is this true? When did the Greek (and Eastern European in general) identity finally drop its association with the Roman Empire? The only article I've found (Wikipedia) only covers the earlier period, not that which followed "Rhomaios."