owe (Verb) — Be obliged to pay or repay.
owe (Verb) — Be indebted to, in an abstract or intellectual sense. ex. "This new theory owes much to Einstein's Relativity Theory"
owe (Verb) — Be in debt. ex. "She owes me $200" ex. "I still owe for the car" ex. "The thesis owes much to his adviser"