Leon Cooperman’s Omega Advisors initiated positions in Dollar General Corp. (NYSE:DG) and Time Warner Cable Inc (NYSE:TWC) last quarter with 1.7 million and 530,000 shares respectively, according to the hedge fund’s recently filed 13F, though neither is a major holding. It also increased its largest position Sprint Corp to 43 million shares worth nearly $400 million. Omega Advisors’ new and increased positions Omega Advisors’ other new positions include Actavis plc (NYSE:ACT) (260,000 shares), ADT Corp. (2.7 million shares), Andarko Petroleum (230,000 shares), New Media Investment Group (3.9 million shares), National Oilwell Varco Inc (183,000 shares), Ocwen Financial Corp. (220,000 shares), and…