PARIS, Sept 14 (Reuters) - Vivendi’s Universal Music Group, the world’s largest music company, whose artists include Lady Gaga and the Rolling Stones, published its prospectus on Tuesday ahead of a 33 billion euro ($39 billion) stock market flotation this month. UMG is benefiting from a music industry rebound, underpinned by booming streaming revenues but also a recent surge in sales of vinyl records and CDs.