By Abhirup Roy and Shilpa Jamkhandikar MUMBAI (Reuters) -Lata Mangeshkar, one of India’s best known cultural icons and a singer who defined music for generations of her countrymen, died on Sunday and was given a state funeral as politicians and personalities united in mourning. Mangeshkar, 92, made her name in the world of Bollywood and her voice has rung out on television sets, on crackly airwaves and from movie theatres for most of independent India’s three quarters of a century, earning her the name “the Nightingale”. “I am anguished beyond words,” Prime Minister Narendra Modi wrote on Twit…