By Charles Winecoff
Updated September 17, 1999 at 04:00 AM EDT

”It isn’t the music that people remember most about me,” writes Eddie Fisher, despite his inaccurate claim to more consecutive hit records than Elvis or the Beatles, ”it’s the women.” And in this deliciously grubby memoir, the singer once hailed as the ”Jewish Sinatra” enumerates his mind-boggling roster of famous sexual conquests. Boldfacing his starchy marriage to America’s sweetheart, Debbie Reynolds (”the sex was terrible”), and his scandalous amour with Elizabeth Taylor, who sent Fisher into a tailspin when she dumped him for Richard Burton, Fisher’s vulgar anecdotes will be music to gossip lovers’ ears. B