Like people said, very difficult to narrow down just 3. Some have influenced me more through songwriting than playing.
Magnus Karlsson (Solo, Last Tribe, Primal Fear, Russel/Lande, Kiske - Somerville)
Per Nilsson (Scar Symmetry)
Honorable off the top of my head that I worship
John 5, Tony MacAlpine, Josh Travis, Brian "Head" Welch/Munky, Sam Totman/Herman Li, Andy James, John Schaffer, Dino, Cobain, Karl/Dallas, Fountainhead, Terrance Hobbs, Chuck Schuldinner, Jon Levasseur