Imitation in Death by JD Robb Nora Roberts - Eve Dallas 17

IMITATION IN DEATH by J.D. ROBB (aka NORA ROBERTS)
In Death paranormal futuristic mystery/thriller book 17

Summer, 2059. A man wearing a cape and a top hat approaches a prostitute on a dark, New York City street. Minutes later, the woman is dead. Left at the scene is a letter addressed to Lieutenant Eve Dallas, inviting her to play his game and unveil his identity. He signs it, "Jack."

Now Dallas is in pursuit of a murderer who knows as much about the history of serial killers as she does. He has studied the most notorious and the most vicious slayings in modern times. But he also wants to make his own mark. He has chosen his victim: Eve Dallas. And all Eve knows is that he plans to mimic the most infamous murderers of all — starting with Jack the Ripper...