JOLIET, Ill. (AP) — As they began deliberations Wednesday, jurors in Drew Peterson’s trial immediately zeroed in on the case’s trickiest issue: whether to believe secondhand hearsay statements that would often be barred from consideration in a criminal court.

Because of a botched initial investigation, detectives collected no fingerprints, strands of hair or any other physical evidence in the death of Peterson’s third wife. So Illinois legislators passed a law aimed specifically at the former suburban Chicago police officer. That allowed prosecutors to pursue a conviction based substantially on statements Peterson’s ex-wives made to friends and acquaintances.

After less than two hours of deliberations, jurors sent a flurry of notes to the judge asking for transcripts relating to hearsay that implicated Peterson. Forty-year-old Kathleen Savio was found dead in her bathtub in 2004, her hair soaked in blood and a gash on the back of her head.