§ 315. Service by publication authorized. The court, upon motion\nwithout notice, shall order service of a summons by publication in an\naction described in section 314 if service cannot be made by another\nprescribed method with due diligence.\n
N.Y. Civil Practice Law & Rules Law § 315, under Jurisdiction and Service, Appearance and Choice of Court.
N.Y. Civil Practice Law & Rules Law § 315
§ 315. Service by publication authorized. The court, upon motion\nwithout notice, shall order service of a summons by publication in an\naction described in section 314 if service cannot be made by another\nprescribed method with due diligence.\n