A judgment by default may be entered as provided in CPLR § 3215.
A summons stating the amount for which the plaintiff will take judgment if the defendant fails to appear and answer, and containing a statement of the nature and substance of the cause of action, or a summons accompanied by a formal complaint, shall be deemed "the summons and the complaints" referred to in subdivision (e) of said section.
N.Y. New York City Civil Court Law § 1402