New York Consolidated Laws, Civil Practice Law and Rules - CVP Rule 320. Defendant's appearance

(a) Requirement of appearance. The defendant appears by serving an answer or a notice of appearance, or by making a motion which has the effect of extending the time to answer. An appearance shall be made within twenty days after service of the summons, except that if the summons was served on the defendant by delivering it to an official of the state authorized to receive service in his behalf or if it was served pursuant to section 303, subdivision two, three, four or five of section 308, or sections 313, 314 or 315, the appearance shall be made within thirty days after service is complete. If the complaint is not served with the summons, the time to appear may be extended as provided in subdivision (b) of section 3012.

(b) When appearance confers personal jurisdiction, generally. Subject to the provisions of subdivision (c), an appearance of the defendant is equivalent to personal service of the summons upon him, unless an objection to jurisdiction under paragraph eight of subdivision (a) of rule 3211 is asserted by motion or in the answer as provided in rule 3211.

(c) When appearance confers personal jurisdiction, in certain actions; limited appearance. When the court's jurisdiction is not based upon personal service on the defendant, an appearance is not equivalent to personal service upon the defendant:

(d) Appearance after first publication. Where the defendant appears during the period of publication of a summons against him, the service by publication shall be deemed completed by the appearance.