N.Y. Elec. Law § 6-164

§ 6-164. Primary, uncontested; opportunity to ballot. Enrolled members\nof a party entitled to vote in the nomination of a candidate for public\noffice or the election of a candidate for party position in a primary\nelection of such party, and equal in number to at least the number of\nsigners required to designate a candidate for such office or position\nmay file with the officer or board with whom or which are filed\ndesignating petitions for such office or position a petition requesting\nan opportunity to write in the name of a candidate or candidates, who\nneed not be specified, for such office or position. Upon the receipt of\nsuch a petition, such office or position shall be deemed contested and\nthe primary ballots of the party shall afford an opportunity to vote\nthereon. Requests for an opportunity to write in the names of\ncandidates for two or more offices or positions may be included in the\nsame petition. Such petitions shall be subject to objections and court\ndetermination thereof in the same manner as designating petitions so far\nas the provisions therefor are applicable. All required notices shall be\nserved on the members of the committee named in the petition. A\nsignature to a petition for an opportunity to ballot in primary\nelections made earlier than sixteen days before the last day to file\ndesignating petitions for the primary election shall not be counted.\n