Section 6-162 - Primary; New York City, run-off1. In the city of New York, when no candidate for the office of mayor, public advocate or comptroller receives forty percent or more of the votes cast by the members of a political party for such office in a city-wide primary election, the board of elections of such city shall conduct a run-off primary election between the two candidates receiving the greatest number of votes for the same office.2. In any jurisdiction that authorizes a run-off election after a primary election, if one of the two candidates receiving the greatest number of votes for the same office files with the local board of elections a certificate of withdrawal within three days following such primary election, the board shall accept and certify the withdrawal and declare the remaining candidate the winner and no such run-off primary election shall be held. Such certificate of withdrawal shall be in affidavit or affirmation form as determined by the state board of elections.