2006 New York Code - Elections.

 
    § 14. Elections. All elections of city officers, including supervisors
  and  judicial officers of a city court or inferior local court, shall be
  held on the Tuesday succeeding the first Monday in November, and, except
  to fill vacancies, in an odd-numbered year. All such elections shall  be
  held  at  the  same time and places as the general election held in such
  year, and shall be conducted in all  respects  in  the  same  manner  as
  general  elections  in  cities are required to be conducted, and all the
  provisions of law relative to such elections shall be applicable to  the
  election  for  officers  of the city. In case of the failure to elect an
  elective city officer, except as otherwise provided herein,  the  office
  shall be deemed to be vacant for the purpose of choosing a successor and
  the  vacancy  shall  be  filled  in  the  manner provided herein for the
  filling of  a  vacancy  in  such  office  happening  otherwise  than  by
  expiration of term.