2012 New York Consolidated Laws
PBO - Public Officers
37 - Notice of existence of vacancy.

NY Pub Off L § 37 (2012) What's This?
    § 37. Notice  of  existence  of  vacancy.  When  a  judgment  shall be
  rendered by any court convicting an officer of a felony, or of  a  crime
  involving  a  violation of his oath of office, or declaring the election
  or appointment of any officer to be void, or  that  the  office  of  any
  officer  has  been  forfeited  or become vacant, the clerk of such court
  shall give notice thereof to the governor, stating  the  cause  of  such
  conviction or judgment.
    Whenever  a public officer shall die before the expiration of his term
  of office, or shall cease to be a resident of the political  subdivision
  of  the state or a municipal corporation in which he is required to be a
  resident as a condition of continuing in the office, the county clerk of
  the county in which such officer shall have resided immediately prior to
  such death or removal, shall immediately give notice of  such  death  or
  removal  to  the governor. If the governor is not authorized to fill any
  vacancy of which he shall have notice, he shall forthwith give notice of
  the existence of such vacancy to the officer or officers, or to the body
  or board of officers authorized to fill the vacancy, or if such  vacancy
  may  be filled by an election, to the officers authorized to give notice
  of such election.

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