N.Y. Elec. Law § 6-212
Written objections to a nominating or designating petition or to a certificate of nomination, certificate of acceptance, certificate of authorization, certificate of declination or certificate of substitution with respect to an office to be filled at a general or special village election may be filed not later than the day after the last day to file such petition or certificate, or the day after such petition or certificate is received by the board of elections if such petition or certificate is mailed within the time permitted by law, whichever is later. Written specifications of the grounds for such objections shall be so filed within two days thereafter. A failure to file such written specifications shall render the original objection null and void. Upon receipt of written specifications, the county board of elections shall immediately notify each candidate named in such petition or certificate and take all steps necessary and consistent with this chapter to render a determination on the questions raised in such objections and specifications. When a determination has been made by the county board of elections that the petition is sufficient or insufficient, it shall immediately notify each candidate named in the petition or certificate, and, if such determination was made on objection, the objector.
N.Y. Elec. Law § 6-212