As a result of the snowstorm, NYS has extended filing deadlines due March 15, 2017 to March 20, 2017. In general, no special relief needs to be requested; only that the tax returns need to be field by March 20, 2017. This would include, for example, the partnership tax return due March 15, 2017.
The exceptions to this relief include (i) remittances of income tax withheld by employers required to file NYS-1 and remittances of withholding tax or MCTMT required to be made by employers through the PromptTax system. Notice N-17-3 details the full announcement, which is reproduced below for your convenience.