New York GOP seeks Weiner's seat

"It's not ex Rep Weiner's seat, it's not Nancy Pelosi's seat- it's the People's seat and it is about time that the constituents of the 9th District get the high quality representative they deserve," the GOP State Party email said.

The email blasted Weiner for going as long as he did without resigning: "Anthony Weiner felt entitled to his seat, and this twisted tale is in no small part the fruits of that arrogance."

Sources tell CNN one potential Republican contender for a special election is 26-year-old Eric Ulrich, the youngest member in the New York City Council. The day before Weiner's announcement, former New York City Mayor Rudy Giuliani met with Ulrich and encouraged the young Republican to run.

Businessman Bob Turner, who challenged Weiner for the seat in 2010, is also a name being mentioned in Republican circles, according to Michael Lawler, Deputy Political Director at the GOP State Party. And while Turner received Giuliani's endorsement last fall, Weiner still won the election with 61 percent of the vote.