Frank Carbone.

Fairfield mayor Frank Carbone. Photo: Wesley Lonergan

It has the makings of a Monty Python sketch: three men ringing a radio station claiming to be the same man.

But instead of exclaiming "I'm Brian!" each claimed to be Labor mayor of Fairfield Frank Carbone.

Fairfield Council released a statement on Friday warning the media there was at least one impersonator on the prowl.

It is understood two men called 2GB afternoon host Chris Smith on Thursday claiming to be Cr Carbone but neither was put on air. The third call is believed to have been made by the genuine mayoral article.

On Friday, a producer for Ray Hadley's morning show was provided with documents allegedly bearing Cr Carbone's forged signature. The material did not go on air.

"Police have been alerted about the bogus telephone calls and falsely signed documents and are investigating the matter," the council said in a statement.

Fairfield police commander, Detective Superintendent Peter Lennon, confirmed police were investigating allegations of impersonating a public official.

Cr Carbone, who was elected mayor of Fairfield in March last year, is a man oft impersonated. During last year's council elections, unauthorised material was circulated on his letterhead.

He believes the latest "intimidation tactics" are related to his attempts to clean up the council and introduce new transparency safeguards, such as requiring councillors to disclose the property interests of their spouses.

"Politics can be a dirty game unfortunately, but I will continue to implement policy that is transparent and beneficial to the local community and will not be intimidated or pressured by any individual person's self interest," Cr Carbone said.

"People need to be vigilant. There are always people who are intent on causing damage to other people's reputations. If people come across such information, they should report it to relevant authorities."