HONOLULU — The conspiracy theorists who cling to the false belief that President Obama was born outside the United States outrage many Democrats and embarrass many Republicans. But to a group of Hawaii state workers who toil away in a long building across from the Capitol, they represent something else: a headache and a waste of time.

The theorists, known as birthers, have deluged the State Health Department here with so many demands for information about the president’s birth in Hawaii that Gov. Linda Lingle, a Republican, signed a law this week allowing state agencies to ignore repeated requests from people who have had a request answered in the last year.

It comes none too soon for Health Department workers, who have been inundated with so many requests for the president’s birth records that printouts of the e-mail messages they have received on the topic through March stands some 13 inches high. Each one required a response, and many required consultations with state lawyers.

“It became really, really a burden,” said Janice Okubo, a spokeswoman for the department, who said that handling the hundreds of requests took up huge amounts of the department’s time as it was trying to respond to an H1N1 flu outbreak. Many requests, she said, came from the same handful of people.