PORTLAND — Elvis Costello, the British singer-songwriter whose 35-year career has included forays into punk, New Wave and jazz standards, will perform at the State Theatre on July 28.

The 7:30 p.m. show, billed as Elvis Costello and The Imposters, was announced Monday on the theater’s website and Facebook page.

Tickets will go on sale, for $45 and $75, at 10 a.m. Friday at the Cumberland County Civic Center box office, by phone at (800) 745-3000, and online at www.statetheatreportland.com.

Costello, 56, burst onto the pop music scene with the album “My Aim Is True” in 1977, bolstered by the songs “Less Than Zero” and “Alison,” among others.

Costello became an instant favorite of college radio, indie rockers and people who wanted to see rock music become more about songs and passion than the glamour and theatrics that were popular at that time.

He continued to record rock and pop into the 1980s, scoring the hit “Everyday I Write the Book” in 1983.

By the 1990s, he was dabbling in classical, cover songs and jazz, and did a collaboration with the pop songwriting legend Burt Bacharach.

He’s now married to jazz singer Diana Krall. He was inducted into the Rock and Roll Hall of Fame in 2003.