Roth was diagnosed with stage four bile duct cancer in October and he passed away on December 16, reported New York Daily News.
The guitarist was considered a staple in the New York City music scene since the 1970s, playing with bands such as Del Fuegos and Hoy Boy and the Doys.
He attended Emerson College in Boston, Massachusetts where he met actor Denis Leary and the two formed a friendship that lead to frequent collaborations for nearly four decades.
Roth served as the composer for Leary's hit drama series Rescue Me and his recent series Sex&Drugs&Rock&Roll, and he was also star John Corbett's guitar "voice" as well as the show's technical adviser.
Roth was also friends with actors such as Matt Dillon, Chloe Sevigny and Natasha Lyonne, who all paid tribute to their late friend.
"He liked people based on their character. It was about who you were in your heart. I want to honour him by living the way he did. I loved the guy," Dillon said.