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Last week, Archer returned to his former school to promote his last book.
"It's wonderful to come back. What I got a real thrill about when I was walking towards the library is seeing the young boys and girls and thinking, 'that's the next generation'," Archer said at Wellington School.
Archer had been due to attend the Cheltenham Literature Festival on Saturday to discuss his final novel.
He and his wife Mary had celebrated their 60th wedding anniversary this year, HarperCollins said.
The couple have two sons and five grandchildren.