@Article{PerelliZaccagnini1995, Author = "A. Perelli and A. Zaccagnini", Title = "On the sum of a prime and a $k$-th power", Journal = "Izv. Ross. Akad. Nauk, Ser. Math.", Volume = 59, Pages = "185--200", Year = 1995, Abstract = "We prove conditional and unconditonal results on the distribution of Hardy--Littlewood numbers in short intervals." }