On the sum of a prime power and a power in short intervals
On the sum of a prime power and a power in short intervals
Let R k, (N ) be the representation function for the sum of the k-th power of a prime and the -th power of a positive integer.Languasco and Zaccagnini (2017) proved an asymptotic formula for the average of R 1,2 (N ) over short intervals (X, X +H] of the …