An asymptotic formula related to the divisors of the quaternary quadratic form
Let d(n) stand for the Dirichlet divisor function. We give an asymptotic formula for with the help of the circle method.
The number of powers of 2 in a representation of large odd integers
On pairs of equations in unlike powers of primes and powers of 2
In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.
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