The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes
The exceptional set of Goldbach numbers (II)
1. Introduction. A positive number which is a sum of two odd primes is called a Goldbach number. Let E(x) denote the number of even numbers not exceeding x which cannot be written as a sum of two odd primes. Then the Goldbach conjecture is equivalent to proving that E(x) = 2 for every x ≥ 4. E(x) is usually called the exceptional set of Goldbach numbers. In [8] H. L. Montgomery and R. C. Vaughan proved that for some positive constant Δ > 0. In this paper we prove the following result. Theorem....
Diagonal cubic equations
Small prime solutions of linear ternary equations
The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes (II)
A hybrid of theorems of Goldbach and Piatetski-Shapiro
Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Four prime squares and powers of 2
Sums of one prime and two prime squares
Difference sets and polynomials of prime variables
The Romanoff theorem revisited
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