A Bound for Prime Solutions of Some Ternary Equations.
A complete Vinogradov 3-primes theorem under the Riemann hypothesis.
A conditional result on Goldbach numbers in short intervals
A diophantine equation involving special prime numbers
Let be the floor function. In this paper, we prove by asymptotic formula that when , then every sufficiently large positive integer can be represented in the form where , , , , are primes such that .
A diophantine inequality involving prime powers
A generalization of the Goldbach-Vinogradov theorem
A Goldbach theorem for polynomials of low degree over odd finite fields
A hybrid of theorems of Goldbach and Piatetski-Shapiro
A lower bound theorem in Fq[x].
A Note on the Exceptional Set for Goldbach's Problem in Short Intervals.
A note on |αp - q|
A numerical bound for small prime solutions of some ternary linear equations
A reduction technique in Waring's problem, I
A remark on Chen's theorem
A remark on the Piatetski-Shapiro-Vinogradov theorem
A short intervals result for linear equations in two prime variables.
Given A and B integers relatively prime, we prove that almost all integers n in an interval of the form [N, N+H], where N exp(1/3+e) ≤ H ≤ N can be written as a sum Ap1 + Bp2 = n, with p1 and p2 primes and e an arbitrary positive constant. This generalizes the results of Perelli et al. (1985) established in the classical case A=B=1 (Goldbach's problem).
A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
A sieve approach to the Waring-Goldbach problem, II On the seven cubes theorem
A singular series average and Goldbach numbers in short intervals
A theorem in additive number theory