Primes represented byx3+2y3

48 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Higher order Fourier analysis of multiplicative functions and applications (2014, background): “se independent linear forms by Green, Tao, and Ziegler [29, 30, 31, 32]. The conjecture is also closely related to the problem of representing primes by irreducible polynomials, for relevant work see [16, 36, 37, 38]. In Theorem 2.6 we show that if P(m,n) := (m2 +n2)r Ys i=1 Li(m,n), where r≥ 0, s∈ ”
Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim (2006, background): “Some of the spectacular achievements of this theory are Chen’s theorem [5] that for infinitely many primes p, the number p+2 has at most two prime factors; the result of Friedlander and Iwaniec [10] that there are infinitely many primes of the form x+y where x and y are integers; and the result of H”
Almost-primes represented by quadratic polynomials (2012, background): “There have been fantastic recent results on the related problem for polynomials in two variables, such as x2 + y4 and x3 + 2y3, which Friedlander and Iwaniec [5] and HeathBrown [6] have shown represent primes infinitely often; in fact, they have obtained the asymptotic orders of the sets of such pri”