𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The quadratic Waring–Goldbach problem

✍ Scribed by Jianya Liu; Trevor D Wooley; Gang Yu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
301 KB
Volume
107
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis

It is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. all positive integers n with n 4 ðmod 24Þ are the sum of four squares of primes. In this paper, the size for the exceptional set in the above conjecture is reduced to OðN 3

📜 SIMILAR VOLUMES

On a Waring–Goldbach-type problem for fo
On a Waring–Goldbach-type problem for fourth powers
✍ Xiumin Ren; Kai-Man Tsang 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 281 KB

In this paper, we prove that every sufficiently large positive integer satisfying some necessary congruence conditions can be represented by the sum of a fourth power of integer and twelve fourth powers of prime numbers.

The Generalized Polynomial Goldbach Prob
The Generalized Polynomial Goldbach Problem
✍ Mireille Car 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 1003 KB

In this paper, we are interested by the following generalization for the polynomial Goldbach problem. Let A 1 , A 2 , and A 3 be coprime polynomials in the ring F q [T]. We ask the question of the representation of a polynomial M # F q [T ] as a sum where P 1 , P 2 , P 3 are irreducible polynomials