𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Waring–Goldbach Problem for Unlike Powers

✍ Scribed by Xiu Min Ren*; Kai Man Tsang**


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
259 KB
Volume
23
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On a Waring–Goldbach-type problem for fo
✍ 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 quadratic Waring–Goldbach problem
✍ Jianya Liu; Trevor D Wooley; Gang Yu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 301 KB

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