𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On monochromatic sums of squares and primes

✍ Scribed by Norbert Hegyvári; François Hennecart


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
136 KB
Volume
124
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis


Let K be a positive integer. A partition {A k , 1 k K} of the sequence of squares being given, we consider the question of estimating the smallest number t (K) such that any large integer can be written as a sum of less than t (K) elements all taken from one of the sets A k . The analogous question for the primes is also tackled.


📜 SIMILAR VOLUMES


On a Sum of Three Prime Squares
✍ Claus Bauer; Ming-Chit Liu; Tao Zhan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 174 KB
On sums of a prime and four prime square
✍ Guangshi Lü 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 158 KB

In this paper, we are able to sharpen Hua's classical result by showing that each sufficiently large integer N ≡ 1 (mod 3) can be written as

Sum of a prime and a square
✍ I. V. Polyakov 📂 Article 📅 1990 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 446 KB