As an extension of the Linnik Gallagher results on the ``almost Goldbach'' problem, we prove that every large even integer is a sum of four squares of primes and 8330 powers of 2.
Squares of Primes and Powers of 2, II
β Scribed by Jianya Liu; Ming-Chit Liu; Tao Zhan
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 143 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0022-314X
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β¦ Synopsis
We prove that the density of integers -2 (mod 24), which can be represented as the sum of two squares of primes and k powers of 4, tends to 1 as k Q . in the sequence k -0 (mod 3). Consequently, there exists a positive integer k 0 such that every large integer -4 (mod 24) is the sum of four squares of primes and k 0 powers of 4.
π SIMILAR VOLUMES
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