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Primes and powers of 2

✍ Scribed by P. X. Gallagher


Publisher
Springer-Verlag
Year
1975
Tongue
English
Weight
643 KB
Volume
29
Category
Article
ISSN
0020-9910

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Squares of Primes and Powers of 2
✍ Jianya Liu; Ming-Chit Liu; Tao Zhan πŸ“‚ Article πŸ“… 1999 πŸ› Springer Vienna 🌐 English βš– 229 KB
Squares of Primes and Powers of 2, II
✍ Jianya Liu; Ming-Chit Liu; Tao Zhan πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 143 KB

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

Representation of Even Integers as Sums
✍ Jianya Liu; Ming-Chit Liu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 185 KB

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.