On pairs of quadratic equations in primes and powers of 2

DOI10.1016/J.JNT.2013.04.006zbMath1295.11109OpenAlexW2078637296MaRDI QIDQ740877

Zhixin Liu

Publication date: 9 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.04.006

zbMATH Keywords

Waring-Goldbach problemcircle methodpowers of 2

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55)

Related Items (9)

A pair of equations in four prime squares and powers of 2 ⋮ Two results on Goldbach-Linnik problems for cubes of primes ⋮ Powers of 2 in two Goldbach-Linnik type problems involving prime cubes ⋮ A PAIR OF EQUATIONS IN EIGHT PRIME CUBES AND POWERS OF 2 ⋮ On pairs of eight cubes of primes and powers of 2 ⋮ On pairs of four prime squares and powers of two ⋮ Goldbach-Linnik type problems on cubes of primes ⋮ Linnik's approximation to Goldbach's conjecture, and other problems ⋮ Representation of even integers as a sum of squares of primes and powers of two

Cites Work

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• On Linnik's almost Goldbach theorem
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• Four prime squares and powers of 2
• On Linnik's approximation to Goldbach's problem, I
• The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes
• The number of powers of 2 in a representation of large even integers by sums of such powers and of two primes (II)
• Four squares of primes and 165 powers of 2
• ON PAIRS OF LINEAR EQUATIONS IN FOUR PRIME VARIABLES AND POWERS OF TWO
• SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY
• Representation of even integers by cubes of primes and powers of 2

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