DENSITY OF TWO SQUARES OF PRIMES AND POWERS OF 2

DOI10.1142/S1793042111004605zbMath1237.11042MaRDI QIDQ3173271

Guangshi Lü, Zhixin Liu

Publication date: 27 September 2011

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

zbMATH Keywords

additive number theorypowers of 2squares of primes

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 (17)

A pair of equations in four prime squares and powers of 2 ⋮ On sum of one prime, two squares of primes and powers of 2 ⋮ Powers of 2 in two Goldbach-Linnik type problems involving prime cubes ⋮ Two results on powers of 2 in Waring-Goldbach problem ⋮ Two prime squares, four prime cubes and powers of 2 ⋮ On pairs of eight cubes of primes and powers of 2 ⋮ On unlike powers of primes and powers of 2 ⋮ Two results on unlike powers of primes and powers of 2 in the Waring-Goldbach problem ⋮ ON PAIRS OF GOLDBACH–LINNIK EQUATIONS ⋮ On Linnik's approximation to Goldbach's problem. II ⋮ Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer ⋮ ON PAIRS OF LINEAR EQUATIONS IN FOUR PRIME VARIABLES AND POWERS OF TWO ⋮ Unnamed Item ⋮ A pair of equations in unlike powers of primes and powers of 2 ⋮ A pair of equations in one prime, two prime squares and powers of 2 ⋮ On unequal powers of primes and powers of 2 ⋮ Linnik's approximation to Goldbach's conjecture, and other problems

Cites Work

• A note on Romanov's constant
• Primes and powers of 2
• The number of powers of 2 in a representation of large even integers. II
• On Romanoff's constant
• Representation of even integers as sums of squares of primes and powers of 2
• Integers represented as a sum of primes and powers of two.
• On some theorems of additive number theory
• Squares of primes and powers of 2
• On Linnik's almost Goldbach theorem
• Four prime squares and powers of 2
• Integers represented as the sum of one prime, two squares of primes 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 (II)
• Four squares of primes and 165 powers of 2
• Chen's double sieve, Goldbach's conjecture and the twin prime problem
• Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
• Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
• On integers of the form p+2^k

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