Four squares of primes and 165 powers of 2

DOI10.4064/aa114-1-4zbMath1050.11084OpenAlexW1988631307MaRDI QIDQ4811266

Guangshi Lü, Liu, Jianya

Publication date: 18 August 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/aa/Inf/114-1-4.html

zbMATH Keywords

circle methodexponential sumvector sieve

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) Applications of sieve methods (11N36)

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A pair of equations in four prime squares and powers of 2 ⋮ DENSITY OF TWO SQUARES OF PRIMES AND POWERS OF 2 ⋮ Goldbach-Linnik type problems on eight cubes of primes ⋮ Two prime squares, four prime cubes 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 ⋮ On unlike powers of primes and powers of 2 ⋮ On pairs of four prime squares and powers of two ⋮ Goldbach-Linnik type problems with unequal powers of primes ⋮ Integers represented as the sum of one prime, two squares of primes and powers of 2 ⋮ On pairs of quadratic equations in primes and powers of 2 ⋮ On a generalization of Hua's theorem with five squares of primes ⋮ ON PAIRS OF ONE PRIME, TWO PRIME SQUARES AND POWERS OF 2 ⋮ 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

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