The Waring-Goldbach problem: one square and five cubes

DOI10.1007/S11139-013-9486-YzbMath1304.11121OpenAlexW2075180592MaRDI QIDQ457025

Yingchun Cai

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-013-9486-y

zbMATH Keywords

Waring-Goldbach problemnumber of solutionslower boundsieve methodHardy-Littlewood methodalmost prime number

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36)

Related Items (10)

On the Waring-Goldbach problem for six cubes and two biquadrates ⋮ On Waring-Goldbach problem of mixed powers ⋮ On Waring–Goldbach problem for unlike powers ⋮ ON THE WARING–GOLDBACH PROBLEM FOR ONE SQUARE, FOUR CUBES AND ONE BIQUADRATE ⋮ Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes ⋮ Unnamed Item ⋮ On the Waring–Goldbach problem for one square and five cubes ⋮ A Waring-Goldbach type problem for mixed powers ⋮ On the Waring-Goldbach problem for squares, cubes and higher powers ⋮ On the Waring-Goldbach problem for one square and five cubes in short intervals

Cites Work

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• ON WARING'S PROBLEM: ONE SQUARE AND FIVE CUBES
• A new form of the error term in the linear sieve
• Trigonometric sums over primes I
• The Repeesentation of a Number as a Sum of Squares and Cubes
• A sieve approach to the Waring-Goldbach problem. I. Sums of four cubes
• Sums of Three Cubes
• REPRESENTATION OF INTEGERS AS SUMS OF SIX CUBES AND ONE SQUARE
• On Sums of a Square and Five Cubes

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