On sums of powers of almost equal primes

DOI10.1016/J.JNT.2016.12.003zbMath1379.11087arXiv1608.07735OpenAlexW2963422979MaRDI QIDQ5892347

Huafeng Liu, Angel V. Kumchev

Publication date: 28 March 2017

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

Full work available at URL: https://arxiv.org/abs/1608.07735

zbMATH Keywords

Waring-Goldbach problemcircle methodsieve methodsprimes in short intervalsalmost equal primessum of powers of primes

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Sums over primes (11L20)

Related Items (4)

Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem ⋮ Exceptional sets for sums of almost equal prime cubes ⋮ Regular Turán numbers of complete bipartite graphs ⋮ On sums of biquadratic powers with almost equal primes

Cites Work

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• On sums of five almost equal prime squares
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• On sums of powers of almost equal primes
• On the difference between consecutive primes

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