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Hua Loo-Keng’s problem for primes of a special form. (English. Russian original) Zbl 1479.11172

Sb. Math. 212, No. 4, 592-603 (2021); translation from Mat. Sb. 212, No. 4, 159-170 (2021).
Summary: L.-K. Hua’s problem is solved for primes [Math. Z. 44, 335–346 (1938; Zbl 0020.10502)], four of which have binary expansions of a special form, whilst the fifth satisfies the inequality \(\{(1/2)p^{1/c}\}<1/2\), where \(c\in(1/2]\).

MSC:

11P05 Waring’s problem and variants
11P32 Goldbach-type theorems; other additive questions involving primes

Citations:

Zbl 0020.10502
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Full Text: DOI

References:

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