Waring-Goldbach Problem: One Square and Nine Biquadrates

Waring-Goldbach Problem: One Square and Nine Biquadrates

In this paper it is proved that every sufficiently large even integer N satisfying one of the congruence conditions N ≡ 10, 58, 130, or 178 (mod 240) may be represented as the sum of one square and nine fourth powers of prime numbers.

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2019-03, Vol.40 (2), p.273-284
Hauptverfasser: Lü, Xiaodong, Cai, Yingchun
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Prime numbers
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Zusammenfassung:In this paper it is proved that every sufficiently large even integer N satisfying one of the congruence conditions N ≡ 10, 58, 130, or 178 (mod 240) may be represented as the sum of one square and nine fourth powers of prime numbers.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-019-0132-x