Waring-Goldbach problem for fourth powers in short intervals

Hengcai TANG, Feng ZHAO

Front. Math. China ›› 2013, Vol. 8 ›› Issue (6) : 1407-1423.

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PDF(157 KB)
Front. Math. China ›› 2013, Vol. 8 ›› Issue (6) : 1407-1423. DOI: 10.1007/s11464-013-0329-3
RESEARCH ARTICLE
RESEARCH ARTICLE

Waring-Goldbach problem for fourth powers in short intervals

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Abstract

We prove that almost all integers N satisfying some necessary congruence conditions are the sum of almost equal fourth prime powers.

Keywords

Circle method / exponential sum / short interval

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Hengcai TANG, Feng ZHAO. Waring-Goldbach problem for fourth powers in short intervals. Front Math Chin, 2013, 8(6): 1407‒1423 https://doi.org/10.1007/s11464-013-0329-3

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