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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Waring–Goldbach problem ： ウィキペディア英語版 Waring–Goldbach problem The Waring–Goldbach problem is a problem in additive number theory, concerning the representation of integers as sums of powers of prime numbers. It is named as a combination of Waring's problem on sums of powers of integers, and the Goldbach conjecture on sums of primes. It was initiated by Hua Luogeng〔L. K. Hua: (Some results in additive prime number theory ), ''Quart. J. Math. Oxford'', 9(1938), 68–80.〕 in 1938. ==Problem statement== It asks whether large numbers can be expressed as a sum, with at most a constant number of terms, of like powers of primes. That is, for any given natural number, ''k'', is it true that for sufficiently large integer ''N'' there necessarily exist a set of primes, , such that ''N'' = ''p''1''k'' + ''p''2''k'' + ... + ''p''''t''''k'', where ''t'' is at most some constant value? The case, ''k''=1, is a weaker version of the Goldbach conjecture. Some progress has been made on the cases ''k''=2 to 7. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Waring–Goldbach problem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.