The Exceptional Set in Hua’s Theorem for Three Squares of Primes

The Exceptional Set in Hua’s Theorem for Three Squares of Primes
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DOI:
10.1007/s10114-004-0484-2
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发表时间:
2005-02
期刊:
Acta Mathematica Sinica
影响因子:
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通讯作者:
Jian Liu;T. Zhan
Jian Liu;T. Zhan
中科院分区:
其他
文献类型:
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作者:
Jian Liu;T. Zhan

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证明了除了最多O(N11/12+ε)个例外,所有满足同余必要条件的正整数n≤N都是三个素数的平方和。这大大改善了之前在这个方向上的结果。
It is proved that with at mostO(N11/12+ε) exceptions, all positive integersn≤Nsatisfying some necessary congruence conditions are the sum of three squares of primes. This improves substantially the previous results in this direction.