On the greatest prime factor of a cubic polynomial.

On the greatest prime factor of a cubic polynomial.
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DOI:
10.1515/crll.1978.303-304.21
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发表时间:
1978
期刊:
Journal für die reine und angewandte Mathematik (Crelles Journal)
影响因子:
--
通讯作者:
C. Hooley
C. Hooley
中科院分区:
其他
文献类型:
--
作者:
C. Hooley

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它是由切比雪夫对不可约多项式f(ri)的形式为n + 1的特殊情况的研究引起的。在给出了早期文献的参考书目,包括对切比雪夫死后手稿的解释之后,我们陈述了目前已知的两个最好的结果,分别是Erdös([7], 1952)和作者([7],1967 -账户可在I中找到),对于任何不可约多项式,
that was initiated by Chebyshev's work on the special case in which the irreducible polynomial f(ri) was of the form n + 1 . Having given an account with bibliography of the earlier literature including the expositions of Chebyshev's posthumous manuscript, we stated the two best currently known results due to Erdös ([2], 1952) and the author ([7], 1967 — account available in I) to the respective effect that, for any irreducible polynomial,