On Character Sums and Primitive Roots

On Character Sums and Primitive Roots
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DOI:
10.1112/plms/s3-12.1.179
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发表时间:
1962
影响因子:
1.8
通讯作者:
D. A. Burgess
D. A. Burgess
中科院分区:
数学1区
文献类型:
--
作者:
D. A. Burgess

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SH (N)= O (Pnogp),(1)其中N和H是任意的。他们还证明了这个结果的推广,其中素数p被复合模数k取代。我的主要结果是对SH (N)的新估计,对于H的某些值比(1)更清晰。结果是:
SH (N)= O (Pnogp),(1) where N and H are arbitrary. They also proved a generalization of this result in which the prime p is replaced by a composite modulus k. My principal result is a new estimate for SH (N) which for some values of H is sharper than (1). The result is: