On the least primitive root in number fields

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：sailala77882001

【摘要】

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Let K be an algebraic number field and OK its ring of integers.For any prime ideal p,the group(OK/p) of the reduced residue classes of integers is cyclic.We cal

【出处】

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中国科学：数学英文版

【发表日期】

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2010年9期

【关键词】

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PRIMITIVE ROOT ALGEBRAIC number FIELDS HECKE ZETA function primitive rootalgebra

【基金项目】

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supported by National Natural Science Foundation of China (Grant Nos.10671056,10801105)

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Let K be an algebraic number field and OK its ring of integers.For any prime ideal p,the group(OK/p) of the reduced residue classes of integers is cyclic.We call any element of a generator of the group(OK/p) a primitive root modulo p.Stimulated both by Sh

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On the least primitive root in number fields

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