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- Chinen Koji
- Department of Mathematics, Faculty of Engineering, Osaka Institute of Technology
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- Murata Leo
- Department of Mathematics, Faculty of Economics, Meiji Gakuin University
書誌事項
- タイトル別名
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- On a distribution property of the residual order of <i>a</i> (mod <i>p</i>) — III
- On a distribution property of the residual order of a (mod p)- III
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説明
Let a be a positive integer which is not a perfect b-th power with b≥2, q be a prime number and Qa(x;qi,j) be the set of primes p≤x such that the residual order of a (mod p) in (Z/pZ)× is congruent to j modulo qi. In this paper, which is a sequel of our previous papers [1] and [6], under the assumption of the Generalized Riemann Hypothesis, we determine the natural densities of Qa(x;qi,j) for i≥3 if q=2, i≥1 if q is an odd prime, and for an arbitrary nonzero integer j (the main results of this paper are announced without proof in [3], [7] and [2]).
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 58 (3), 693-720, 2006
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680093206784
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- NII論文ID
- 10018381051
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2254407
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- NDL書誌ID
- 7987093
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可