On the distribution of the order and index of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>g</mml:mi><mml:mspace width="0.16em"/><mml:mo stretchy="false">(</mml:mo><mml:mi>mod</mml:mi><mml:mspace width="0.16em"/><mml:mi>p</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> over residue classes

On the distribution of the order and index of g(modp) over residue classes—I

Published:2005-10 Issue:2 Volume:114 Page:238-271
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Moree Pieter

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference33 articles.

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2. Cyclotomic fields and Kummer extensions;Birch,1965

3. K. Chinen, L. Murata, On a distribution property of the residual orders of a(mod)p, in: Analytic Number Theory—Expectations for the 21st Century—, RIMS Kokyuroku 1219 (2001) 245–255 (in Japanese).

4. K. Chinen, L. Murata, On a distribution property of the residual orders of a(mod)p, in: Proceedings of the Conference AC2001 (Algebra and Computation) held at the Tokyo Metropolitan University, 2001 (in Japanese), published electronically in ftp://tnt.math.metro-u.ac.jp/pub/ac/2001.

5. K. Chinen, L. Murata, On a distribution property of the residual orders of a(modp), II, in: New Aspects of Analytic Number Theory; RIMS Kokyuroku 1274 (2002) 62–69 (in Japanese).

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