Zeros of 2-adic <IMG ALIGN=BOTTOM HEIGHT=14 WIDTH=12>-functions and congruences for class numbers and fundamental units期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Zeros of 2-adic -functions and congruences for class numbers and fundamental units

Authors:	Daniel C Shanks Patrick J Sime Lawrence C Washington

Institution:	Department of Mathematics, University of Maryland, College Park, MD 20742 Patrick J. Sime ; Department of Mathematics & Comp. Sci., Caldwell College, Caldwell, NJ 07006 ; Department of Mathematics, University of Maryland, College Park, MD 20742

Abstract:	We study the imaginary quadratic fields such that the Iwasawa $\lambda _{2}$ -invariant equals 1, obtaining information on zeros of -adic -functions and relating this to congruences for fundamental units and class numbers.

Keywords:	Quadratic fields $p$-adic $L$-functions

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