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Indivisibility of Class Numbers and Iwasawa λ-Invariants of Real Quadratic Fields

Published online by Cambridge University Press:  04 December 2007

Dongho Byeon
Dongho Byeon
Affiliation:
School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Dongdaemun-gu, Seoul 130-012, Korea. E-mail: dhbyeon@kias.re.kr
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Abstract

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Let D>0 be the fundamental discriminant of a real quadratic field, and h(D) its class number. In this paper, by refining Ono's idea, we show that for any prime p>3, [sharp ]{0<D<X|h(D)[nequiv]0(mod p)}>>p√(X)/logX.

Keywords

class numbersIwasawa λ-invariants
Type
Research Article
Information
Compositio Mathematica , Volume 126 , Issue 3 , May 2001 , pp. 249 - 256
Copyright
© 2001 Kluwer Academic Publishers