Class fields towers of imaginary quadratic fields.
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Robert Gold, James R. Brink (1986/87)
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Radan Kučera (2010)
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Iwao Kimura (2003)
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R.W. Davis (1976)
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Kostadinka Lapkova (2012)
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Sheng Chen, Hong You (2003)
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Mark Coleman, Andrew Swallow (2005)
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Toru Komatsu (2002)
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Iwao Kimura (2004)
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M. Kula, L. Szczepanik, K. Szymiczek (1979)
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W. Narkiewicz (1967)
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W. Narkiewicz (1967)
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Shu-Leung Tang (1993)
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Manabu Murata (2006)
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Yoonjin Lee (2006)
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Zdeněk Polický (2009)
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Yutaka Sueyoshi (2004)
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Dongho Byeon (2008)
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Stéphane R. Louboutin (2007)
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We give a simple proof of the Siegel-Tatuzawa theorem according to which the residues at s = 1 of the Dedekind zeta functions of quadratic number fields are effectively not too small, with at most one exceptional quadratic field. We then give a simple proof of the Brauer-Siegel theorem for normal number fields which gives the asymptotics for the logarithm of the product of the class number and the regulator of number fields.
Xiaobin Yin, Hourong Qin, Qunsheng Zhu (2005)
Acta Arithmetica
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