A note on class number 1 criteria for totally real algebraic number fields
Dongho Byeon (2001)
Acta Arithmetica
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Dongho Byeon (2001)
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John Knopfmacher (1985)
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Sofiène Bessassi (2003)
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V. Sprindžuk (1974)
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Dinesh S. Thakur (1995)
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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.
Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
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Sangtae Jeong (2004)
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Hugo Chapdelaine (2009)
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Dress, Andreas W.M. (1997)
Beiträge zur Algebra und Geometrie
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