Abstract
In 1994 and 1995 GIRSTMAIR gave (relative) class number formulas for the imaginary quadratic field\(\mathbb{Q}(\sqrt { - p} )\), P an odd prime with p ≡ 3 (mod 4) and p ≥ 7, using the coefficients of the digit expression of 1/p and z/p, respectively, where z is an integer with 1 ≤ z ≤p - 1. We extend the formulas to an imaginary abelian number field.
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C. Schweigen
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Hlrabayashi, M. Generalizations of girstmair’s formulas. Abh.Math.Semin.Univ.Hambg. 75, 83–95 (2005). https://doi.org/10.1007/BF02942037
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DOI: https://doi.org/10.1007/BF02942037