28 citations · 121 across the 52 of their papers we have counts for
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Euclidean Rings
Franz Lemmermeyer
This is the text of my diploma thesis on Euclidean Rings from 1989, along with an English translation. Its main result is the generalization of Lenstra's idead of exceptional seque…
Kuroda's Class Number Formula
Franz Lemmermeyer
We give a non-analytic proof of the class number formula for biquadratic extensions of number fields.
Vieta jumping and small norms in quadratic number fields
Franz Lemmermeyer
In this article we explain the connection between the famous problemfrom the IMO 1988 and elements of small norms in quadratic number fields with parametrized units.
Octic Hilbert 2-class fields of real quadratic fields with discriminant 8p
Franz Lemmermeyer
In this article we explain how to construct cyclic octic unramfied extensions of the real quadratic number field , where is a pri…
Gauss and p-adic numbers
Franz Lemmermeyer
In his notebooks, Gauss recorded various calculations with "infinite congruences". These infinite congruences are p-adic numbers; Gauss computes a square root of in the -ad…
The Computation of Gal for some Complex Quadratic Number Fields
Elliot Benjamin, Franz Lemmermeyer, Chip Snyder
We determine the Galois group of the 2-class field tower for two particular families of imaginary quadratic number fields with -class field tower of length .