Franz Lemmermeyer
Published 2013-10-24Version 1
In this paper we give an elementary proof of results on the structure of 4-class groups of real quadratic number fields originally due to A. Scholz. In a second (and independent) section we strengthen C. Maire's result that the 2-class field tower of a real quadratic number field is infinite if its ideal class group has 4-rank at least $4$, using a technique due to F. Hajir.
An Elementary Proof of a Theorem of Hardy and Ramanujan
An elementary proof for a generalization of a Pohst's inequality
Retraction of 'Elementary proof of the Giuga-Agoh conjecture'
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