Ein Brief von Eisensteins Eltern an Gauss
Franz Lemmermeyer
TL;DR
This paper presents a transcription of a historical letter from Eisenstein's parents to Gauss and includes an unpublished proof of the quadratic reciprocity law by Eisenstein utilizing the tangent function.
Contribution
It provides new historical insights and an unpublished mathematical proof related to Eisenstein's work on quadratic reciprocity.
Findings
Unpublished proof of quadratic reciprocity by Eisenstein
Historical transcription of Eisenstein's parents' letter to Gauss
Application of tangent function in Eisenstein's proof
Abstract
We give a transcription of a letter from Eisenstein's parents to Gauss, and an unpublished proof of the quadratic reciprocity law by Eisenstein using the tangent function.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Analytic Number Theory Research