English translation of Frobenius' and Stickelberger's "On the theory of elliptic functions"
Ferdinand Georg Frobenius, Ludwig Stickelberger (translation by Kyrylo Khazanzheiev, Graham Hesketh)
TL;DR
This paper provides an English translation and digitisation of Frobenius and Stickelberger's 1877 work, highlighting their derivation of the Frobenius-Stickelberger determinant formula for elliptic functions and its generalisation of earlier determinants.
Contribution
It offers an accessible translation and digitisation of a historic paper, emphasizing the derivation and generalisation of key elliptic function determinants.
Findings
Derivation of the Frobenius and Stickelberger determinant formula
Generalisation of determinants by Hermite and Kiepert
Historical significance of elliptic function theory
Abstract
This is an English translation and digitisation of Frobenius' and Stickelberger's "On the theory of elliptic functions" first published in Journal fur die reine und angewandte Mathematik (Crelle's journal), 83, 175-179 (1877) with the title "Zur Theorie der elliptischen Functionen". The paper derives what is now known as the Frobenius and Stickelberger determinant formula for elliptic functions and generalises determinants derived by Hermite and Kiepert.
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