This article explores the history of the Eisenstein irreducibility criterion and explains how Theodor Schönemann discovered this criterion before Eisenstein. Both were inspired by Gauss’s Disquisitiones Arithmeticae, though they took very different routes to their discoveries. The article will discuss a variety of topics from 19th-century number theory, including Gauss’s lemma, finite fields, the lemniscate, elliptic integrals, abelian groups, the Gaussian integers, and Hensel’s lemma.
Nikseresht,A. (2023). Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First. Mathematical Culture and Thought, 41(2), 173-198. doi: 10.30504/mct.2023.1268.1883
MLA
Nikseresht,A. . "Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First", Mathematical Culture and Thought, 41, 2, 2023, 173-198. doi: 10.30504/mct.2023.1268.1883
HARVARD
Nikseresht A. (2023). 'Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First', Mathematical Culture and Thought, 41(2), pp. 173-198. doi: 10.30504/mct.2023.1268.1883
CHICAGO
A. Nikseresht, "Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First," Mathematical Culture and Thought, 41 2 (2023): 173-198, doi: 10.30504/mct.2023.1268.1883
VANCOUVER
Nikseresht A. Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First. An Expository Journal of the Iranian Mathematical Society, 2023; 41(2): 173-198. doi: 10.30504/mct.2023.1268.1883
