Theodor Schönemann

Theodor Schönemann, also written Schoenemann (4 April 1812 – 16 January 1868), was a German mathematician who obtained several important results in number theory concerning the theory of congruences, which can be found in several publications in Crelle's journal, volumes 17 to 40. Notably he obtained Hensel's lemma before Hensel, Scholz's reciprocity law before Scholz, and formulated Eisenstein's criterion before Eisenstein.^[1] He also studied, under the form of integer polynomials modulo both a prime number and an irreducible polynomial (remaining irreducible modulo that prime number), what can nowadays be recognized as finite fields (more general than those of prime order).^[2]

He was educated in Königsberg and Berlin, where among his teachers were Jakob Steiner and Carl Gustav Jacob Jacobi. He obtained his doctorate in 1842, after which he became Gymnasialoberlehrer (professor at a gymnasium) in Brandenburg an der Havel. Apart from the mentioned mathematical papers, he also published, mainly after 1850, in mechanics and physical technique.

Works[]

Ueber die Bewegung veränderlicher ebener Figuren, welche während der Bewegung sich ähnlich bleiben in ihrer Ebene. 1862 digital

References[]

^ David A. Cox, "Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first", American Mathematical Monthly 118 Vol 1, January 2011, pp. 3–31. The mentioned statement is on p. 13.
^ David A. Cox, "Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first", American Mathematical Monthly 118 Vol 1, January 2011, pp. 3–31. See p. 10.

Biography (in German)
H. L. Dorwart, Irreducibility of polynomials, American Mathematical Monthly 42 Vol 6 (1935), 369–381, doi:10.2307/2301357. Reference to Schoenemann on page 370.

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[1] David A. Cox, "Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first", American Mathematical Monthly 118 Vol 1, January 2011, pp. 3–31. The mentioned statement is on p. 13.

[2] David A. Cox, "Why Eisenstein proved the Eisenstein criterion and why Schönemann discovered it first", American Mathematical Monthly 118 Vol 1, January 2011, pp. 3–31. See p. 10.

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