The history of polynomial factorization starts with Hermann Schubert who in 1793 described the first polynomial factorization algorithm, and Leopold Kronecker, who rediscovered Schubert's algorithm in 1882 and extended it to multivariate polynomials and coefficients in an algebraic extension.
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This became a topic of his Master's thesis titled "On the expansion of transcendental function in partial fractions. After publishing his thesis Bukreev went abroad and took lectures of Karl Weierstrass, Lazarus Fuchs, and Leopold Kronecker in Berlin. Bukreev undertook research on Fuchsian functions under Fuchs' guidance, which he completed in 1888 and which became the basis of his doctoral thesis "On the Fuchsian functions of rank zero" defended in 1889.
Cantor biographer Joseph Dauben argues that "local circumstances" refers to the influence of Leopold Kronecker, Weierstrass' colleague at the University of Berlin.
Before the 20th century, definitions of primality were inconsistent, and significant mathematicians such as Goldbach, Lambert, Legendre, Cayley, and Kronecker wrote that 1 was prime.