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1894
Johann Gustav Hermes (1846-1912) completes his 12-year effort to calculate the 65537th root of unity using square roots. 1895
Emory McClintock (1840-1916) gives series solutions for all the roots of a polynomial. 1895-1910
Klein, Leonid Lachtin (1858-1927), Paul Gordan (1837-1912), Heinrich Maschke (1853-1908), Arthur Byron Coble (1878-1966), Frank Nelson Cole (1861-1926), and Anders Wiman (1865-1959) develop the fundamentals of how to solve a sextic via Klein's approach. 1915
Robert Hjalmal Mellin (1854-1933) solves an arbitrary polynomial equation with Mellin integrals.
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1905-1925
R. Birkeland shows that the roots of an algebraic equation can be expressed using hypergeometric functions in several variables. Alfred Capelli (1855-1910), Guiseppe Belardinelli (1894-?), and Salvatore Pincherle (1853-1936) express related ideas. 1926
Paul Emile Appell (1855-1930) and Joseph Marie Kampe de Feriet (1893-1982) recognize the hypergeometric functions in the series solution of the quintic. 1932
Andre Bloch (1893-1948) and George Polya (1887-1985) investigate the zeros of polynomials of arbitrary degree with random coefficients. 1934
Richard Brauer (1901-1977) analyzes Klein's solution of the quintic using the theory of fields.
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