2450 Equations, 5th order 



Hermite's solution. Krey, H. Z. Mth. Ps. 25 



(1880) 129-. 

 and higher, existence of finite solutions. 



Cockle, Jas. Ph. Mg. 28 (1846) 190-, 



395-. 

 History of theory. Pierpont, J. Mh. Mth. Ps. 



6 (1895) 15-. 

 Irreducible, solution. Young, G. P. Am. J. 



Mth. (1885) 170-. 

 , , criteria. Luther, E. Crelle J. 34 



(1847) 244-. 



Klein's results. Brioschi, F. [1876] Bm. E.- 

 Ac. Line. T. 1 (1877) 31-. 

 Kronecker's method. Brioschi, F. Mil. At. I. 



Lomb. 1 (1858) 275-. 

 Malfatti's method. Ruffini, P. Mod. S. It. 



Mm. 12 (1805) 321-. 



resolvent. Brioschi, F. Mil. Mm. I. Lomb. 

 9 (1863) 215-. 



. Giudice, F. Tor. Ac. Sc. At. 27 (1892) 



817-. 

 Beduction to Bring' s form by Tschirnhausen 



transformation. Sievers, J. [1867] As. Nr. 



70 (1868) 353-. 

 Bemoval of terms. Heal, W. E. Des Moines 



Anal. 6 (1879) 78-. 

 Sextic resolvent. Minich, S. R. Yen. At. 8 



(1862-63) 799-. 

 and 6th, nature of roots. Bonati, T. [1798] 



Mod. Mm. S. It. 8 (1799) 231-. 



, solution. Cockle, Jas. QJ. Mth. 4 

 (1861) 49- ; 5 (1862) 1-. 



, by construction. Grunert, J. A. 



Grunert Arch. 27 (1856) 245-. 

 , theory. Clebsch, R. F. A. Gott. Nr. 



(1871) 103-. 



and 7th, a class of algebraically re- 

 solvable. Mandl, M. Wien Ak. Sb. 94 

 (1887) (Ab. 2) 246-. 



Solubility by radicals, case. Perrin, R. [1882] 



Par. S. Mth. Bll. 11 (1883) 61-. 

 Soluble by radicals. Bugaev, N. V., & Lachtin, 



L. K. [1890] Bee. Mth. (Moscou) 15 (1891) 



83-. 

 . Factorisation of certain equation of 



order P ^ P ~ ^ [p prime]. Antaev, S. N. 



[1894] Bee. Mth. (Moscou) 17 (1895) 544- ; 



Fschr. Mth. (1893-94) 156-. 

 Solvable cases. Cayley,A. QJ. Mth. 18 (1882) 



154- ; Am. J. Mth. 13 (1891) 53-. 

 , with commensurable coefficients. Young, 



G. P. Am. J. Mth. 10 (1888) 99-. 



form, new. Cockle, Jas. QJ. Mth. 2 (1858) 



forms. Young, G. P. QJ. Mth. 5 (1862) 

 212-. 



, solution. Young, G. P. [1883] Cn. I. P. 2 



(1884) 127-. 

 Synthesis. Beitler, G. T. F. [1802] (vi Adds.) 



St Pet. Ac. Sc. N. Acta 15 (1806) 191-. 

 Theorem on solvability. Hamilton, (Sir) W. R. 



Ph. Mg. 8 (1836) 538- ; 9 (1836) 28-. 

 Theorems. Roberts, M. (vm) A. Mt. 4 



(1861) 50-. 

 Theory, further researches in. McClintock, E. 



[1897] Am. J. Mth. 20 (1898) 157-. 



Equations, 6th order 2450 



Equations, 5th order, continued. 

 Transformation. Brioschi, F. A. Mt. 16 

 (1888-89) 181-. 



and solution. Schlomilch, 0. [ascribed to 

 Jerrard and Hermite in Vol. Hi], Schlomilch 

 Z. 4 (1859) 77-. 



, elementary exposition. Heymann, W. 



Z. Mth. Ps. 42 (1897) 81-, 113-. 

 Transformations connected with solution. 



Jerrard, G. B. (vi Adds.) Ph. Mg. 7 (1835) 



202-. 



.Jerrard's. Tortolini,B. A. Mt. 6 (1864) 33-. 

 Tschirnhausen's transformation applied. 



Lavagna, G. M. Tortolini A. 1 (1858) 238-. 



Equations, 6th order. 



Joubert, . C. B. 64 (1867) 1025-, 1081-, 1237-. 

 Brioschi, F. Acta Mth. 12 (1889) 83-. 

 Certain. Hesse, L. 0. Crelle J. 41 (1851) 264-. 

 Class. Brioschi, F. Par. EC. Norm. A. 12 

 (1895) 343-. 



solvable by hypergeometric series. Besso, D. 

 [1882] Em. B. Ac. Line. Mm. 14 (1883) 30-. 



with five equal roots. Cayley, A. QJ. Mth. 1 



(1857) 257-. 



General. Cole,F.N. Am. J. Mth. 8 (1886)265-. 

 Irreducible, application of group theory. Glage, 



F. Mh. Mth. Ps. 11 (1900) 155-. 

 , solvable algebraically, factors and resolvents. 



Luther, E. Crelle J. 37 (1848) 193-. 

 Jacobi and Kronecker , sextic resolvent equations. 



Cayley, A. Crelle J. Mth. 113 (1894) 42-. 

 Jacobian sextic equation. Cayley, A. QJ. 



Mth. 18 (1882) 52- ; Mth. A. 30 (1887) 78-. 



. Brioschi, . QJ. Mth. 28 (1896) 382-. 



Lagrange's sextic. Sawin, A. M. [1891] A. 



Mth. 6 (1891-92) 1-. 

 Normal form. Brioschi, F. Em. B. Ac. Line. 



Bd. 4 (1888) (Sem. 1) 301-, 485-. 

 Numerical. Vincent, A. J. H. N. A. Mth. 10 



(1851) 275-. 



and 7th. Klein, F. Mth. A. 28 (1887) 499-. 

 Solution. Maschke, H. Em. E. Ac. Line. Bd. 



4 (1888) (Sem. 1) 181-. 

 . Brioschi, F. Em. E. Ac. Line. Ed. 4 



(1888) (Sem. 1) 183-. 

 . Klein, F. Em. E. Ac. Line. Ed. 8 (1899) 



(Sem. 1) 324. 

 Theory, contribution to. Reicluirdt, W. Leip. 



Mth. Ps. B. 37 (1885) 419-. 



Equations, 7th order. Kronecker, L. Berl. 



Mb. (1858) 287-. 

 , . Klein, C. F. Erlang. Ps. Md. S. 



Sb. 10 (1878) 110-, 119-. 

 , , with group of 168 substitutions. 



Gordan, P. Mth. A. 20 (1882) 515- ; 25 



(1885) 459-. 

 , , solution. Radford, E. M. QJ. Mth. 



30 (1899) 263-. 

 , , , nomographic. Ocagne, M. d\ 



C. E. 131 (1900) 522-. 

 , and 8th orders, certain. Klein, C. F. 



Mth. A. 15 (1879) 251-. 

 , , general. Moore, E. H. Mth. 



A. 51 (1899) 417-. 



181 



