2450 



General resolution of equations ; theory of Galois 2450 



Irreducibility of algebraic functional equations 

 and linear differential equations. Koenigs- 

 berger, L. Berl. Ak. Sb. (1899) 672-. 



equations. Kronecker, L. Berl. Ak. 

 Mb. (1880) 155-. 



, Kronecker's conception. Valle, G. 



Em. N. Line. Mm. 11 (1895) 67-. 



Irreducible equations of prime degree, sol- 

 vable. Young, G. P. Am. J. Mth. 7 (1885) 

 270-. 



by radicals. Giudice, F. 



Palermo Cir. Mt. Ed. 1 (1887) 227-. 



Kirkman's method of solution. Harley, R. 

 [1868] Manch. Lt. Ph. S. P. 8 (1869) 



Kronecker's definition of the group of an 



equation. Bolza, O. Mth. A. 42 (1893) 



253-. 

 Lagrange's method of solution, examination. 



West, E. C. E. 91 (1880) 718-. 

 Literal equations, solution. Suremain-de-Mis- 



sery, A. Gergonne A. Mth. 7 (1816-17) 



257-. 

 , (Heger's paper). Petzval, J. Wien 



SB. 14 (1854) 201-. 

 , , method. Heger, I. Wien D. 12 



(1856) (Ab. 2) 109- ; 13 (1857) (Ab. 2) 



143-. 

 Numerical equations, irresolvable by radicals. 



Pellet, A. E. As. Fr. C. E. (1881) 



160-. 

 Eational functions of roots and group theory. 



Antaev, S. N. [1898] Eec. Mth. (Moscou) 



20 (1899) 472-; Fschr. Mth. (1898) 70. 

 Eeciprocal Abelian equations with roots of form 



x, e(x), 6*(x), ... d n ~ l (x). Mollame, V. Tor. 



Ac. Sc. Mm. 44 (1894) 293- ; Nap. Ac. At. 7 



(1895) No. 2, 40 pp. 

 Eeducibility of algebraic expressions. Seli- 



vanoff, D. Acta Mth. 19 (1895) 73-. 

 equations. Capelli, A. Nap. Ed. 36 



(1897) 243-; 37 (1898) 84-, 243-. 



, especially those of 5th order, with 

 linear parameters. Meyer, F. D. Nf. Tbl. 

 (1885) 174; Munch. Ak. Sb. 15 (1886) 

 415-. 



Eeduction of equation to chain of equations. 



Holder, O. Mth. A. 34 (1889) 26-. 

 equations. Pellet, A.E. C. E. 97 (1883) 



85-. 

 . Gelim, P. P. Kazan S. Nt. (Ps.- 



Mth.) P. 3 (1885) 2-. 



Bepresentation of equations by their deriva- 

 tives, and constants. Mossbrugger, L. 



Grunert Arch. 22 (1854) 447-. 

 Eesolution, exact, in all soluble cases. Young, 



G. P. QJ. Mth. 4 (1861) 341-. 

 Eesolvent of equation x m +px + q = 0. Pujet, A . 



C. E. 91 (1880) 611-. 



- . Pujet's treatment of problem. 

 Lachtin, L. K. [1893] Eec. Mth. (Moscou) 

 17 (1895) 334-. 



equations. Pellet, A. E. C. E. 88 (1879) 

 638. 



, Lagrange's, for equations of prime degree 

 soluble by radicals. Bianchi, L. A. Mt. 11 

 (1882-83) 255-. 



Eesolvents of algebraic equations. Minich, 



S. R. Yen. At. (1858-59) 127-. 

 , geometric representation. Klein, F. 



Mth. A. 4 (1871) 346-. 

 equations soluble by radicals, theorem. 



Betti, E. Tortolini A. 2 (1851) 102-. 

 . No cubic or biquadratic can be resolvent 



of general equation of order higher than 4th. 



Jefdbek, A. Casopis 21 (1892) 1-; Fschr. 



Mth. (1892) 94. 

 , theory. Konig, J. [1880] Mth. A. 18 (1881) 



78-. 

 Eoots of equation, expression for, by inversion 



of algebraic integral. Dillner, G. Stockh. 



Ofv. 40 (1883) No. 6, 3-. 

 , general expression for. Borenius, G. 



Stockh. Ak. Hndl. Bh. 8 (* 1883-84) No. 20, 



llpp. 

 in terms of coefficients. Dirksen, E. H. 



Berl. Ab. (1834) 577-. 



equations, analytical construction. 

 Dantscher von Kollesberg, V. Innsb. Nt. 

 Md. B. 17 (1887) 6-. 



, representation by repeating function 



of one root. Minding, E. F. A. Crelle J. 



20 (1840) 168-. 

 general algebraic equation, recent formula 



to express. Favero, G. B. Em. E. Ac. Line. 



Bd. 7 (1891) (Sem. 1) 373-. 



higher equations as multipliers of 1st 

 degree. Gy'dry, S. (xn) Mag. Tud. Ak. fits. 

 1 (No. 9) (1867) 169-. 



Euffini-Abelian theorem. Pierpont, J. N. Y. 



Am. Mth. S. Bll. 2 (1896) 200-. 

 Solubility of algebraic equations. Falck, H. 



Svea 13 (1831) 426-. 



. Minich, S. R. Ven. At. 



(1857-58) 629-; Ven. I. At. 7 (1880-81) 

 905-. 



Solution by algebraic and geometric theory of 

 operations. Zmurko, L. [1881] Wien Ak. 

 D. 44 (1882) (Ab. 2) 59-. 



of equations by one another. Jordan, C. 

 Liouv. J. Mth. 16 (1871) 1-. 



by Gauss's scheme for complex quantities. 

 Eaabe, A. Wien Sb. 63 (1871) (Ab. 2) 

 733-. 



irrational functions. Mainardi, G. Em. 



At. N. Line. 20 (1867) 153-. 

 the normal form. Lipps, G. F. Z. Mth. 



Ps. 38 (1893) 321- ; 39 (1894) 1-, 65-. 



partial differential equations. Raabe, 

 J. L. [1850] Crelle J. 48 (1854) 167-. 



radicals. Galois, E. Liouv. J. Mth. 11 



(1846) 417-. 

 _. Minich, S. R. Ven. At. 11 (1865- 



66) 243-. 

 . Cayley, A. Ph. Mg. 36 (1868) 



386-. 

 . Cockle, (Sir) J. [1876] QJ. Mth. 



15 (1878) 65-. 

 , form of expression. Mossbrugger, L. 



Grunert Arch. 14 (1850) 113-. 



, of irreducible equations. Sylow, L. 

 [1868] Sk. Nf. F. 10 (1869) 257-. 



roots of higher order. Guldberg, A. S. 



Christiania F. (1877) No. 3, 40 pp. 



183 



