2450 General resolution of equations ; theory of Galois 2450 



tions. Tardy, 

 Tortolini A. 2 (1851) 197-. 

 equations. Galois, E. F&russac Bll. 



Sc. Mth. 13 (1830) 271-. 

 . Pacinotti, L. Pisa A. Un. Tosc. 



Sc. Cosm. 3 (1854) 77-. 

 . Bellavitis, G. Yen. At. 4 (1858- 



59) 55-. 

 . Syloiv, [L.I Sk. Nf. F. 8 (1860) 



536-. 

 . Jordan, C. Liouv. J. Mth. 12 



(1867) 105-. 

 . Dixon, T. S. E. Des Moines 



Anal. 9 (1882) 1-. 



. Tognoli,0. G. Mt. 28 (1890) 315-. 



. Sawin, A. M. A. Mth. 6 (1891- 



92) 169-. 

 . Giudice, F. Tor. Ac. Sc. At. 



28 (1893) 349-. 

 . Rodriguez, J. M. As. Fr. C. R. 



(1893) (Pt. 2) 289-. 

 . Ja 



Taggi, E. N. A. Mth. 13 (1894) 



126-. 

 Anharmonic algebraic equations. Autonne, . 



C. R. 130 (1900) 313-, 390-. 

 Arithmetical demonstration of fundamental 



theorems in algebra. Kneser, A. Crelle J. 



Mth. 102 (1888) 20-. 

 Coresolvents. Cockle, (Sir) J. [1865-75] 



Manch. Lt. Ph. S. P. 5 (1866) 13-; Viet. 



E. S. T. 7 (1866) 176- ; B. A. Ep. 37 (1867) 

 (Sect.) 3-; N. S. W. E. S. T. 1 (1867) 27-; 

 QJ. Mth. 10 (1870), 35- ; 14 (1877) 63-. 



Depression of equations. Gyory, S. (xn) 



Mag. Ak. Ets. (1847) 12. 

 , Gyfay's method. Vdllas, A. (xn) 



Mag. Ak. Ets. (1847) 12-. 

 Differential resolvent. Rawson, R. Mess. 



Mth. 4 (1875) 108-. 

 . Harley, (Rev.) R. B. A. Ep. (1891) 



566-. 

 of sextic equations with group of order 



360. Lachtin, L. K. Eec. Mth. (Moscou) 20 



(1899) 353-; Fschr. Mth. (1898) 78-; Mth. 



A. 51 (1899) 463-. 



resolvents. Cockle, (Sir) J. [1882] L. Mth. 

 S. P. 14 (1883) 18-. 



. Rawson, R. Manch. Lt. Ph. S. P. 21 



(1882) 59-. 



of equations, method of determining. 

 Rawson, R. L. Mth. S. P. 9 (1877-78) 202-. 



, (Rawson). Harley, (Rev.) 



R. L. Mth. S. P. 9 (1877-78) 216-. 



, theory. Harley, (Rev.) R. L. Mth. S. 



P. 1 (1866) No. 4, 10 pp. 



Discriminants of Galois's resolvents. Brioschi, 



F. C. E. 108 (1889) 878-. 



Equation of Lagrange's in " Connaissance des 

 Temps," 1821, lowering of degree. Cauchy, 

 A.L. C. E. 26 (1848) 27-. 



|- = 0, irreducibility when n is prime. 



Serret, J. A. Liouv. J. Mth. 15 (1850) 296. 

 Equations, coefficients of which are functions 

 of one variable, algebraic solubility. Fro- 

 benius, G. [1871] Crelle J. Mth. 74 (1872) 

 254-. 



Equations every root of which is rational 

 function of one. Bendixson, I. Stockh. 

 Ofv. (1891) 131- ; Toul. Fac. Sc. A. 7 (1893) 

 C, 7 pp. 



of form x s + ux + v = Q, algebraically resolv- 

 able. Runge, C. Acta Mth. 7 (1885) 173-. 



, general, of order above 4th irresolvable by 



radicals. Margiochi, F. S. Lisb. Ac. Sc. 



Mm. 7 (1821) 317-. 

 , higher, impossibilty of algebraic solution. 



Kneser, A. Crelle J. Mth. 106 (1890) 48-. 

 , , Jerrard's method. Hamilton, (Sir) W. 



R. B. A. Ep. (1836) 295-. 

 , , principles of solution. Young, G. P. 



Am. J. Mth. 6 (1884) 65-. 

 ,, , solution. Gy'dry, S. (xn) Mag. Ak. 



Ets. (1847) 48-. 

 , , . Studler, A. Dunkerque Mm. S. 



Encour. 11 (1866) 345-. 

 , , . Sinram, T. Arch. Mth. Ps. 68 



(1882)223-; 69 (1883) 111. 



irresolvable by radicals. Wantzel, L. N. A. 

 Mth. 4 (1845) 57-. 



of prime degree, algebraic resolution. 

 Dolbnia, J. Bll. Sc. Mth. 19 (1895) 27-. 



, soluble by radicals. Betti, E. 



Tortolini A. 2 (1851) 1-. 



, . Pellet, A. E. As. Fr. 



C. E. (1879) 245-. 



, primitive, degree # 2 (p an odd prime). 

 Jordan, C. Liouv. J. Mth. 13 (1868) 

 111-. 



, property of a class. Brioschi, F. [1864] 

 Mil. I. Lomb. Mm. 10 (1867) 21 pp. 



, roots not expressible as functions of coeffi- 

 cients. Liouville, J. [1835] Liouv. J. 

 Mth. 2 (1837) 56-; 3 (1838) 523-. 



, of which are algebraic functions of radi- 

 cals of 2nd degree. Chevillard, A. J. N. A. 

 Mth. 4 (1845) 467-. 



soluble algebraically. Kronecker, L. Berl. 

 B. (1853) 365-; (1856) 203-. 



. Despeyrous, C. Les Mondes 5 (1864) 



191- ; Liouv. J. Mth. 11 (1866) 9-. 

 . Boldt, G. G. [1878] Crelle J. 



Mth. 87 (1879) 1-. 

 , class. Abel, N. H. Crelle J. 4 (1829) 



131-. 

 , . Cordone, G. Palermo Cir. Mt. 



Rd. 10 (1896) 161-. 



by radicals. Soderberg, J. T. Ups. 

 Arsk. (1886) (Mt. Nt.) 38 pp. 



, form. Dolbnia, I. P. [1894] 



Rec. Mth. (Moscou) 17 (1895) 801- ; Bll.'Sc. 



Mth. 18 (1894) 130-. 

 , groups. Jordan, C. C. R. 58 



(1864) 963-. 

 , solution, and resolution into factors. 



Gyory, S. (xn) Mag. Tud. Ak. Ets. 2 



(No. 16) (1868) 291-. 

 , symbolic, non-linear, resolution. Cauchy, 



A. L. C. R. 22 (1846) 235-. 

 , theorems. Jordan, C. Liouv. J. Mth. 14 



(1869) 139-. 

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



(1846) 408-. 

 _, _. Gegenbauer, L. Mh. Mth. Ps. 6 



(1895) 12-. 



179 



M2 



