Algebraic numbers; Ideals; Resolvable Forms 



2870 



Decomposition of numbers / 12 - 9# 12 into two 



cubes. Henry, C. N. A. Mth. 20 (1881) 



418-. 

 Dirichlet's biquadratic number-field. Hilbert, 



D. Mth. A. 45 (1894) 309-. 

 Divisors of certain polynomials and existence 



of certain primes. Genocchi, A. C. B. 98 



(1884) 411-. 

 complex numbers, theorems. Gegenbauer, 



L. Mh. Mth. Ps. 1 (1890) 39-. 

 , elementary, of compounded matrices. Hen- 



sel, K. Crelle J. Mth. 114 (1895) 109-. 

 , , theory and applications. Sauvage, L. 



Par. lie. Norm. A. 8 (1891) 285-; 10 (1893) 



9-. 

 , , of two systems. Hensel, K. Crelle J. 



Mth. 117 (1897) 346-. 

 , fundamental, of algebraic systems. Hensel, 



K. Crelle J. Mth. 117 (1897) 333-. 

 , , system with reference to two diffe- 

 rent rational fields. Hensel, K. Crelle J. 



Mth. 118 (1897) 173-. 

 Dual group generated by three moduli. Dede- 



kind, R. Mth. A. 53 (1900) 371-. 

 Equation F (x, y, z) = $ (a) <f> (ft) . . . = 1. Lejeune- 



Dirichlet, G. C. E. 10 (1840) 285-. 



F (x, y, z) = <p (a) <f> (ft) . . . = 1 (Lejeune-Dirich- 

 let). Libri, G. C. E. 10 (1840) 311-. 



Equivalences, theory. Grunert, J. A. Arch. 



Mth. Ps. 44 (1865) 443-; 45 (1866) 454-. 

 Factorisation of function with respect to prime 



modulus p. Pellet, A. E. C. E. 86 (1878) 



1071-. 

 , complex, of primes, theorem. Cellerier, C. 



Gen. S. Ps. Mm. 32 (1894-97) No. 7, 61 pp. 

 x n _ a i n arbitrary field. Wendt, E. Mth. 



A. 53 (1900) 450-. 

 Functions of several variables, irreducibility. 



Bendixson, I. Stockh. 6fv. (1892) 189-. 

 , matrices. Kronecker, L. Berl. 



Mb. (1869) 159-, 688-. 



, two biquadratic, of 4 variables, whose pro- 

 duct is a similar function. Tortolini, B. 



Tortolini A. 2 (1859) 9-. 

 Fundamental equation of a class for a real 



prime as modulus. Hensel, K. Crelle J. 



Mth. 113 (1894) 61-. 



system and discriminant of classes of alge- 

 braic numbers. Landsberg, G. Crelle J. 

 Mth. 117 (1897) 140-. 



Galoisian number-fields. Hilbert, D. Gott. 

 Nr. (1894) 224-. 



Galois's imaginaries, operation symbols involv- 

 ing. Le Vavasseur, . Toul. Ac. Sc, Mm. 

 9 (1897) 247-. 



Greatest common divisor. Gegenbauer, L. 

 Wien Ak. Sb. 101 (1892) (Ab. 2a) 1143-. 



, theorem. Mertens, F. Wien Ak. Sb. 



101 (1892) (Ab. 2a) 1560-. 



Groups of functions, representation by a basis. 

 Ritter, E. Gott. Nr. (1895) 158-. 



Ideal complex numbers, properties of class- 

 number. Kronecker, L. Berl. Mb. (1870) 

 881-. 



division of algebraic quantities by real 

 primes. Hathaway, A. S. J. H. Un. Cir. 

 [4] (1885) 79. 



2870 



Ideals. Hathaway, A. S. Am. J. Mth. 9 

 (1887) 162-. 



in algebraic number-field, existence of 

 primitive numbers. Wiman, A. Stockh. 

 Ofv. (1899) 879-. 



, Dedekind's. Baur, L. Mth. A. 32 (1888) 



151-. 

 , Dedekind-Weber, in a hyper-elliptic field. 



Baur, L. Mth. A. 41 (1893) 491-. 



and higher congruences, connection of 

 theories. Dedekind, R. Gott. Ab. 23 (1878) 

 5-. 



, theory. Dedekind, R. Gott. Nr. (1894) 



272-; (1895) 106-. 



, . Hurwitz, A. Gott. Nr. (1894) 291-. 

 , . Furtwdngler, P. Gott. Nr. (1895) 



381-. 

 Integral functions. Heine, H. E. [1852] Crelle 



J. 48 (1854) 237-, 243-. 



. with binomial divisors. Hill, C. J. D. 

 Crelle J. 70 (1869) 103-. 



of integers, irreducible factors. Runge, C. 



Crelle J. Mth. 99 (1886) 89-. 

 , . Mandl, M. Crelle J. Mth. 



113 (1894) 252-. 

 , modular factors. Cauchy, A. L. C. E. 



24 (1847) 1116-. 



polynomials with prime divisors of assigned 

 form. Lefebure, A. C. E. 98 (1884) 293-, 

 413-, 567-, 613- ; Par. EC. Norm. A. 1 (1884) 

 389-; 2 (1885) 113-. 



several variables, resolution into 

 factors. Hancock, H. Par. EC. Norm. A. 17 

 (1900) 89-. 



, linear elements. Meray, C. 



Par. EC. Norm. A. 2 (1885) 289-. 

 Modular systems, decomposition. Moore, E. H. 



N. Y. Am. Mth. S. Bll. 3 (1897) 372-. 

 and general complex numbers, theory. 



Kronecker, L. Berl. Ak. Sb. (1888) 429-, 



447-, 557-, 595-, 983-. 



, Kronecker's, canonical forms for. Han- 

 cock, H. Crelle J. Mth. 119 (1898) 148-. 

 , , reduction. Hancock, H. QJ. Mth. 



27 (1895) 147- ; Crelle J. Mth. 122 (1900) 



265-. 

 , relations between. Fund, O. Hamb. 



Mth. Gs. Mt. 3 (1900) 325-. 



of second rank, elementary properties 

 of pure. Hensel, K. Crelle J. Mth. 119 

 (1898) 175-. 



, and rings of numbers. Lands- 

 berg, G. Gott. Nr. (1897) 277-. 

 Moduli, extension of symbol (a, b) in theory. 



Dedekind, R. Gott. Nr. (1895) 183-. 

 , theory. Steinitz, E. Mth. A. 52 (1899) 1-. 

 Numbers, as sum of 2 cubes. Lenhart, W. 



[1836] Mth. Misc. 1 (1838) 114-. 

 Pairs of forms xy (x* - y 4 ) whose product or 



quotient is square. Euler, L. St P6t. Ac. 



Sc. Mm. 11 (1830) 31-. 

 Period equation of numbers formed with Xth 



roots of unity. Stouff, X. C. E. 125 (1897) 



859-. 

 Polynomial of several variables, test for facto- 



risability. Laurent, H. N. A. Mth. 12 (1893) 



315-. ' 



221 



