2840 Bilinear Forms 



Binary forms. Battaglini, G. Rm. R. Ac. 

 Line. Rd. 1 (1885) 691- ; Nap. Ac. At. 2 

 (1888) No. 6, 14 pp. 



Cogredient and adjoint automorphic trans- 

 formations. Voss, A. [1896] Munch. Ak. 

 Sb. 26 (1897) 211-. 



automorphic transformations. Voss, A. 

 Munch. Ak. Ab. 17 (1892) 235-; Munch. Ak. 

 Sb. 26 (1897) 1-, 281. 



transformations. Frobenius, G. Berl. Ak. 

 Sb. (1896) 7-. 



Congruent transformations. Kronecker, L. 



Berl. Ak. Mb. (1874) 397-. 

 Conjugate automorphic transformations. Voss, 



A. Munch. Ak. Sb. 19 (1890) 175-. 

 . Lihcy,A. Munch. Ak. Sb. 26 (1897) 



25-. 

 Elementary divisors in bilinear forms. Kantor, 



S. Mh. Mth. Ps. 11 (1900) 193-. 

 Families. Frobenius, G. Ziir. Vjschr. 41 (1896) 



(Festschr., Th. 2) 20-. 

 . Weber, E. von. Munch. Ak. Sb. 



, algebraic reduction. Kronecker, L. Berl. 



Ak. Sb. (1890) 1225-. 



Forms with conjugate complex variables. 



Loewy, A. Ac. Nt. C. N. Acta 71 (1898) 377- ; 



Mth. A. 50 (1898) 557-. 



permutable into given bilinear form . Voss , A . 

 Munch. Ak. Sb. 19 (1890) 283-. 



Fundamental systems and bilinear forms. 



Landsberg, G. Crelle J. Mth. 116 (1896) 



331-. 

 Invariant, skew, of bilinear or quadratic form. 



Frobenius, G. [1878] Crelle J. Mth. 86 (1879) 



Invariants of different classes of bilinear forms. 

 Rosenow, H. Crelle J. Mth. 108 (1891) 1-. 



one and two bilinear forms. Mertens, F. 



Krk. Ak. (Mt.-Prz.) Pam. 10 (1885) 26 (bis)-; 

 Fschr. Mth. (1885) 85. 



Linear oo ^-groups of bilinear forms, equiva- 

 lence. Kantor, S. Munch. Ak. Sb. 27 (1898) 

 367-. 



substitutions and bilinear forms. Frobenius, 

 G. [1877] Crelle J. Mth. 84 (1878) 1-. 



Pairs of forms. Del Re, A. Rm. R. Ac. Line. 



Rd. 6 (1890) (Sem. 1) 237-. 

 Quaternary forms. Battaglini, G. [1881] Rm. 



R. Ac. Line. Mm. 12 (1882) 233-. 

 . Kronecker, L. Berl. Ak. Ab. (1883) 



60 pp. 

 Reduction. Jordan, C. C. R. 78 (1874) 614-. 



to sum of products by orthogonal substitu- 

 tion. Sylvester, . Mess. Mth. 19 (1890) 

 42-. 



Relations with reciprocal forms. Segre, C. 



G. Mt. 22 (1884) 29-. 

 Representation, typical. Frahm, W. Erlang. 



Ps. Md. S. Sb. 6 (1874) 74-. 

 Similar forms. Sforza, G. G. Mt. 32 (1894) 



293-; 33 (1895) 80-; 34 (1896) 252-. 

 Ternary forms. Muth, P. Mth. A. 42 (1893) 



257-. 

 , geometric representation. Battaglini, G. 



[1880] Rm. R. Ac. Line. Mm. 9 (1881) 3-. 

 of Hermite. Kollros, L. C. R. 131 



(1900) 173-. 



Higher Congruences 2850 



Ternary forms, pairs. Del Re, A. Rm. R. Ac. 



Line. Rd. 7 (1891) (Sem. 2) 88-. 

 Transformation. Jacobi, C. G. J. Crelle J. 



53 (1857) 265-. 



. Koch, H. von. Stockh. Ofv. (1900) 335-. 

 Weierstrass's theorem. Calb, B. A. Mt. 23 



(1895) 159-. 



theorems on two forms, generalisation. 

 Christoffel, E. B. Crelle J. 63 (1864) 255-. 



2850 Congruences other than 

 linear; cubic and higher resi- 

 dues. 



Associated numbers of Euler, and a property 

 of primes. Binet, J. P. M. C. R. 13 (1841) 

 210-. 



, Fermat's and Wilson's theorems. 

 Lejeune-Dirichlet, G. Crelle J. 3 (1828) 

 390-. 



, Lejeune-Dirichlet's theory generalised. 



Terquem, 0. N. A. Mth. 4 (1845) 379-. 

 , Wilson's theorem generalised. Prouhet, 



E. N. A. Mth. 4 (1845) 273-. 

 Bimodular congruences. Dina, C. G. Mt. 21 



(1883) 234-. 

 Binomial congruences. Serret, J. A. N. A. 



Mth. 14 (1855) 261-. 

 . Pepin, T. Rm. N. Line. At. 38 (1885) 



201-. 



. Mirimanoff, D. Crelle J. Mth. 109 

 (1892) 82-. 



, exponential to base 3. Bouniakowsky , V. 



[1869] St Pet. Ac. Sc. Bll. 14 (1870) 



356-. 

 , extension of Fermat's theorem. Horner, 



W. G. Thomson A. Ph. 11 (1826) 81-. 

 , and Wilson's theorems. Mitchell, 



0. H. Am. J. Mth. 3 (1880) 294-. 



. Indices relative to prime modulus p. 

 - Stern, M. A. Crelle J. 6 (1830) 147-. 



. . Frattini, G. G. 



. Mt. 18 (1880) 369-. 



, modulus p or p n , where p is a prime. 



Alagna, R. Palermo Cir. Mt. Rd. 13 (1899) 



99-. 

 , primitive roots. Oltramare, G. Crelle 



J. 49 (1855) 161-. 

 , . Gegenbauer, L. Wien Ak. Sb. 



95 (1887) (Ab. 2) 843-. 

 , , theorem by Cebysev. Allegret, 



A. N. A. Mth. 16 (1857) 309-. 

 , solutions of certain, table. Jacobi, C. G. 



J. Crelle J. 3 (1828) 301-. 

 , theorem. Bugaev, N. V. [1897] Rec. 



Mth. (Moscou) 20 (1899) 171- ; Fschr. Mth. 



(1897) 166. 



, nth degree, solution. Speckmann, G. 

 Arch. Mth. Ps. 17 (1900) 110-. 



, (mod. p, f(x)). Mitchell, 0. H. [1881] 



(xn) J. H. Un. Cir. [1] (1882) 132. 



equations with prime modulus, composition 

 of roots. Le Besgue, V. A. C. R. 62 (1866) 

 20-. 



Biquadratic residue-character. Gmeiner, J. A. 

 Wien Ak. Sb. 100 (1891) (Ab. 2a) 1093-. 



214 



