2830 Quadratic binary forms 



Preobrazenskij, P. V. [1890] Eec. Mth. 



(Moscou) 15 (1891) 118- ; Mosc. S. Sc. Bll. 



65 (No. 1) (1890) 62-; Fschr. Mth. (1890) 



215, 215-. 



Tano, F. Bll. Sc. Mth. 14 (1890) 215-. 

 Pepin, . C. E. 119 (1894) 397-; 120 (1895) 



494. 

 Bauer, M. Mth. Termt. Ets. 13 (1895) 316- ; 



Mth. Nt. B. Ung. 13 (1897) 37-. 

 Jonquieres, de. C. E. 126 (1898) 991-, 



1077-, 1177. 

 Automorphs. Tanner, H. W. L. Mess. Mth. 



24 (1895) 180-. 

 Classification. Pepin, T. Em. N. Line. At. 33 



(1880) 354-. 

 Class-number. Arndt, F. Crelle J. 56 (1859) 



72-. 



. Liouville,J. Liouv. J. Mth. 14 (1869) 1-. 



(Liouville). Stieltjes, T. J. (jun.) C. E. 



97 (1883) 1358-, 1415-. 

 , Dirichlet's formula. Arndt, F. Crelle 



J. 56 (1859) 100. 

 , . Lerch, M. Prag CesfoS Ak. Fr. 



Jos. Ez. (Trida 2) 7 (1898) Art. 5, 51 pp. ; 



Prag Fr. Jos. Ac. Sc. Bll. (Mth. Nt.) 5 



(1898) 33-. 

 , formulae. Lerch, . Bll. Sc. Mth. 21 



(1897) 290-. 



, Legendre's symbol and Moebius's 

 numbers. Lerch, M. Prag Ceske Ak. Fr. 

 Jos. Ez. (Trida 2) 7 (1898) Art. 6, 12 pp. ; 

 Prag Fr. Jos. Ac. Sc. Bll. (Mth. Nt.) 5 



(1898) 33-. 



relations. Gegenbauer, L. Wien Ak. Sb. 



93 (1886) (Ab. 2) 288-. 



and modular correspondences of prime 

 degree. Hunvitz, A. Leip. Mth. Ps. B. 37 

 (1885) 222-. 



-numbers, Dirichlet's functions 



F(s) = 2 (^] . i. Hurwitz,A. Z. Mth. 



Ps. 27 (1882) (H. -It. Ab.) 86-. 

 Complex forms. Smith, H. J. S. E. S. P. 13 



(1864) 278-. 

 Composition. Lejeune-Dirichlet, G. Crelle J. 



47 (1854) 155- ; Liouv. J. Mth. 4 (1859) 389-. 

 . Schlfijli, L. Crelle J. 57 (1860) 170-. 

 . Pepin, T. [1879] Em. N. Line. At. 33 



(1880) 6-. 



. Klein, F. Gritt. Nr. (1893) 106-. 

 . Mertens, F. Wien Ak. Sb. 104 (1895) 



(Ab. 2a) 103-,. 

 . La Vallee Poussin, C. J. de. Brux. Mm. 



Cour. 8, 53 (1895-96) No. B, 59 

 , Dirichlet's metho 

 Ofv. 35 1893 57-. 



9 pp. 



, Dirichlet's method. Levdnen, S. Helsingf. 



Concordant and discordant numbers. Euler, 



L. [1780] St Pet. Ac. Sc. Mm. 8 (1822) 3-. 

 ---- , Euler's view. Degen, C. F. [1823] 



St Pet. Mm. Sav. Etr. 1 (1831) 29-. 

 Congruence x 2 + y*=l (mod. p). Schonemann, 



T. Crelle J. 19 (1839) 93-. 

 x*-Dy'* = \ (mod. p). Frattini, G. [1884] 



Em. E. Ac. Line. Ed. 1 (1885) 136-. 

 Congruence, 2nd degree, number of roots. 



Berger, A. Stockh. Ofv. (1887) 127- ; 



Fschr. Mth. (1887) 181-. 



Quadratic binary forms 2830 



Congruences, 2nd degree, numerical solution 



for every simple modulus. Kunerth, A. 



[1878] Wien Ak. Sb. 78 (1879) (Ab. 2) 338-. 

 , with prime modulus, resolution. 



Bugaev, N. V. [1881] (xn) Eec. Mth. 



(Moscou) 10 (1882-83) (Pt. 1) 103-. 

 Conjugate forms, arithmetical theory. Mathews, 



G. B. QJ. Mth. 27 (1895) 230-. 

 Connexion. Cunningliam, (Lt.-Col.) A. [1896] 



L. Mth. S. P. 28 (1897) 289-. 

 Decomposition of number into difference of 



2 squares. Sahara, A. Arch. Mth. Ps. 61 



(1877) 446-. 

 numbers into quadratic binary forms. 



Jonquieres, E. de. As. Fr. C. E. (1878) 40-; 



C. E. 87 (1878) 399- ; N. A. Mth. 17 (1878) 



419-, 433-. 

 sum of 2 squares. Kausler, C. F. 



[1800] St Pet. Ac. Sc. N. Acta 14 (1805) 



232-. 

 . Volpicelli, P. Palomba 



Eac. 5 (1849) 263, 313, 392, 402 ; Em. At. 4 



(1850-51) 508-. 

 . Muir, T. L. Mth. S. 



P. 8 (1876-77) 215-. 

 . Roberts, S. L. Mth. 



S. P. 9 (1877-78) 187-. 

 . Glaisher, J. W. L. 



QJ. Mth. 19 (1883) 212-. 

 . McDonald, J. H. 



Cn. E. S. P. & T. 6 (1900) (Sect. 3) 77-. 

 , Gauss's formulae. 



Volpicelli, P. Tortolini A. 1 (1850) 527-; 



Em. At. 4 (1850-51) 22-, 71-. 

 , . Genocchi, A. 



N. A. Mth. 13 (1854) 158-. 

 , rectification of formulae. 



Volpicelli, P. [1853] Tortolini A. 5 (1854) 



176. 

 product into sum of two squares. Unfer- 



dinger, F. Arch. Mth. Ps. 49 (1869) 116-. 

 square into two others. Votyicelli, P. N. 



A. Mth. 9 (1850) 305-. 



Determinants, irregular, formation. Perott, J. 



Crelle J. Mth. 95 (1883) 232-; 96 (1884) 327-. 

 , and subtriplicate forms. Mathews, G. B. 



Mess. Mth. 20 (1891) 70-. 

 , irregularity. Lejeune-Dirichlet, G. Berl. 



B. (1853) 194-. 



Diophantine relation j/ 2 + y'~ = square. Cayley, 



A. L. Mth. S. P. 20 (1889) 122-. 

 Diophantus and quadratic forms. Jacobi, 



C. G. J. Berl. B. (1847) 265-. 

 Dirichlet's investigation, extension. Bach- 



mann, P. Mth. A. 16 (1880) 537-. 

 " Disquisitiones Arithmeticae " (Gauss) No. 



162, extension. Jonquieres, de. C. E. 



127 (1898) 596-. 

 Divisor of sum of two squares. Euler, L. 



[1778] St Pet. Ac. Sc. N. Acta 15 (1806) 29-. 

 , Fermat's theorem. Catalan, 



E. C. Liege S. Sc. Mm. 15 (1888) No. 1, 11-. 

 of same form. Eugenia, V. 



G. Mt. 8 (1870) 162-. 

 Divisors of form y^ + Az 2 , number of classes. 



Jacobi, C. G. J. Crelle J. 9 (1832) 189-. 

 numbers of form mx- + ny 2 . Euler, L. 



[1778] St Pe"t. Ac. Sc. Mm. 5 (1815) 3-. 



206 



