2830 Quadratic binary forms 



Equations, t' 2 - Du- = - 1 . Jonquieres, de. 



C. B. 126 (1898) 1837-. 

 . x 2 + y* = z*. Graeber, . Arch. Mth. Ps. 



17 (1900) 36-. 

 Equivalent substitutions. Hermes, J. [1882] 



Crelle J. Mth. 95 (1883) 165-. 

 Extended system of forms. Gordan,P. Mth. 



A. 33 (1889) 372-. 

 Factorisation by binary quadratic forms. 



LevSnen, S. Helsingf . Ofv. 34 (1892) 334- ; 



Fschr. Mth. (1892) 165. 

 Form x 2 + y a . Genocchi, A. Tortolini A. 5 



(1854) 491-. 

 Forms, binary and ternary. Selling, E. [1874] 



Liouv. J. Mth. 3 (1877) 21-, 153-. 



with complex coefficients. Mathews, G. B. 

 QJ. Mth. 25 (1891) 289-. 



determinant, class-number, Dirichlet's 



formula. Mathews, G. B. L. Mth. S. P. 23 



(1892) 159-. 

 conjugate indeterminates. Picard, E. 



C. B. 96 (1883) 1567-. 

 , indefinite. Picard, E. Par. EC. 



Norm. A. 1 (1884) 9-. 

 given determinant, class-number. Pepin, 



T. Par. EC. Norm. A. 3 (1874) 165-. 



negative determinant. Kronecker, L. 

 Berl. Ak. Mb. (1875) 223-. 



. Hermite, . Bll. Sc. Mth. 10 



(1886) 23-. 

 . Aladow, J. S. Fschr. Mth. (1899) 



201-. 



, class-number. Kronecker, L. 

 Crelle J. 57 (1860) 248-. 



, . Gegenbauer, L. Wien Ak. 



Sb. 93 (1886) (Ab. 2) 54-. 

 , . Hurwitz, A. Crelle J. 



Mth. 99 (1886) 165- ; Acta Mth. 19 (1895) 351-. 

 , . Lerch, M. C. B. 121 



(1895) 878-. 



- , , function expressing. 



Limtville, J. C. B. 62 (1866) 1350-. 

 , of primitive. Hacks, J. 



Acta Mth. 14 (1890-91) 321-. 



, relations. Gierster, J. 

 [1879-83] Mth. A. 17 (1880) 71-, 74-; 21 

 (1883) 1-; 22 (1883) 190-. 



, . Hurwitz, A, Leip. 

 Mth. Ps. B. 36 (1884) 193- ; Mth. A. 25 

 (1885) 157-. 



, numbers. Berger, A. [1882] 



Ups. S. Sc. N. Acta 11 (1883) Wo. 7) 

 22 pp. 



, mean class-number. Gegen- 

 bauer, L. Wien Ak. Sb. 92 (1886) (Ab. 2) 

 1807-. 



, property. Kronecker, L. Berl. 



Mb. (1862) 302-. 

 determinants, periods. Simerka, W. 



Wien SB. 31 (1858) 33-. 

 discriminant, class-number. Lerch, 



M. Prag Ceske Ak. Fr. Jos. Bz. (Tfida 2) 



7 (1898) Art. 4, 16 pp. ; Fschr. Mth. (1898) 



, representation of whole numbers 



by. Gegenbauer, L. Wien Ak. Sb. 92 (1886) 

 (Ab. 2) 380-. 



Quadratic binary forms 2830 



Forms with negative discriminant, theory of 



elliptic functions applied to. Petr, K. Prag 



Ceskf* Ak. Fr. Jos. Bz. (Tfida 2) 9 (1900) 



Art. 38, 17 pp. ; Fschr. Mth. (1900) 212-. 

 positive determinant. Lejeune-Dirichlet, 



G. Berl. Ab. (1854) (Mth.) 99-; Liouv. J. 



Mth. 2 (1857) 353-. 

 . Mertens, F. Crelle J. Mth. 89 



(1880) 332-. 

 . Vivanti, J. Z. Mth. Ps. 31 



(1886) 273-; 32 (1887) 287-. 

 , equivalence of reduced. Mertens, 



F. Wien Ak. Sb. 103 (1894) (Ab. 2a) 



995. 

 , property. Lejeune-Dirichlet, G. 



Berl. B. (1855) 493-. 



reducible to (a, o, c), (a, ia, c), and (a, b, a). 

 Fields, J. C. [1885] J. H. Un. Cir. [5] (1885- 

 86) 38. 



representing same numbers. Schering, E. 

 Liouv. J. Mth. 4 (1859) 253-. 



, semi-definite. Rados, G. Mth. Termt. 



Ets. 13 (1895) 191-. 

 Functions Y and Z satisfying 



4 (XP - l)l(x - 1) = Y 2 i^Z 2 , 



p prime of form 4fc=tl. Rogers, L. J. L. 



Mth. S. P. 30 (1899) 23-. 

 Gauss's sums. Seguier, de. C. B. 123 



(1896) 166-. 



. Lerch, M. Casopis 28 (1899) 1- ; Fschr. 



Mth. (1898) 168. 



, analogues. Lerch, M. Prag Sb. (1897) 

 (Mth.-Nt.) No. 43, 16 pp. 



n-l 22irt 



. Series S e~iT . Mertens, F. Berl. 



Ak. Sb. (1896) 217-. 

 with several variables. Jordan, C. C. 



B. 73 (1871) 1316-. 

 Geometrical representation of results. Bara- 



niecki, M. A. Par. T. Nauk So. Pam. 8 



(*1876) Art. 9, 8 pp. 

 Indefinite forms. Mark-off, A. Mth. A. 15 



(1879) 381- ; 17 (1880) 379-. 

 Large primes, criteria ; application of binary 



quadratic forms. Seelhoff, P. Am. J. Mth. 



7 (1885) 264-; 8 (1886) 26-. 

 Linear forms of the divisors of x z A. Pepin, 



. C. B. 123 (1896) 683-, 737-. 

 Malmsten's functions and invariants of quad- 

 ratic forms. Lerch, M. Prag Ceske Ak. Fr. 



Jos. Bz. (Tfida 2) 2 (1893) Art. 4, 12pp.; 



Fschr. Mth. (1893-94) 790-. 

 Number with prime factors 4n + l, as sum of 



two squares. Jonquieres, E. de* N. A. Mth. 



17 (1878) 241-, 289-. 

 Numbers whose squares are sums of two 



squares. Egidi, G. Bm. N. Line. At. 50 



(1897) 103-, 126-. 



Numerical forms. Thiele, T. N. (xn) Sk. 



Nt. Mrfd. F. (1873) 192-. 

 Odd forms. Liouville, J. Liouv. J. Mth. 11 



(1866) 221-. 



Pellian equation. Frischauf, J. Wien Sb. 55 



(1867) (Ab. 2) 121-. 



. Roberts, S. L. Mth. S. P. 15 ( 1883- 



84) 247-. 



208 



