2815 Continued fractions 



periodic. Bianchi, G. [1844] Mod. Mm. S. 



It. 23 (1846) 219-. 



. Rodrigues, O. N. A. Mth. 4 (1845) 109-. 

 . Catalan, E. C. N. A. Mth. 4 (1845) 



. Galois, E. Liouv. J. Mth. 11 (1846) 



385-. 



. Siebeck, H. Crelle J. 33 (1846) 68-. 

 . Le Francois, (Prof.) . Brux. Ac. Bll. 



16 (1849) 338-. 

 . Stern, M. A. [1854] Crelle J. 53 (1857) 



. ' Simon, 0. E. Grunert Arch. 33 (1859) 



448-. 



. Gunther, S. Z. Mth. Ps. 22 (1877) 31-. 

 . Le Paige, C. M. M. H. H. Brux. Ac. 



Bll. 43 (1877) 337-. 

 . Appell, P. Arch. Mth. Ps. 62 (1878) 



183-. 

 . Jonquieres, E. de. C. E. 96 (1883) 568-, 



1297- 

 . Muir, T. Edinb. E. S. P. 12 (1884) 389-, 



578-. 

 . Selivanov, D. T. Eec. Mth. (Moscou) 15 



(1891) 635-; Fschr. Mth. (1891) 221-. 

 . Landsberg, G. Crelle J. Mth. 109 (1892) 



231-. 



(Landsberg). Netto, E. Crelle J. Mth. 

 110 (1892) 349-. 



, algebraic. Bortolotti, E. Palermo Cir. Mt. 



Ed. 9 (1895) 136-. 

 , , generalisation. Bortolotti, E. Palermo 



Cir. Mt. Ed. 6 (1892) 1-. 

 , arithmetical theorem. Sylvester, J. J. 



Mess. Mth. 19 (1890) 63-. 

 , calculation. Anon, (vi 552) Gergonne A. 



Mth. 14 (1823-24) 337-. 

 , closed form. Hoffmann, K. E. Arch. Mth. 



Ps. 62 (1878) 310-. 

 , composition of periods. Jonquieres, E. de. 



C. E. 96 (1883) 694-, 832-. 

 , convergence. Thiele, T. N. (xn) Ts. Mth. 



3 (1879) 70-. 

 , . Stolz, . Innsb. Nt. Md. B. 15 



(1886) xxi-; 17 (1887) xviii-. 

 , . Pringsheim, A. [1900] Miinch. Ak. 



Sb. 30 (1901) 463-. 

 , convergents. Oettinger, L. Arch. Mth. 



Ps. 43 (1865) 301-. 

 , (Oettinger). Strehlke, F. Arch. Mth. 



Ps. 48 (1868) 1-. 

 , . Ocagne, M. d\ C. E. 108 (1889) 



499-. 

 , equivalent to square-roots of integers. Ely, 



G. S. A. Mth. 1 (1884-85) 72. 

 , given number of quotients. Seeling, P. 



Arch. Mth. Ps. 49 (1869) 4-. 

 , identities between convergents. Jonquieres, 



E. de. C. E. 96 (1883) 1351-, 1420-, 



1490-, 1571-, 1721-. 



and indeterminate analysis. Tedenat, . 

 Gard Not. Tr. Ac. (1811) 254-. 



, nih convergent. Strehlke, F. Arch. Mth. 



Ps. 42 (1864) 343-. 

 , with one term. Clausen, T. Crelle J. 3 



(1828) 87- ; N. A. Mth. 5 (1846) 203-. 

 , symmetric period. Musso, G. G. Mt. 



33 (1895) 1-, 



Continued fractions 2815 



for TT. Sylvester, J. J. Ph. Mg. 37 (1869) 373-. 



. Jung, V. Casopis 9 (*1880) 157- ; 



Fschr. Mth. (*1880) 149-. 



, Sylvester's and other forms. Muir, T. 



Ph. Mg. 47 (1874) 331-. 



primes of form 4\ + l, as sum of 2 squares. 

 Smith, H. J. S. Crelle J. 50 (1855) 91-. 



probability of large quotients. Gylden, H. 

 Stockh. Ofv. (1888) 349-. 



problem. Clausen, T. St Pet. Ac. Sc. Bll. 9 

 (1851) 353-. 



for quadratic surds. Anon, (n 551) Ger- 

 gonne A. Mth. 14 (1823-24) 324-. 



. Schulten, N. G. af (fil.) [1846-47] 



52) 



435-. ' ;- 



Helsingf. Acta 2 (1847) 1023- ; 3 (1855 



. Schaar, M. Brux. Ac. Bll. 19 



(1852) 16-. 

 . Hoffmann, K. E. Arch. Mth. Ps. 



64 (1879) 1-. 

 . Hansted, B. G. Teix. J. Sc. 2 (1880) 



154-. 

 . Sylvester, J. J. C. E. 108 (1889) 



1037-, 1084-. 

 . Dolbnia, J. N. A. Mth. 10 (1891) 



134-. 



. Boutin, A. Mathesis 17 (1897) 8-. 



. Crelier, . C. E. 128 (1899) 



229-. 



. , convergence. Falk, M. Ts. Mt. 



Fys. 4 (1871) 249-. 



, periodicity. Schulten, N. G. af (fil.) 



[1846] Helsingf. Acta 2 (1847) 1063-. 

 , . Charves, . Bll. Sc. Mth. As. 



1 (1877) 41-. 

 quotients in arithmetical progression. Hur- 



u-itz, A. Ziir. Vjschr. 41 (1896) (Festschr., 



Th. 2) 34-. 

 for rational fractional power. Matthiessen, L. 



Z. Mth. Ps. 10 (1865) 315- . 

 reduction to series. De Morgan, A. Ph. Mg. 



24 (1844) 15-. 

 . Heilermann, . Crelle J. 46 (1853) 



88-. 

 regular. Gegenbauer, L. Wien Ak. D. 58 



(1891) 177- ; Mh. Mth. Ps. 6 (1895) 209-. 

 relation to astronomical cycles. Brunei, . 



Bordeaux S. Sc. Mm. 5 (1890) xxv-. 

 . Tannery, P. Bordeaux S. Sc. 



Mm. 5 (1890) xxix-. 

 representation as definite integrals. Spitzer, 



S. Grunert Arch. 30 (1858) 81-. 



of numbers. Schulten, N. G. af (fil.) [1845] 

 Helsingf. Acta 2 (1847) 1009-. 



for roots. Collins, E. (vn) St. P6t. Ac. Sc. 



Bll. 7 (1840) 357-. 

 of equations. Montessus, E. de. Brux. 



S. Sc. A. 21 (1897) (Pt. 2) 71-. 

 numbers. C. Camb. Mth. J. 3 (1843) 



120-. 

 roots and their convergence. Doppler, C. 



Wien Jb. Pol. I. 17 (1832) 175-. 

 for series. Kausler, C. F. [1802] St Pe"t. Ac. 



Sc. Mm. 1 (1809) 156-. 

 . Viscovatoff, B. [1802] St Pet. Ac. Sc. 



N. Acta 15 (1806) 181-. 

 . Schubert, F. T. [1815] St Pet. Ac. 



Sc. Mm. 7 (1820) 139-. 



200 



