2810 Divisibility; linear congruences 



Continued fractions 2815 



Primitive series of k integers, determination. 



Mertens, F. Wien. Ak. Sb. 106 (1897) 



(Ab. 2a) 132-. 

 Quotients and residues. Ciccolini, L. Tor- 



tolini A. 3 (1852) 232-. 

 Eemainders in division. Gorini,P. (viAdds.) 



Majocchi A. Fis. C. 1 (1841) 235-. 

 . Ingleby, C. M. B. A. Ep. 35 (1865) 



(Sect.) 1. 

 . Walenn, W. H. Ph. Mg. 2 (1876) 



345- ; 4 (1877) 378-. 

 , problem. Kaiser, H. Grunert Arch. 25 



(1855) 76-. 



, theorem. Walenn, W. H. B. A. Ep. 40 



(1870) (Sect.) 16-. 

 Eepetends, properties. Saint, W. Nicholson 



J. 24 (1809) 124-. 



, . Heal, W. E. A. Mth. 3 (1887) 97-. 

 Eesidues, numerical, properties. Beanjeux, 



E., & Laimnt, A. N. A. Mth. 9 (1870) 221-, 



271-, 302-, 354-. 



and sums, properties. Bugaev, N. V. 

 [1878] (xn) Eec. Mth. (Moscou) 10 (1882-83) 

 (Pt. i) 30-. 



Series of numbers prime to composite number. 



Binet, J. P. M. C. E. 32 (1851) 918-. 

 Smallest integer having given number of 



divisors. Minln, A. P. [1882] (xn) Eec. 



Mth. (Moscou) 11 (1883-84) 632-. 

 Square number has odd number of divisors. 



Pujo, T. L. Les Mondes 27 (1872) 653-. 

 Successive division, remainders. Marcliand, D. 



Les Mondes 54 (1881) 437-. 

 Sum of cubes of divisors of number. Glaisher, 



J. W. L. Mess. Mth. 21 (1892) 47-. 

 Sums of divisors. Bouniakowsky, V. [1848] 



St Pet. Ac. Sc. Mm. 6 (1850) 259-. 



. Liouville, J. Liouv. J. Mth. 1 



(1856) 349-; 2 (1857) 56. 



(Liouville). Bouniakowsky, V. St 



Pet. Ac. Sc. Bll. 15 (1857) 267-. 



. Liouville, J. Liouv. J. Mth. 7 



(1862) 375-. 

 . Sardi, C. G. Mt. 7 (1869) 112-. 



. Catalan, E. C. As. Fr. C. E. 6 



(1877) 127-. 



. Lipschitz, . C. E. 100 (1885) 845-. 



. Stern, M. A. Acta Mth. 6 (1885) 



327-. 

 . Glaisher, J. W. L. Camb. Ph. S. 



P. 5 (1886) 108-. 



. Hacks, J. Acta Mth. 9 (1887) 177-. 



of a, b, where a + b = n, theorem. Besge, 



V. A. Liouv. J. Mth. 7 (1862) 256. 

 number and its partitions. Bunia- 



kovskij, V. Ja. [1870] St Pet. Ac. Sc. Mm. 



(Rs.) 18 (* 1871) 20-. 

 , recurring formulae. Halphen, G. H. 



Par. S. Mth. Bll. 5 (1877) 158- ; 6 (1878) 



119-, 173-. 

 , involving. Glaisher, J. W. L. 



Ph. Mg. 33 (1892) 54-. 

 even and odd divisors, difference between. 



Glaisher, J. W. L. [1877] Mess. Mth. 7 



(1878) 66-. 



odd divisors. Glaisher, J. W. L. QJ. 

 Mth. 19 (1883) 216-. 



Sums of powers of divisors. Liouville, J. 



Liouv. J. Mth. 3 (1858) 63-. 

 , recurring relations involving. 



Glaisher, J. W. L. Mess. Mth. 20 (1891) 



129-, 177- ; 21 (1892) 49-. 

 , relations between. Rogel, F. 



Prag Sb. (1897) (Mth.-Nt.) No. 7, 9 pp. 

 numbers prime to given number. 



Liouville, J. C. E. 44 (1857) 753-. 

 products of quantities depending on 



divisors of number. Glaisher, J. W. L. 



Mess. Mth. 15 (1886) 1-. 



2815 Continued fractions and 

 indeterminate equations. 



CONTINUED FEACTIONS. 



Euler, L. [1779] St P^t. Ac. Sc. Mm. 4 (1813) 



52-. 

 Viscovatoff, B. St Pet. Ac. Sc. Mm. 1 (1803-06) 



226-. 



Bret, . Gergonne A. Mth. 9 (1818-19) 37-. 

 Gergonne, J. D. Gergonne A. Mth. 9 (1818-19) 



261-. 



Wafelaer, P. F. Liege A. Ac. (1820-21) 27 pp. 

 Stern, M. A. [1829-31] Crelle J. 8 (1832) 192- ; 



Quetelet Cor. Mth. 7 (1832) 36-. 

 Mobius, A. F. Crelle J. 6 (1830) 215-. 

 Ampere, A. M. Quetelet Cor. Mth. 9 (1837) 



144-. 



Stern, M. A. Crelle J. 18 (1838) 69-. 

 Gerono, G. C. N. A. Mth. 1 (1842) 1-. 

 Catalan, E. C. N. A. Mth. 4 (1845) 257-, 405-. 

 Frost, P. Camb. Mth. J. 4 (1845) 237-. 

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



Acta 2 (1847) 861-. 

 Cerquero, J. S. Cadiz Period. M. Ci. 1 



(1848) 1-. 



Terquem, O. N. A. Mth. 8 (1849) 48-. 

 Catalan, E. C. N. A. Mth. 8 (1849) 154-, 294-. 

 Vincent, A. J. H. N. A. Mth. 8 (1849) 292-. 

 Eisenstem, G. N. A. Mth. 8 (1849) 341-. 

 Bourgoin, L. Liouv. J. Mth. 15 (1850) 71-. 

 Schldmilch, 0. Grunert Arch.. 18 (1852) 416-. 

 Gyory, S. (xn) Mag. Ak. Ets. (1854) 220-. 

 Tchebicheff, P. [1855] Liouv. J. Mth. 3 (1858) 



289-. 



Heine, H. E. Crelle J. 53 (1857) 284-. 

 Kimig, J. F. Grunert Arch. 33 (1859) 369-. 

 Heine, E. Berl. Mb. (1866) 436-. 

 Laurent, H. N. A. Mth. 5 (1866) 540-. 

 Thiele, T. N. (xn) Ts. Mth. 5 (1869) 144- ; 



6 (1870) 145-. 



Eugenia, V. G. Mt. 9 (1871) 358-. 

 Gunther, S. Arch. Mth. Ps. 55 (1873) 392-. 

 Christoffel, E. B. [1874] A. Mt. 6 (1875) 148-. 

 Smith, H. J. S. [1875] Mess. Mth. 6 (1877) 1-. 

 Glaisher, J. W. L. [1877] Mess. Mth. 7 (1878) 



67-. 

 Gegenbauer, L. [1879] Wien Ak. Sb. 80 (1880) 



(Ab. 2) 763-. 

 Hoffmann, K. E. [1882] Arch. Mth. Ps. 69 



(1883) 205-. 



Bruno, G. Tor. Ac. Sc. At. 21 (1885) 273-. 

 Hermite, . Bll. Sc. Mth. 9 (1885) 11-. 

 Cesdro, E. N. A. Mth. 6 (1887) 29-. 



197 



