2810 Divisibility; linear congruences 



Divisibility 2810 



Transformation, numerical. Davies, T. S. 



(n Adds.) Ph. Mg. 34 (1849) 347-. 

 Treatise on numbers. Crelle, A. L. Crelle J. 



27 (1844) 6-, 107-, 330- ; 28 (1844) 111-; 



29 (1845) 58-, 103-. 

 Triads of once-paired elements. Homer, J. 



[1867] QJ. Mth. 9 (1868) 15-. 

 Wronski's theory of numbers. Dickstein, S. 



Krk. Ak. (Mt.-Prz.) Ez. 4 (1893) 73-, 396; 



Crc. Ac. Sc. Bll. (1892) 64-. 



2810 Divisibility; linear con- 

 gruences. 



Arithmetical "lines" (series), arrangement. 



Tarry, G. N. A. Mth. 18 (1899) 149-, 292. 

 Bugaev's "order", i.e. sum of exponents of 



prime factors of a number. Cistuikov, I. I. 



Bee. Mth. (Moscou) 20 (1899) 595-; Fschr. 



Mth. (1899) 194. 

 Chinese problem of remainders. Matthiessen, 



H.F.L. [1880-81] Crelle J. Mth. 91 (1881) 



254-; Z. Mth. Ps. 26 (1881) (H.-lt. Ab.) 33-. 

 , solution. liocquigny, F. [G.] de. 



Les Mondes 54 (1881) 304-. 

 , . Domingues, A. Les Mondes 



55 (1881) 62-. 

 Congruence 487 2 = 486. Shanks, W. E. S. P. 



25 (1877) 551-. 



theorem relating to sums of binomial co- 

 efficients. GMsher, J. W. L. QJ. Mth. 30 

 (1899) 361-. 



Congruences. Lebesgue, V. A. N. A. Mth. 



9 (1850) 436-; C. E. 51 (1860) 9-. 

 . Hathaway, A. S. Am. J. Mth. 6 (1884) 



316-. 



relating to sums of products of first n 

 numbers, etc. Glaisher, J. W. L. QJ. Mth. 

 31 (1900) 1-. 



Congruent numbers. Woepcke, F. Torto- 



lini A. 3 (1860) 206-. 



. Gitnther, S. Prag Sb. (1878) 289-. 



, multiplication. Woepcke, F. (vm) A. 



Mt. 4 (1861) 247-. 

 Decomposition of fraction into quantiemes 



(fractions with unity for numerator). Boby- 



nin, V. V. Z. Mth. Ps. 44 (1899) (Suppl.) 1-. 

 Difference of two powers divisible by power of 



prime. Bouniakowsky , V. [1829] St. Pet. 



Ac. Sc. Mm. 1 (1831) 139-. 

 product, divisibility. Segar, H. W. Mess. 



Mth. 23 (1894) 31-. 



DIVISIBILITY. 



Gergonne, J. D. Gergonne A. Mth. 5 (1814-15) 



170-. 



Joubin, . L'l. 2 (1834) 230. 

 Transon, A. (Prof.) N. A. Mth. 4 (1845) 173-. 

 Elliott, E. B. Camb. (M.) Mth. M. 1 (1859) 45-. 

 Zbikowski, A. [1860] St. Pet. Ac. Sc. Bll. 



3 (1861) 151-. 



Niederrist, . Grunert Arch. 38 (1862) 384-. 

 Folie, F. Lie"ge Mm. S. Sc. 3 (1873) 85-. 

 B-utjaev, N. V. (xn) Eec. Mth. (Moscou) 8 



(1876) (Pt. 1) 501-. 



Ponte Horta, F. da. G. Teix. J. Sc. 1 (1878) 



57. 



Broda, K. Arch. Mth. Ps. 63 (1879) 413-. 

 Kessler, 0. Z. Mth. Ps. 28 (1883) 60-. 

 Ihirfee, W. P. J. H. Un. Cir. [4] (1885) 23. 

 Catalan, E. Ev. Sc. 38 (1886) 508. 

 Bougon, . Ev. Sc. 38 (1886) 508. 

 Dickstein, S. Fschr. Mth. (1886) 136. 

 Perrin, R. As. Fr. C. E. (1889) (Pt. 2) 24-. 

 Geliii, E. Mathesis 12 (1892) 65-, 93-. 

 Levanen, S. Helsingf. Ofv. 34 (1892) 109- ; 



Fschr. Mth. (1892) 164-. 

 Fontes, . As. Fr. C. E. (1893) (Pt. 2) 240-. 

 Belohldvek, F. Casopis (23) (1894) 59- ; Fschr. 



Mth. (1893-94) 273. 



Bourgerel, G. L. Ev. Sc. 1 (1894) 411-. 

 by any number, criterion. Fontes, . C. E. 



115 (1892) 1259-. 

 prime. Matter, C. F. C., d- Holten, C. 



(xn) Ts. Mth. 5 (1875) 177-. 

 . Hommel, L. L. (xn) Ts. Mth. 6 



(1876) 15-. 

 , character. Loir, . C. E. 106 



(1888) 1070-, 1194. 



, criterion. Christie, R. W. D. 

 Nt. 40 (1889) 247. 



of certain expressions by p, proof. Cauchy, 

 A. L. Par. EC. Pol. J. 9 (1813) (16 e cah.) 99-. 



numbers. Simerka, V. Casopis 8 

 (*1879) 187- ; Fschr. Mth. (*1879) 125-. 



. Mackay, J. S. Edinb. Mth. S. P. 



4 (1886) 55-. 



numerical expression. Weyr, E. Casopis 



11 (*1882) 39-; Fschr. Mth. (*1882) 120. 

 quotient by powers of factorial. Andre, 



D. C. E. 94 (1882) 426-. 

 criteria. Unferdinger, F. Wien Sb. 59 (1869) 



(Ab. 2) 465-. 



. Delbceuf, J. Ev. Sc. 38 (1886) 377-. 

 . Noel, . Ev. Sc. 38 (1886) 378-. 

 . Greenstreet, W. J. Mth. Gz. 1 (1900) 



186-. 

 , history. Fontes, . Toul. Ac. Sc. Mm. 



5 (1893) 459-. 



criterion. Dupain, J. C. N. A. Mth. 6 



(1867) 368-. 



. Burgess, H. T. [1897] Nt. 57 (1897-98) 8-. 

 , and Eratosthenes' sieve. Valeria, P. Ev. 



Sc. 52 (1893) 764. 



for prime numbers and all odd numbers 

 (except multiples of 5). Riess, L. T. Fschr. 

 Mth. (1898) 137. 



of faculties, geometric analogy. Pincherle, 



S. Bologna Ed. (1892-93) 17-. 

 Fergola's theorem. Torelli, G. G. Mt. 5 



(1867) 250-. 

 of fraction with denominator k ! Time, A. 



Arch. Mth. Ntvd. 14 (1890) 247-. 

 general characters. Lubin, J. N. A. Mth. 13 



(1874) 528-. 

 of integers. Lapparent, de. Cherb. Mm. 



S. Sc. 4 (1856) 235-. 

 . Jonquieres, de. C. E. 120 (1895) 



534-. 

 law. Burgess, H. T. [1897] Nt. 57 (1897-98) 



30, 55. 

 . Bdrgen, C. [1897] Nt. 57 (1897-98) 54-. 



VOL. I. 



193 



