2800 



Theory of Numbers. General 



2800 



Boots of certain equations. Lemeray, E. M. 



N. A. Mth. 16 (1897) 540-. 

 x = a x f Lemeray, E. M. N. A. Mth. 15 



(1896) 548-; 16 (1897) 54-. 

 , theory. Cockle, Jas. Ph. Mg. 20 (1860) 



145-, 368-. 



Solution. Stern, M. A. Crelle J. 22 (1841) 1-. 

 . Spitzer, S. Wien D. 3 (1852) 155. 

 . Terquem, 0. (vi Adds.) N. A. Mth. 



(1855) 295-, 384-; 15 (1856) 17-. 

 . Schjellerup, H. C. F. C. Mth. Ts. 1 (1859) 



33-. 



of a class. Boussinesq, J. C. B. 72 (1871) 

 480-. 



Sturm's method, application. Stern, M. A. 



Crelle J. 33 (1846) 363-. 

 Theorem. Gerono, G. C. N. A. Mth. 17 (1858) 



201-. 

 Theory. Liouville, J. Liouv. J. Mth. 3 (1838) 



337-. 

 Transcendental equation arising from partial 



fractions. Hermite, C. Bll. Sc. Mth. As. 4 



(1873) 61-. 



satisfied by no complex number. 

 Schlomilch, 0. Grunert Arch. 12 (1849) 293-. 



. Clausen, T. Grunert 



Arch. 13 (1849) 334-. 

 . Baltzer, E. Grunert 



Arch. 16 (1851) 243. 



equations. Vecchio, A. G. Mt. 7 (1869) 

 42 ; 10 (1872) 171-. 



and algebraic equations of higher order, 



solution. Noioikmc, P. M. Fschr. Mth. 

 (1899) 101. 



with no roots. Seidel, L. [1869] Crelle 



J. 73 (1871) 297-. 



solution of equations. Harley,E. QJ. Mth. 

 5 (1862) 337-. 



Theory of Numbers. 

 2800 General. 



A<* + B a prime, conditions. Andre, D. N. 



A. Mth. 12 (1873) 521-. 



Addition, generation of integers by. Daublebsky 

 von Sterneck, E. Wien Ak. Sb. 105 (1896) 

 (Ab. 2a) 875-. 



Additive functions. Laporte, M. As. Fr. C. 

 E. (1895) (Pt. 2) 63-. 



theory of numbers. Daublebsky von Sterneck, 

 E. Wien Ak. Sb. 109 (1900) (Ab. 2a) 28-. 



, proposition. Daublebsky von 

 Sterneck, E. Wien Ak. Sb. 106 (1897) 

 (Ab. 2a) 115-. 



Agreeable numbers. Seelhoff, P. Arch. Mth. 

 Ps. 70 (1884) 75-, vn-. 



. Cunningham, (Lt.-Col.) A. B. A. Ep. 



(1893) 699. 



Arithmetical theorem connected with discrimi- 

 nant of binary cubic. Sylvester, J. J. C. 



B. 60 (1865) 1011-, 1121-. 



Bisection, repeated. Bouniakowsky , V. [18661 

 St Pe-t. Ac. Sc. Bll. 11 (1867) 97-. 



British Association Eeports. Smith, H. J. S. 

 B. A. Ep. (1859) 228-; (1860) 120- ; (1861) 

 292-; (1862)503-; (1863)768-; 35(1865)322-. 



Calculus of finite differences, and theory of 



numbers. Busche, E. Mth. A. 53 (1900) 



243-. 

 Cards puzzle and a law of numbers. Steen, A. 



(xn) Ts. Mth. 1 (1865) 49-; 2 (1866) 1- ; 



3 (1867) 1-; 6 (1870) 1-, 181- ; 3 (1873) 156-. 

 . Hertzsprung, S. (xn) 



Ts. Mth. 3 (1867) 97-. 

 14 . Lorenz,L.V. (xn) Ts. 



Mth. 1 (1871) 53-. 

 Cauchy's "Exercices," error in vol. 2. Clausen, 



T. [1859] St Pe"t. Ac. Sc. Bll. 1 (I860) 



145-. 



theorem: S [a! /3! ... X!a<*. bP ... Z*]-'=l 

 generalised. Sylvester, J. J. C. E. 53 (1861) 

 644-, 722-. 



Complements, arithmetical. Nicholson, P. 



Tilloch Ph. Mg. 52 (1818) 210-. 

 _, __, new form. Hill, T. Am. As. P. (1857) 



82. 

 Composite numbers and factor tables. Niege- 



mann, A. Arch. Mth. Ps. 45 (1866) 203-. 

 , observations. Laisant, C. A. Par. S. 



Mth. Bll. 16 (1888) 150-. 



, relation to components. Bianchi, G. 

 Mod. Mm. S. It. 1 (1862) 1-, 207-. 



Cubic numbers, property. Polignac, A. (Prince 



de). N. A. Mth. 8 (1849) 215. 

 Cycles. Hathaway, A. S. J. H. Un. Cir. [3] 



(1884) 123-. 

 Cyclic numbers. Dickson, L. E. QJ. Mth. 27 



(1895) 366-. 

 " Derivatives" of numbers, theory. Daublebsky 



von Sterneck, E. Mh. Mth. Ps. 4 (1893) 



53-. 

 Diatomic series, ' ' median ' ' series _{ S (2 n - 1) } 



in. Polignac, A. (Prince de). N. A. Mth. 



10 (1851) 308-. 

 Difference and mean of 2 integers, theorem. 



Gergonne, J. D. Gergonne A. Mth. 21 



(1830-31) 83-. 



between pih roots of two numbers, superior 

 limit. Trebert, A. N. A. Mth. 3 (1844) 

 76-. 



Divisibility, theorems mainly on. Catalan, E. 



Brux. Ac. Bll. 7 (1884) 448 

 Double equalities, impossibility of some. 



Genocchi, A. C. E. 78 (1874) 433-. 

 , problem of Format's. Coste, L. M. P. 



Gergonne A. Mth. 10 (1819-20) 101-. 



in theory of numbers. Genocchi, A. 

 [1881] Em. S. It. Mm. 4 (1882) No. 3, 

 31 pp. 



Dyadic coordination of primes up to 100,000 to 

 series of odd numbers. Suchanek, E. Wien 

 Ak. Sb. 103 (1894) (Ab. 2a) 443-. 



Elementary theory (Euler, Legendre, Gauss 

 and Cauchy). Terquem, 0. N. A. Mth. 3 

 (1844) 204-, 214-, 337-. 



, some results. Leudesdorf, C. L. Mth. 



S. P. 20 (1889) 199-. 



treatise. Jimenez, E. (xn) Madrid Ac. Ci. 

 Mm. 7 (1877) 687 pp. 



Equation, 6-period. Smith, H. J. S. As. Fr. 

 C. B. (1880) 190- . 



xy=,x* - y 2 insoluble in integers. Vachette, 

 A. N. A. Mth. 5 (1846) 68-. 



188 



