1620 Partition of Numbers 



addition to theory. Csorba, G. Mth. Termt. 



Ets. 17 (1899) 189-. 

 application of theorem of Eisenstein. Catalan, 



. As. Fr. C. E. (1886) (Pt. 1) 86. 

 certain special. MacMahon, (Capt.) P. A. QJ. 



Mth. 21 (1886) 367-. 

 formulae. Pepin, . Liouv. J. Mth. 4 (1888) 



83-. 

 graphic proof of theorem of Euler's. Sylvester, 



J. J. C. E. 96 (1883) 1110-. 

 whose graphs possess symmetry. MacMahon, 



(Maj.) P. A. [1898] Camb. Ph. S. T. 17 



(1899) 149-. 

 number of ways of breaking up a number with 



one law of subordinate partition. Volpicelli, 



P. Em. At. 10 (1856-57) 43-, 122-. 

 outlines of seven lectures. Sylvester, J. J. 



L. Mth. S. P. 28 (1897) 33-. 

 points of analysis depending on. Trudi, N. 



[1877] Nap. Ac. At. 8 (1879) No. 1, 



88 pp. 

 problem. Chrystal, G. Edinb. Mth. S. P. 2 



(1884) 49-. 

 and other problems, application of Arbogast's 



method of derivations. David, . Liouv. 



J. Mth. 8 (1882) 61-. 

 proof of theorem. Volpicelli, P. C. E. 40 



(1855) 1150-. 

 . Zuchristian, J. Mh. Mth. Ps. 4 



(1893) 185-. 

 question. Boschi, P. Bologna Ac. Sc. Mm. 1 



(1880) 555-. 

 theory. MacMahon, P. A. [1896] Phil. Trans. 



(A) 187 (1897) 619- ; 192 (1899) 351-. 

 two theorems. Volpicelli, P. N. A. Mth. 14 



(1855) 314-. 

 verification formulae. Glaisher, J. W. L. E. 



S. P. 24 (1876) 250-. 



Partition of pentagonal numbers, graphic proof 



of Euler's theorem. Sylvester, J. J. C. E. 



96 (1883) 743-. 

 polygon by diagonals, series for. Binet, 



J. P. M. Liouv. J. Mth. 8 (1843) 394-. 

 , problem. Ocagne, M. d'. Par. S. Mth. 



Bll. 28 (1900) 157-. 



-series, note. Cayley, A. Am. J. Mth. 6 

 (1884) 63-. 



, solution of problem, and types of abacus. 

 MacMahon, (Maj.) P. A. Par. S. Mth. Bll. 

 26 (1898) 57-. 



of sum of money, number of ways. 

 Schubert, H. C. H. Hamb. Mth. Gs. Mt. 1 

 (1889) 269. 



table for binary quantics, specimen. 

 Cayley, A. Am. J. Mth. 4 (1881) 248-. 



tables, non-unitary. Cayley, A. Am. J. 

 Mth. 7 (1885) 57-. 



PAETITIONS. 



Cayley, A. QJ. Mth. 1 (1857) 183-. 

 Franklin, F. Am. J. Mth. 2 (1879) 187- ; (xn) 



J. H. Un. Cir. [2] (1883) 72. 

 Ely, G. S. J. H. Un. Cir. [3] (1884) 76-. 



Partitions 1620 



Barcroft, D. J. H. Un. Cir. [5] (1885-86) 



64. 

 algebraic expression. Herschel, (Sir) J. F. W. 



Phil. Trans. (1850) 399-. 

 theorems connected with theory. Forsyth, 



A. R. [1895] L. Mth. S. P. 27 (1896) 



18-. 

 of complex numbers (theorem contained in 



theorem of Jacobi's). Sylvester, J. J. C. B. 



96 (1883) 1276-. 

 compound, general theory. Sylvester, J. J. 



Ph. Mg. 16 (1858) 371-. 

 , method of graphs applied to. Ely, G. S. 



Am. J. Mth. 6 (1884) 382-. 

 constructive theory. Sylvester, J. J. Am. J. 



Mth. 5 (1882) 251- ; 6 (1884) 334-. 

 , Sylvester's. Jenkins, M. Am. J. Mth. 



7 (1885) 74-. 

 and derivations. Glaisher, J. W. L. B. A. 



Ep. (1874) (Sect.) 11-. 



double. Cayley, A. Ph. Mg. 20 (1860) 337-. 

 formulae of verification. Glaisher, J. W. L. 



B. A. Ep. (1875) (Sect.) 11-. 

 fundamental theorem. Sylvester, J. J. (xn) 



[1882] J. H. Un. Cir. [2] (1883) 22. 

 graphical method. Sylvester, J. J. (xii) J. 



H. Un. Cir. [2] (1883) 70-. 

 isomerism, graphical representation. Brunei, 



G. Bordeaux S. Sc. PV. (1898-99) 108-. 

 , problem (to find number of compounds 



that can be formed by n m-valent atoms and 



(ra - 2) n + 2 univalent atoms) . Franklin, F. 



Am. J. Mth. 1 (1878) 365-. 

 miscellaneous theorems. Glaisher, J. W. L. 



Mess. Mth. 5 (1876) 164-. 

 of non-pentagonal number. Jacobi, C. G. J. 



Crelle J. 32 (1846) 164-. 

 note. Glaisher, J. W. L. Ph. Mg. 49 (1875) 



307-. 

 . Mitchell, 0. H. (xn) J. H. Un. Cir. [1] 



(1882) 210. 

 . Ely, G. S. (xn) J. H. Un. Cir. [1] 



(1882) 211. 

 of a polygon. Cayley, A. L. Mth. S. P. 22 



(1891) 237-. 

 problem. Cayley, A. Mess. Mth. 7 (1878) 



187-. 

 . Brunei, <?. Bordeaux S. Sc. PV. (1894- 



95) 24-. 

 , note. Tail, P. G. Edinb. E. S. T. 32 



(1887) 340-. 

 and theory of forms. Capelli, A. [1880] 



G. Mt. 19 (1881) 87-. 

 product 1 - x . 1 - x 2 . 1 - x 3 , Franklin's theory. 



Cayley, A. (xn) J. H. Un. Cir. [2] (1883) 



86. 

 proof of Sylvester's theorem. Roberts, S. QJ. 



Mth. 4 (1861) 155-. 

 theorem. Jenkins, M. Am. J. Mth. 



6 (1884) 331-. 

 question. Sylvester, J. J. (xn) J. H. Un. 



Cir. [1] (1882) 179. 

 of R and of the .R-gon. Kirkman, T. P. 



Manch. Lt. Ph. S. Mm. & P. 7 (1893) 211- ; 



8 (1894) 109-. 

 r-, of r 2 -r + l. Kirkman, T. P. Lane. T. 



Hist. S. 9 (1857) 127-. 



86 



