SYL] 



536 



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Sylvester, James Joseph. 186. Note on de- 

 terminants and duadic disynthemes. Amer. 

 Journ. Math., 2, 1879, pp. 89-96, 214-222. 



187. On the complete system of the 



" Grundformen " of the binary quantic of the 

 ninth order. Amer. Journ. Math., 2, 1879, pp. 

 98-99. 



188. Tables of the generating functions 



and groundforms for the binary quantics of the 

 first ten orders. (Assisted by F. FRANKLIN.) 

 Amer. Journ. Math., 2, 1879, pp. 223-251. 



189. On certain ternary cubic-form equa- 

 tions. Amer. Journ. Math., 2, 1879, pp. 280- 

 285, 357-393; 3, 1880, pp. 58-88, 179-189. 



190. Tables of the generating functions and 



groundforms for simultaneous binary quantics of 

 the first four orders, taken two and two together. 

 (Assisted by F. FRANKLIN.) Amer. Journ. Math., 

 2, 1879, pp. 293-306, 324-329. 



191. Note sur une propriete des equations 

 dont toutes les racines sont reelles. Crelle, Journ. 

 Math., 87, 1879, pp. 217-219. 



192; On the theorem connected with 

 NEWTON'S rule for the discovery of imaginary 

 roots of equations. [1879.] Messenger of Math., 

 9, 1880, pp. 71-84. 



193. On the exact relation which resultants 



and discriminants bear to the product of differ- 

 ences of roots of equations. Messenger of Math., 

 9, 1880, pp. 164-166. 



- 194. Sur les diviseurs des fonctions cyclo- 

 tomiques. Paris, Acad. Sci. Compt. Rend., 90, 

 1880, pp. 287-289, 345-347. 



195. Sur la loi de reciprocite dans la 

 theorie des nombres. Paris, Acad. Sci. Compt. 

 Rend., 90, 1880, pp. 1053-1057, 1104-1106. 



196. Sur les equations a 3 et a 4 periodes 

 des racines de Punite". Assoc. Fran9- Compt. 

 Rend., 1880, pp. 96-98. 



197. On a point in the theory of vulgar 

 fractions. Amer. Journ. Math., 3, 1880, pp. 

 332-335, 388-389. 



198. Instantaneous proof of a theorem 

 of LAGRANGE on the divisors of the form 

 Ay? + By 2 + Cz 2 , with a postscript on the divisors 

 of the functions which multisect the primitive 

 roots of unity. Amer. Journ. Math., 3, 1880, 

 pp. 390-392. 



199. Sur 1'entrelacement d'une fonction 



par rapport a une aufcre. Crelle, Journ. Math., 

 88, 1880, pp. 1-3. 



T, 2OO. Preuve instantanee d'apres la methode 

 de FOURIER, de la realite des racines de 1'equation 

 seculaire. Crelle, Journ. Math., 88, 1880, pp. 

 4-5. 



2O1. Sur un determinant symetrique qui 



comprend comme cas particulier la premiere 

 partie de 1'equation seculaire. Crelle, Journ. 

 Math., 88, 1880, pp. 6-9. 



Sylvester, James Joseph. 202. Sur les de- 

 terminants composes. Crelle, Journ. Math., 88, 

 1880, pp. 49-67. 



203. Sur les diviseurs des fonctions des 



periodes des racines primitives de 1'unite. Paris, 

 Acad. Sci. Compt. Rend., 92, 1881, pp. 1084-1086. 



204. Sur les covariants irreductibles du 



quantic binaire du huitieme ordre. Paris, Acad. 

 Sci. Compt. Rend., 93, 1881, pp. 192-196, 365- 

 369. 



205. Tables of the generating functions 



and groundforms of the binary duodecimic, with 

 some general remarks, and tables of the irre- 

 ducible syzygies of certain quantics. Amer. 

 Journ. Math., 4, 1881, pp. 41-61. 



2O6. A demonstration of the impossibility 



of the binary octavic possessing any groundform 

 of deg. -order 10 . 4. Amer. Journ. Math., 4, 

 1881, pp. 62-84. 



2O7. On TCHEBYCHEFF'S theory of the 



totality of the prime numbers comprised within 

 given limits. Amer. Journ. Math., 4, 1881, pp. 

 230-247. 



2O8. On the solution of a certain class 

 of difference or differential equations. Amer. 

 Journ. Math., 4, 1881, pp. 260-265. 



2O9. Note on the theory of simultaneous 



linear differential or difference equations with 

 constant coefficients. Amer. Journ. Math., 4, 

 1881, pp. 321-326. 



210. Note on mechanical involution. 



Amer. Journ. Math., 4, 1881, pp. 336-340. 



211. Sur les puissances et les racines de 

 substitutions lineaires. Paris, Acad. Sci. Compt. 

 Rend., 94, 1882, pp. 55-59. 



212. Sur les racines des matrices unitaires. 

 Paris, Acad. Sci. Compt. Rend., 94, 1882, pp. 

 396-399. 



213. On subinvariants, i.e. semi-invariants 



to binary quantics of an unlimited order. Amer. 

 Journ. Math., 5, 1882, pp. 79-136. 



214. Tables of generating functions, re- 

 duced and representative for certain ternary 

 systems of binary forms. Amer. Journ. Math., 

 5, 1882, pp. 241-250. 



215. A constructive theory of partitions, 



arranged in three acts, an interact and an 

 exodion. (With insertions by Dr. F. FRANKLIN.) 

 Amer. Journ. Math., 5, 1882, pp. 251-330; 6, 

 1884, pp. 334-336. 



216. Sur les nombres de fractions ordi- 



naires inegales qu'on peut exprimer en se servant 

 de chiffres qui n'excedent pas un nombre donne. 

 Paris, Acad. Sci. Compt. Rend., 96, 1883, pp. 

 409-413. 



217. Note sur le theoreme de LEGENDRE 

 cite dans une note inseree dans les Oomptes 

 rendus. Paris, Acad. Sci. Compt. Rend., 96, 

 1883, pp. 463-465. 



