Resumen
The number of solutions is calculated in [K[X]/(p(X)]s = L3 ; of the equations Qr(t1, . . . , ts) = α 1(zr)t 2/1 + ... + α ,( zr )t2/s = β(zr), with coefficients in Lr is evaluated. The corresμonding Poincaré series are also evaluated.
Palabras clave
Citas
Albis, V. S. Lecciones sobre la aritmética de polinomios, policopiado. Departamento de Matemáticas y Estadística, Universidad Nacional de Colombia: Bogotá, 1999.
Albis, V. S. & Chaparro, R. On a conjecture of Borevich and Shafarevich, Rev. Acad. Colomb. Cienc. 21 (1997), 313-319. [MR: 98g:11130].
Dickson, L. E. Linear Groups with an Exposition of the Galois Field Theory. Dover Publications: New York, 1958.
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