Determinants related to Dirichlet characters modulo 2, 4 and 8 of binomial coefficients and the algebra of recurrence matrices

Roland Bacher (1)

1 IF - Institut Fourier

Using recurrence matrices, defined and described with some details, we study a few determinants related to evaluations of binomial coefficients on Dirichlet characters modulo 2, 4 and 8.

Mots clés: binomial coefficient; q-binomial coefficient; Dirichlet character; determinant recurrence matrix

Domaines: Théorie des nombres [math.NT]; Anneaux et algèbres [math.RA]

Roland Bacher. Determinants related to Dirichlet characters modulo 2, 4 and 8 of binomial coefficients and the algebra of recurrence matrices. 2007. ⟨hal-00166861v2⟩