Proc. Amer. Math. Soc., 81, 1981, 143-148.

Dominique Foatal

Further divisibility of the q-tangent numbers

Abstract. The q-tangent number T_(2n+1)(q) )is shown to be divisible by (1+ q)^a(n,1) (1+ q)^a(n,2) ... (1+ q)^a(n,n), where the a(n, i)'s are positive integers having the maximal property that a(n, 1) + a(n, 2) + ¥ ¥ ¥ +a(n, n) = 2n whenever n is a power of 2.

foata@unistra.fr

The following version is available: