For integer m,p, we study tangent power sum
βk=1mβtan2p2m+1Οkβ. We prove that, for every m,p, it
is integer, and, for a fixed p, it is a polynomial in m of degree 2p. We
give recurrent, asymptotical and explicit formulas for these polynomials and
indicate their connections with Newman's digit sums in base 2m.Comment: 14 pages. Addition of reference: A.M. and I.M. Yaglom (1953