The 2-adic valuation of the coefficients of a polynomial

G. Boros, V. Moll, J. Shallit

In this paper we compute the 2-adic valuations of some polynomials associated with the definite integral ${\int }_0^{\infty }\frac{dx}{(x^4+2\ast a\ast x^2+1{)}^{(}m+1)}$