  The basis of renormalon calculus is briefly discussed. The method is applied
to study QCD predictions for three sum rules of deep-inelastic scattering,
namely for the Gross-Llewellyn Smith, Bjorken polarized and unpolarized sum
rules. It is shown that the renormalon structures of theses sum rules are
closely related. These properties are giving us the hint that theoretical
expressions of these three sum rules are similar both in the and
non-perturbative sectors. Some phenomenological consequances of the new
relations are discussed.
