Abstract. -An extensive calorimetric study of the normal-and superconducting-state properties of Ba(Fe1−xCox)2As2 is presented for 0 < x < 0.2. The normal-state Sommerfeld coefficient increases (decreases) with Co doping for x < 0.06 (x > 0.06), which illustrates the strong competition between magnetism and superconductivity to monopolize the Fermi surface in the underdoped region and the filling of the hole bands for overdoped Ba(Fe1−xCox)2As2. All superconducting samples exhibit a residual electronic density of states of unknown origin in the zero-temperature limit, which is minimal at optimal doping but increases to the normal-state value in the strongly under-and over-doped regions. The remaining specific heat in the superconducting state is well described using a two-band model with isotropic s-wave superconducting gaps.Introduction. -Despite the fact that the theoretical background has been available since the late 50's with the pioneering papers of Suhl et al.[1] and Moskalenko [2], multiband superconductivity (MBSC) emerged as an unanimously accepted phenomenon only after the discovery of the MgB 2 superconductor in 2001 [3]. Rapidly, calorimetric signatures, like the excess specific heat observed at low temperature (with respect to the single-band BCS curve) [4], the initial rapid rise of the mixed-state heat capacity with magnetic field [5], and the anomalous positive curvature of the upper critical field [6] provided the most convincing evidence of its existence and are now textbook hallmarks of the existence of two gaps. Later, significant interband contributions to the Eliashberg function, reminiscent of MBSC, were experimentally detected using tunneling experiments [49]. Since then, the occurrence of MBSC has been discussed for many different compounds including heavy fermions [7], cobaltates [8], chalcogenides [9], A15 compounds [50], and the recently discovered iron-pnictide family. The aforementioned characteristic signatures of MBSC are less pronounced in iron pnictide superconductors since the interband coupling, pro-