The Shintani cocycle -: II.: Partial ζ-functions, cohomologous cocycles and p-adic interpolation

The "Shintani Cocyle" Phi(r) is further investigated under three headings. Firstly, a precise link with partial zeta-values is given and non-triviality results are deduced for cocycles specializing Phi(r). Secondly, a cohomologous "deformation" Psi(infinity) of Phi(infinity) (related to cocycles of Scezch and Stevens) is studied by means of explicit formulae. Thirdly, another deformation Y-infinity((v)) is considered item a p-adic viewpoint and shown to be interpolable. Applications are given to the construction of p-adic partial zeta-functions. (C) 1999 Academic Press.