A generalization of the global relation method

We generalize the notions of global and nontrivial global relations to the case where the variables of the series in the definitions of these relations are series well approximable by algebraic numbers in any non-Archimedean local field. Bibliography: 7 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 322, 2005, pp. 220–238.