A generalization of the method of
Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 220-238 Cet article a éte moissonné depuis la source Math-Net.Ru

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We generalize the notions of global and non-trivial global relations to the case when the the series in the definitions of these relations are evaluated at a point, which is itself a series, well -approximable by algebraics in any non-archimedean local field.
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V. G. Chirskii. A generalization of the method of. Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 220-238. http://geodesic.mathdoc.fr/item/ZNSL_2005_322_a14/

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