Local and global methods in arithmetic (in Russian)

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Let $p$ be a prime. We discuss methods of solution of congruences modulo $p^n$ using $p$-adic numbers; these methods are similar to computations with real numbers (local methods). Examples of relations between local and global methods are given producing a passage from congruences to solutions in integers (global methods). The use of a computer is illistrated for the study of $p$-adic numbers and algebraic curves.
in Russian, 27 pages, 5 figures

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Number Theory, 11G40

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http://salesiana.dossiersoluciones.com/handle/123456789/137735

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1606
 http://arxiv.org/abs/0709.1606

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arXiv