Titlebook: Algebraic Number Theory; Serge Lang Textbook 1994Latest edition Springer Science+Business Media New York 1994 algebraic number theory.anal

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Graduate Texts in Mathematicshttp://image.papertrans.cn/a/image/152688.jpg

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Density of Primes and Tauberian Theoremlized arithmetic progressions determined by Hecke characters. In addition to giving a density for primes in given ideal classes, it also gives densities for primes distributed suitably in Euclidean .-space.

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Brucella: Potential Biothreat Agent,This chapter describes the basic aspects of the ring of algebraic integers in a number field (always assumed to be of finite degree over the rational numbers .). This includes the general prime ideal structure.

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The Economics of Disarmament and ConversionThis chapter introduces the completions of number fields under the p-adic topologies, and also the completions obtained by embedding the number field into the real or complex numbers.

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Policy Drivers and Issues in EuropeThe study of the different and discriminant provides some information on ramified primes, and also gives a sort of duality which plays a role both in the algebraic study of ramification and the later chapters on analytic duality. It also gives a good method for computing the ring of algebraic integers in a number field, as in Proposition 10.

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Coman Adrian Viorel,Teodorescu C?t?linaWe recall the formula for summation by parts. If {..} and {..} are sequences of complex numbers, and if we let . be the partial sums, then . We shall consider series . where {..} is a sequence of complex numbers, and . is a complex variable. We write . = . + . with ., . real.

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