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Fast Library for Number Theory

pMatlab v2.0 Function Reference Table of Contents
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... From this it follows that either all n-dimensional linear subspaces from γn (X) are contained in an (n + 1)-dimensional linear subspace Pn+1 ⊂ PN or they all pass through an (n − 1)-dimensional subspace Pn−1 ⊂ PN . But in the first case X is a hypersurface and by Theorem 1.7 dim Yα = n − 1 ≤ b + 1, ...
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... (n, n) the relevant L-factor is obtained in terms of vectors which are finite under the appropriate maximal compact subgroups. The result is especially simple in the unramified situation, a result proved by Stade ([22], [23]) with a different proof. A first version of these notes was published earli ...
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... I. Commutative algebra is a necessary and/or useful prerequisite for the study of other fields of mathematics in which we are interested. II. We find commutative algebra to be intrinsically interesting and we want to learn more. Perhaps we even wish to discover new results in this area. Most beginning ...
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... 9.2.2 Special features of localization in domains. . . . . . . . 295 9.2.3 Localization at a prime ideal. . . . . . . . . . . . . . . 296 9.3 Unique Factorization. . . . . . . . . . . . . . . . . . . . . . . . 297 9.3.1 A Special Case. . . . . . . . . . . . . . . . . . . . . . . 301 9.4 Euclidean Do ...
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