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Showing 1 to 3 of 3 for “"Algebraic integers"”.
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Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field
<p>The ring of integers is a very interesting ring, it has the amazing property that each of its elements may be expressed uniquely, up to order, as a product of prime elements. Unfortunately, not every ring possesses this property for its elements. The work of mathematicians like Kummer and …
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Swan Modules and Elliptic Functions
… the additive Galois module structure of rings of integers of certain Kummer extensions with respect to an elliptic group law. He has obtained elliptic analogues of cyclotomic results. The arithmetic nature of elliptic resolvents, the elliptic analogue of the Gauss sum conductor formula and the …
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Digital Hardware Architectures for Exact and Approximate DCT Computation Using Number Theoretic Techniques
… the use of number theoretic techniques such as algebraic integer (AI) encoding and expansion factor methods for exact and approximate DCT computation. Novel digital hardware architectures that utilize these techniques to obtain, a) improvements in accuracy b) reductions in area and power …