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An Algorithm for the Construction of Arctangent Relations

✍ Scribed by Birch, R. H.


Book ID
120100510
Publisher
Oxford University Press
Year
1946
Tongue
English
Weight
52 KB
Volume
s1-21
Category
Article
ISSN
0024-6107

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We present an algorithm for the construction of a normal basis of a Galois extension of degree n in characteristic 0. The algorithm requires O(n 4 ) multiplications in the ground field. It is based on representation theory but does not require the knowledge of representation theoretical data (like c