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A zero-free region for the Hecke L-functions

Published online by Cambridge University Press:  26 February 2010

M. D. Coleman
Affiliation:
Department of Mathematics, University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester, M60 1QD
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Extract

Let K be an algebraic number field of degree n and discriminant d. Let K(1),…, K(n) be the embeddings of the field. Then n = r1 + 2r2 where K(1), …, K(rl) are real and the remainder complex, satisfying . The conjugates of the number μ in K(i) are denoted by μ(i.

Type
Research Article
Copyright
Copyright © University College London 1990

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