The Hooley-Huxley contour method for problems in number fields III: Frobenian functions

Coleman, M.D. (2001) The Hooley-Huxley contour method for problems in number fields III: Frobenian functions. Journal de theorie des Nombres de Bordeaux, 13. pp. 65-76. ISSN 1246-7405

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Abstract

In this paper we study finite valued multiplicative functions defined on ideals of a number field and whose values on the prime ideals depend only on the Frobenius class of the primes in some Galois extension. In particular we give asymptotic results when the ideals are restricted to "small regions". Special cases concern Ramanujan's tau function in small intervals and relative norms in "small regions" of elements from a full module of the Galois extension.

Item Type: Article
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory
Depositing User: Dr M D Coleman
Date Deposited: 25 May 2006
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/299

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