A note on q-multiplicative functions

We prove the following statement. Let , and let . Suppose that, for all and , the sequence satisfies the relation where e ( u ) : = e 2 πiu . Then where q is the set of q -multiplicative functions g such that .

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Bibliographic Details
Published in:Lithuanian mathematical journal 2009, Vol.49 (1), p.1-4
Main Authors: Bassily, N. L., Kátai, I.
Format: Article
Language:English
Subjects:
Actuarial Sciences
Mathematics
Mathematics and Statistics
Number Theory
Ordinary Differential Equations
Probability Theory and Stochastic Processes
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Description
Summary:We prove the following statement. Let , and let . Suppose that, for all and , the sequence satisfies the relation where e ( u ) : = e 2 πiu . Then where q is the set of q -multiplicative functions g such that .
ISSN:0363-1672
1573-8825
DOI:10.1007/s10986-009-9036-x