Multiplicative sequence: Difference between revisions

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:<math> \prod_{i=1}^m Q(\beta_i z) \ </math>
 
for any &nbsp;''m'' &nbsp;> &nbsp;''j''. This is symmetric in the ''β''<sub>''i''</sub> and homogeneous of weight ''j'': so can be expressed as a polynomial ''K''<sub>''j''</sub>(''p''<sub>1</sub>,&nbsp;...,&nbsp;''p''<sub>''j''</sub>) in the [[elementary symmetric function]]s ''p'' of the&nbsp;''β''. Then ''K''<sub>''j''</sub> defines a multiplicative sequence.
 
==Examples==