Partition function (number theory): Difference between revisions

Revision as of 02:43, 24 March 2005

Revision as of 02:53, 24 March 2005

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</math>

where

:<math>A_k(n) = \sum_{0\le m < k \; ; \; (m,k)=1}\exp \left(

\pi i s(m,k) - 2\pi inm/k \right)</math>.

Here, the notation <math>(m,n)=1</math> implies that the sum should occur only over the values of ''m'' that are relatively prime to ''n''. The function <math>s(m,k)</math> is a [[Dedekind sum]].

==Refernces==