Partition function (number theory): Difference between revisions

Revision as of 19:53, 13 May 2005

Revision as of 22:55, 14 May 2005

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\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]]. The proof of RademachersRademacher's formula is interesting in that it involves [[Ford circle]]s, [[Farey sequence]]s, [[modular group|modular symmetry]] and the [[Dedekind eta function]] in a central way.

==Congruences==