Multiplication theorem: Difference between revisions

Revision as of 12:52, 7 December 2010

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==Periodic zeta function==

The '''periodic zeta function'''<ref>{{mathworld|urlname=PeriodicZetaFunction|title=PeriodicApostol, Zeta''Introduction Function}}to analytic number theory'', Springer</ref> is sometimes defined as

:<math>F(s;q) = \sum_{m=1}^\infty \frac {e^{2\pi imq}}{m^s}