functional equation for the theta function

The lemma used in the derivation of the functional equation for the Riemann Xi function. This functional equation is not as remarkable as the one for the Xi functionMathworldPlanetmath, because it does not actually extend the domain of the function.


The proof relies on the Cauchy integral formulaPlanetmathPlanetmath and the Poisson summation formula.

Title functional equation for the theta function
Canonical name FunctionalEquationForTheThetaFunction
Date of creation 2013-03-22 13:24:03
Last modified on 2013-03-22 13:24:03
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 10
Author rspuzio (6075)
Entry type Theorem
Classification msc 11M06