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The Spectrum Of Riemannium

Mobilis in mobili: Physmatics Chronicles!

The Spectrum Of Riemannium
Home→Tags quadratic form

Tag Archives: quadratic form

LOG#164. Theta functions.

Posted on 2015/04/04 by amarashikiMay 5, 2015
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Hi, there! We are going to explore more mathematical objects in this post. Today, the objects to study are theta functions. A prototype is the Jacobi theta function: (1)   where and . It satisfies the functional equation (2)   … Continue reading →

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Posted in Mathematics, Number theory, Physmatics, q-objects | Tagged 1D heat equation, auxiliary Jacobi theta functions, Dirac comb, Dirichlet conditions, functional equation, generalized theta function, heat equation, Jacobi identities, Jacobi theta function, metaplectic group, mock modular forms, mock theta function, modular form, modular form of weight n/2, modular group, nome, quadratic form, Ramanujan theta function, Riemann zeta function, spatially periodic boundary conditions, symplectic group, theta function, theta functions | Leave a reply
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