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Showing 1 to 2 of 2 for “"Functions, Theta"”.
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F-virtual Abelian Varieties and Rallis Inner Product Formula
… groups. With this we can compute the pairing of theta functions and show in this case that it is related to the central value of Langlands L-function. This new case of Rallis inner product formula enables us to relate nonvanishing of L-value to the nonvanishing of theta lifting.
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Analytic representations of quantum systems with Theta functions
… in a cell S in the complex plane using Theta functions, is defined. The analytic functions have exactly d zeros in a cell S. The reproducing kernel plays a central role in this formalism. Wigner and Weyl functions are also studied. Quantum systems with positions in a circle S and momenta …