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Formulas for central critical values of twisted L-functions attached to paramodular forms
Formulas central critical values of twisted L-functions paramodular forms Number Theory
2012/6/7
In the 1980s B\"ocherer formulated a conjecture relating the central values of the imaginary quadratic twists of the spin L-function attached to a Siegel modular form $F$ to the Fourier coefficients o...
Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions
Mock period functions sesquiharmonic Maass forms non-critical values of L-functions
2011/8/24
Abstract: We introduce a new technique of completion for 1-cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the context of non-c...
Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
multifractal dimensions Perturbation random matrix ensembles
2011/7/6
Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain e...