Displaying similar documents to “A density theorem and extreme values of automorphic L-functions at one”

Nonvanishing of automorphic L-functions at special points

Zhao Xu (2014)

Acta Arithmetica

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At some special points, we establish a nonvanishing result for automorphic L-functions associated to the even Maass cusp forms in short intervals by using the mollification technique.

Extreme binary forms

Andrzej Białynicki-Birula, Andrzej Schinzel (2010)

Acta Arithmetica

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Exotic approximate identities and Maass forms

Fernando Chamizo, Dulcinea Raboso, Serafín Ruiz-Cabello (2013)

Acta Arithmetica

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We obtain some approximate identities whose accuracy depends on the bottom of the discrete spectrum of the Laplace-Beltrami operator in the automorphic setting and on the symmetries of the corresponding Maass wave forms. From the geometric point of view, the underlying Riemann surfaces are classical modular curves and Shimura curves.