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Rigorous computation of Maass cusp forms of squarefree level
We derive an algorithm to rigorously compute and verify Maass cusp forms of squarefree level and trivial character. The main tool we use is an...
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Sums of k-th powers and Fourier coefficients of cusp forms
In this paper, we will first establish a power saving result for the shifted convolution sums of k -th powers and the normalized Fourier coefficients...
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Relating Siegel cusp forms to Siegel–Maaß forms
In this paper we generalize a well-known isomorphism between the space of cusp forms of weight k for a Fuchsian subgroup of the first kind
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Global Dynamics of a Piecewise Smooth System with a Fold–Cusp and General Parameters
In this paper, for general parameters we investigate the global dynamics of a piecewise smooth system, which is a two-parametric unfolding of a...
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FIOs with cusp singularities and open umbrellas
We study the composition calculus of Fourier integral operators F , with Morin singularities. This composition calculus falls outside of the classical...
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Error analysis of discontinuous Galerkin methods on layer adapted meshes for two dimensional turning point problem
A class of two-dimensional singularly perturbed convection–diffusion problems with turning points is studied in this work. Since the turning point...
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The Modified Cusp Kähler–Ricci Flow and Soliton
In this paper, we study the limiting flow of conical Kähler–Ricci flow modified by a holomorphic vector field on a compact Kähler manifold M which...
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Structurally Unstable Quadratic Vector Fields of Codimension Two: Families Possessing Either a Cusp Point or Two Finite Saddle-Nodes
The goal of this paper is to contribute to the classification of the phase portraits of planar quadratic differential systems according to their...
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A Hecke-equivariant decomposition of spaces of Drinfeld cusp forms via representation theory, and an investigation of its subfactors
There are various reasons why a naive analog of the Maeda conjecture has to fail for Drinfeld cusp forms. Focussing on double cusp forms and using...
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The Soft Point and Its Applications in Body Falling
From the mesoscopic point of view, a definition of soft point is introduced by considering the attributes of geometric profile and mass distribution....
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Contact Cylindrical Surfaces and a Projection of a Surface Around a Parabolic Point
We investigate differential geometric properties of a parabolic point of a surface in the Euclidean three space. We introduce the contact cylindrical...
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Algebraicity of higher Green functions at a CM point
In this paper, we investigate the algebraic nature of the value of a higher Green function on an orthogonal Shimura variety at a single CM point....
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Lagrangian Manifolds and Efficient Short-Wave Asymptotics in a Neighborhood of a Caustic Cusp
AbstractWe develop an approach to writing efficient short-wave asymptotics based on the representation of the Maslov canonical operator in a...
