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Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
Moment inequalities trigonometric polynomials spectrum curved hypersurfaces
2011/8/26
Abstract: Using the multilinear theory of oscillatory integral operators, we establish a square function inequality with implications to moment inequalities for discrete exponential sums which frequen...
Local Zeta Functions and Oscillatory Integrals for Non-degenerate Laurent Polynomials Over p-adic Fields
exponential sums mod p p-adic oscillatory integrals Laurent polynomials
2010/12/8
In this article, we study exponential sums mod p m, or more generally,p-adic oscillatory integrals attached to Laurent polynomials which are non-degenerate with respect to its Newton polytope at infin...
Intersection Theory for Generic Differential Polynomials and Differential Chow Form
Generic Differential Polynomials Differential Chow Form
2010/11/26
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential ...