On a question of Igusa III: A generalized Poisson formula for pairs of polynomials

DOI10.1515/CRELLE.2007.079zbMath1129.11015MaRDI QIDQ5424850

Ben Lichtin

Publication date: 6 November 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

Fourier transformuniformisationcomplete exponential sumssingular seriesforms of higher degreePoisson forumula

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Estimates on exponential sums (11L07) Adèle rings and groups (11R56)

Related Items (1)

Archimedean zeta functions and oscillatory integrals

Cites Work

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• On the number of points on a complete intersection over a finite field. (Appendix: Number of points on singular complete intersections by Nicholas M. Katz)
• Multiple rational trigonometric sums and multiple integrals
• Sur la formule de Siegel dans la théorie des groupes classiques
• On a question of Igusa, II: Uniform asymptotic bounds for Fourier transforms in several variables
• Uniformization of Analytic Spaces
• On a question of Heath-Brown: Good estimates on average for higher degree Kloosterman sums

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