Periods and the asymptotics of a diophantine problem. I

DOI10.1007/BF02384865zbMath0757.11031MaRDI QIDQ1197462

Ben Lichtin

Publication date: 16 January 1993

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

regularizationasymptotic behaviourlattice pointsDirichlet seriestoroidal compactificationweighted diophantine problem

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Lattice points in specified regions (11P21) Asymptotic representations in the complex plane (30E15)

Cites Work

• Lectures on forms of higher degree. Notes by S. Raghavan
• Prolongement méromorphe des séries de Dirichlet associées à des fractions rationnelles de plusieurs variables
• Milnor numbers and the topology of polynomial hypersurfaces
• Stratifications de Whitney et théorème de Bertini-Sard
• Newton polyhedra and estimation of oscillating integrals
• The asymptotics of a lattice point problem associated to a finite number of polynomials. I
• The analytic continuation of generalized functions with respect to a parameter
• Equations différentielles à points singuliers réguliers
• Poles of \(| f(z,w)| ^{2s}\) and roots of the b-function
• Homogeneous functions and their extensions
• Croissance de certaines séries de Dirichlet et applications.
• NEWTON POLYHEDRA AND AN ALGORITHM FOR COMPUTING HODGE–DELIGNE NUMBERS
• ASYMPTOTIC HODGE STRUCTURE IN THE VANISHING COHOMOLOGY
• Valeurs Aux Entiers Negatifs des Series de Dirichlet Associees a un Polynome III
• Valeurs Aux Entiers Negatifs des Series de Dirichlet Associees a un Polynome II
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