A new generating function for calculating the Igusa local zeta function (Q329493)

scientific article; zbMATH DE number 6642263

Language	Label	Description	Also known as
English	A new generating function for calculating the Igusa local zeta function	scientific article; zbMATH DE number 6642263

Statements

instance of

scholarly article

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title

A new generating function for calculating the Igusa local zeta function (English)

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Advances in Mathematics

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publication date

21 October 2016

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full work available at URL

https://arxiv.org/abs/1506.07869

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zbMATH Keywords

Igusa local zeta function

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generating function

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quadratic form

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\(p\)-adic field

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Local zeta functions and Euler characteristics

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Q4890756

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Newton polyhedra and Igusa's local zeta function

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A Functional Equation of Igusa's Local Zeta Function

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On the Holomorphy Conjecture for Igusa's Local Zeta Function

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Analytic properties of zeta functions and subgroup growth

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Q5296544

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Complex powers and asymptotic expansions. I. Functions of certain types.

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Complex powers and asymptotic expansions. II.

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Lectures on forms of higher degree. Notes by S. Raghavan

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Local zeta functions of general quadratic polynomials

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Q4948576

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A canonical quadratic form for the ring of 2-adic integers

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Point count divisibility for algebraic sets over ℤ/𝕡^{ℓ}ℤ and other finite principal rings

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Igusa-type functions associated to finite formed spaces and their functional equations

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Zeta functions of three-dimensional \(p\)-adic Lie algebras

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Q3744289

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Q5313244

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Zeros of Polynomials over Finite Principal Ideal Rings

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On ‘maximal’ poles of zeta functions, roots ofb-functions, and monodromy Jordan blocks

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Monodromy Jordan blocks, \(b\)-functions and poles of zeta functions for germs of plane curves

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On the poles of a local zeta function for curves

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Q3293461

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Dirichlet series in two variables

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The Igusa local zeta function associated with the singular cases of the determinant and the Pfaffian

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Q4606001

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Local zeta function for curves, non-degeneracy conditions and Newton polygons

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On the unramified spectrum of spherical varieties over p-adic fields

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Lower bound for the poles of Igusa's \(p\)-adic zeta functions

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Exponential sums and polynomial congruences along \(p\)-adic submanifolds

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Poles of a Two-Variable P-Adic Complex Power

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On the Poles of Igusa's Local Zeta Function for Curves

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Poles of Igusa's local zeta function and monodromy

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Zeta Functions for Curves and Log Canonical Models

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Vanishing of principal value integrals on surfaces

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Zeta functions for analytic mappings, log-principalization of ideals, and Newton polyhedra

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Functional equations for zeta functions of groups and rings

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Sur la formule de Siegel dans la théorie des groupes classiques

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Igusa's local zeta functions of semiquasihomogeneous polynomials

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Q4434206

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Local zeta functions and Newton polyhedra

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ON THE POLES OF IGUSA'S LOCAL ZETA FUNCTION FOR ALGEBRAIC SETS

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Pseudo-differential equations connected with p-adic forms and local zeta functions

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Local zeta function for nondegenerate homogeneous mappings

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Corrigendum to ``Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields''

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Local Zeta Functions Supported on Analytic Submanifolds and Newton Polyhedra

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Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields

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Identifiers

zbMATH Open document ID

1396.11131

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Mathematics Subject Classification ID

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10.1016/J.AIM.2016.09.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:329493