scholarly journals A new generating function for calculating the Igusa local zeta function

2017 ◽  
Vol 304 ◽  
pp. 355-420 ◽  
Author(s):  
Raemeon A. Cowan ◽  
Daniel J. Katz ◽  
Lauren M. White
Keyword(s):  
Zeta Function ◽  
Generating Function ◽  
Local Zeta Function

scholarly journals MOTIVIC HILBERT ZETA FUNCTIONS OF CURVES ARE RATIONAL

2018 ◽  
Vol 19 (3) ◽  
pp. 947-964
Author(s):  
Dori Bejleri ◽  
Dhruv Ranganathan ◽  
Ravi Vakil
Keyword(s):  
Zeta Function ◽  
Generating Function ◽  
Zeta Functions ◽  
Hilbert Schemes ◽  
Grothendieck Ring

The motivic Hilbert zeta function of a variety $X$ is the generating function for classes in the Grothendieck ring of varieties of Hilbert schemes of points on $X$. In this paper, the motivic Hilbert zeta function of a reduced curve is shown to be rational.

scholarly journals Poles of the Igusa local zeta function of some hybrid polynomials

2014 ◽  
Vol 25 ◽  
pp. 37-48
Author(s):  
Edwin León-Cardenal ◽  
Denis Ibadula ◽  
Dirk Segers
Keyword(s):  
Zeta Function ◽  
Local Zeta Function

scholarly journals A Dirichlet series expansion for the p-adic zeta-function

2006 ◽  
Vol 81 (2) ◽  
pp. 215-224 ◽  
Author(s):  
Daniel Delbourgo
Keyword(s):  
Fractional Derivative ◽  
Zeta Function ◽  
Dirichlet Series ◽  
Series Expansion ◽  
Generating Function

AbstractWe prove that the p-adic zeta-function constructed by Kubota and Leopoldt has the Dirichlet series expansion Where the convergence of the first summation is for the p-adic topology. The proof of this formula relates the values of p(–s, ω1+σ) for s ∈ Zp, with a branch of the ‘sth-fractional derivative’, of a suitable generating function.

scholarly journals The local zeta function for symmetric spaces of non-compact type

2011 ◽  
Vol 61 (1) ◽  
pp. 125-136 ◽  
Author(s):  
Tomás F. Godoy ◽  
Roberto J. Miatello ◽  
Floyd L. Williams
Keyword(s):  
Zeta Function ◽  
Symmetric Spaces ◽  
Compact Type ◽  
Local Zeta Function
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