602 citations
- Institute of CrystallographyIT2 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PadovaIT2 papers
- University of PaduaIT2 papers
- Andrews UniversityUS1 paper
- Astronomical Observatory of RomeIT1 paper
- Chalmers University of TechnologySE1 paper
- Département de mathématiques et applicationsFR1 paper
- East Carolina UniversityUS1 paper
- École Normale Supérieure - PSLFR1 paper
- European Organization for Nuclear ResearchCH1 paper
- Forschungszentrum JülichDE1 paper
- Galaxies, Etoiles, Physique et InstrumentationFR1 paper
Showing math.NTShow all
2 papers · 1 filter
math.NT2005★ 1 cited
Lower bound for the poles of Igusa's p-adic zeta functions
Dirk Segers
Let K be a p-adic field, R the valuation ring of K, P the maximal ideal of R and q the cardinality of the residue field R/P. Let f be a polynomial over R in n>1 variables and let χ…
math.NT2005★ 10 cited
On the smallest poles of Igusa's p-adic zeta functions
Dirk Segers
Let K be a p-adic field. We explore Igusa's p-adic zeta function, which is associated to a K-analytic function on an open and compact subset of K^n. First we deduce a formula for a…