Maglione, Joshua; Voll, Christopher Flag Hilbert-Poincaré series and Igusa zeta functions of hyperplane arrangements. (English) Zbl 1511.05236 Sémin. Lothar. Comb. 86B, Article 27, 12 p. (2022). MSC: 05E14 14E18 11S40 52C35 14N20 14G10 PDFBibTeX XMLCite \textit{J. Maglione} and \textit{C. Voll}, Sémin. Lothar. Comb. 86B, Article 27, 12 p. (2022; Zbl 1511.05236) Full Text: Link
Voll, Christopher Functional equations for zeta functions of groups and rings. (English) Zbl 1314.11057 Ann. Math. (2) 172, No. 2, 1181-1218 (2010). MSC: 11M41 11S40 20E07 PDFBibTeX XMLCite \textit{C. Voll}, Ann. Math. (2) 172, No. 2, 1181--1218 (2010; Zbl 1314.11057) Full Text: DOI arXiv
Klopsch, Benjamin; Voll, Christopher Zeta functions of three-dimensional \(p\)-adic Lie algebras. (English) Zbl 1193.11083 Math. Z. 263, No. 1, 195-210 (2009). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11M38 17B99 11E20 PDFBibTeX XMLCite \textit{B. Klopsch} and \textit{C. Voll}, Math. Z. 263, No. 1, 195--210 (2009; Zbl 1193.11083) Full Text: DOI arXiv
Nicaise, Johannes; Sebag, Julien Motivic Serre invariants, ramification, and the analytic Milnor fiber. (English) Zbl 1136.14010 Invent. Math. 168, No. 1, 133-173 (2007). Reviewer: Wilson A. Zuniga-Galindo (Mexico) MSC: 14F20 14B05 14G20 PDFBibTeX XMLCite \textit{J. Nicaise} and \textit{J. Sebag}, Invent. Math. 168, No. 1, 133--173 (2007; Zbl 1136.14010) Full Text: DOI arXiv
Wakatsuki, Satoshi Igusa local zeta functions of regular 2-simple prehomogeneous vector spaces of type 1 with universally transitive open orbits. (English) Zbl 1075.11077 Math. J. Okayama Univ. 46, 85-104 (2004). Reviewer: Wilson A. Zuniga-Galindo (Miami) MSC: 11S40 11S90 PDFBibTeX XMLCite \textit{S. Wakatsuki}, Math. J. Okayama Univ. 46, 85--104 (2004; Zbl 1075.11077)
Zuniga-Galindo, W. A. Local zeta-functions and Newton polyhedra. (English) Zbl 1063.11048 Nagoya Math. J. 172, 31-58 (2003). Reviewer: Masakazu Muro (Gifu) MSC: 11S40 14G10 11M38 PDFBibTeX XMLCite \textit{W. A. Zuniga-Galindo}, Nagoya Math. J. 172, 31--58 (2003; Zbl 1063.11048) Full Text: DOI arXiv
Zuniga-Galindo, W. A. Computing Igusa’s local zeta functions of univariate polynomials, and linear feedback shift registers. (English) Zbl 1040.11090 J. Integer Seq. 6, No. 3, Art. 03.3.6, 18 p. (2003). MSC: 11S40 94A60 11Y16 14G50 PDFBibTeX XMLCite \textit{W. A. Zuniga-Galindo}, J. Integer Seq. 6, No. 3, Art. 03.3.6, 18 p. (2003; Zbl 1040.11090) Full Text: EuDML EMIS
Hoornaert, Kathleen Newton polyhedra and the poles of Igusa’s local zeta function. (English) Zbl 1040.11086 Bull. Belg. Math. Soc. - Simon Stevin 9, No. 4, 589-606 (2002). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11S40 14G10 PDFBibTeX XMLCite \textit{K. Hoornaert}, Bull. Belg. Math. Soc. - Simon Stevin 9, No. 4, 589--606 (2002; Zbl 1040.11086)
Cassaigne, Julien; Maillot, Vincent Heights of hypersurfaces and Igusa’s zeta-functions. (Hauteur des hypersurfaces et fonctions zêta d’Igusa.) (French) Zbl 1001.11027 J. Number Theory 83, No. 2, 226-255 (2000). Reviewer: Hiroshi Hosokawa (Yokohama) MSC: 11G50 11M38 11S90 14G10 PDFBibTeX XMLCite \textit{J. Cassaigne} and \textit{V. Maillot}, J. Number Theory 83, No. 2, 226--255 (2000; Zbl 1001.11027) Full Text: DOI
Igusa, Jun-ichi An introduction to the theory of local zeta functions. (English) Zbl 0959.11047 AMS/IP Studies in Advanced Mathematics. 14. Providence, RI: American Mathematical Society (AMS). xii, 232 p. (2000). Reviewer: Masakazu Muro (Yanagido) MSC: 11S80 11-02 11M41 11S90 PDFBibTeX XMLCite \textit{J.-i. Igusa}, An introduction to the theory of local zeta functions. Providence, RI: American Mathematical Society (2000; Zbl 0959.11047)
Veys, Willem More congruences for numerical data of an embedded resolution. (English) Zbl 0984.14004 Compos. Math. 112, No. 3, 313-331 (1998). MSC: 14E15 11S45 32S45 14G20 14B05 PDFBibTeX XMLCite \textit{W. Veys}, Compos. Math. 112, No. 3, 313--331 (1998; Zbl 0984.14004) Full Text: DOI
Veys, Willem Zeta functions for curves and log canonical models. (English) Zbl 0872.32022 Proc. Lond. Math. Soc., III. Ser. 74, No. 2, 360-378 (1997). Reviewer: W.Veys (Leuven, Belgium) MSC: 32S50 11S80 14E30 14G20 PDFBibTeX XMLCite \textit{W. Veys}, Proc. Lond. Math. Soc. (3) 74, No. 2, 360--378 (1997; Zbl 0872.32022) Full Text: DOI
Assem, Magdy A note on rationality of orbital integrals on a \(p\)-adic group. (English) Zbl 0856.22019 Manuscr. Math. 89, No. 3, 267-279 (1996). Reviewer: T.S.Bhanu Murthy (Madras) MSC: 22E50 22E35 PDFBibTeX XMLCite \textit{M. Assem}, Manuscr. Math. 89, No. 3, 267--279 (1996; Zbl 0856.22019) Full Text: DOI EuDML
Martin, Roland A counterexample in the theory of local zeta functions. (English) Zbl 0869.11095 Exp. Math. 4, No. 4, 299-305 (1995). Reviewer: M.Muro (Yanagido) MSC: 11S40 11M41 14G10 PDFBibTeX XMLCite \textit{R. Martin}, Exp. Math. 4, No. 4, 299--305 (1995; Zbl 0869.11095) Full Text: DOI Euclid EuDML EMIS
Kimura, Tatsuo Arithmetic calculus of Fourier transforms by Igusa local zeta functions. (English) Zbl 0823.11069 Trans. Am. Math. Soc. 346, No. 1, 297-306 (1994). Reviewer: M.Muro (Yanagido) MSC: 11S40 14G10 14M15 20G20 PDFBibTeX XMLCite \textit{T. Kimura}, Trans. Am. Math. Soc. 346, No. 1, 297--306 (1994; Zbl 0823.11069) Full Text: DOI
Katsurada, Hidenori Rationality of a certain formal power series attached to local densities of quadratic forms. (English) Zbl 0818.11020 Manuscr. Math. 82, No. 2, 125-138 (1994). Reviewer: M.Muro (Yanagido) MSC: 11E45 11E95 11S40 PDFBibTeX XMLCite \textit{H. Katsurada}, Manuscr. Math. 82, No. 2, 125--138 (1994; Zbl 0818.11020) Full Text: DOI EuDML
Veys, Willem Holomorphy of local zeta functions for curves. (English) Zbl 0786.11068 Math. Ann. 295, No. 4, 635-641 (1993). Reviewer: W.Veys (Leuven) MSC: 11S40 14G10 32S40 PDFBibTeX XMLCite \textit{W. Veys}, Math. Ann. 295, No. 4, 635--641 (1993; Zbl 0786.11068) Full Text: DOI EuDML
Denef, J. Degree of local zeta functions and monodromy. (English) Zbl 0932.11073 Compos. Math. 89, No. 2, 207-216 (1993). MSC: 11S40 14G10 32S40 PDFBibTeX XMLCite \textit{J. Denef}, Compos. Math. 89, No. 2, 207--216 (1993; Zbl 0932.11073) Full Text: Numdam EuDML
Veys, Willem Poles of Igusa’s local zeta function and monodromy. (English) Zbl 0812.14014 Bull. Soc. Math. Fr. 121, No. 4, 545-598 (1993). Reviewer: M.Muro (Yanagido) MSC: 14G10 14G20 11S40 PDFBibTeX XMLCite \textit{W. Veys}, Bull. Soc. Math. Fr. 121, No. 4, 545--598 (1993; Zbl 0812.14014) Full Text: DOI Numdam Numdam EuDML
Katsurada, Hidenori A generalized Igusa local zeta function and local densities of quadratic forms. (English) Zbl 0796.11015 Tôhoku Math. J., II. Ser. 44, No. 2, 211-218 (1992). Reviewer: M.Muro (Yanagido) MSC: 11E45 11S40 14G10 11E08 PDFBibTeX XMLCite \textit{H. Katsurada}, Tôhoku Math. J. (2) 44, No. 2, 211--218 (1992; Zbl 0796.11015) Full Text: DOI
Robinson, Margaret M. Algebraic identities useful in the computation of Igusa local zeta functions. (English) Zbl 0776.11069 p-adic methods in number theory and algebraic geometry, Contemp. Math. 133, 171-174 (1992). Reviewer: M.Muro (Yanagido) MSC: 11S40 14G10 11R52 PDFBibTeX XMLCite \textit{M. M. Robinson}, Contemp. Math. 133, 171--174 (1992; Zbl 0776.11069)
Denef, Jan Report on Igusa’s local zeta function. (French) Zbl 0749.11054 Séminaire Bourbaki, Vol. 1990/91, Exp. No. 730-744, Astérisque 201-203, 359-386 (1991). Reviewer: M.Muro (Yanagido) MSC: 11S40 11-02 14G10 32S40 14M17 14G20 PDFBibTeX XMLCite \textit{J. Denef}, Astérisque 201--203, 359--386 (1991; Zbl 0749.11054) Full Text: Numdam EuDML
Denef, Jan; Meuser, Diane A functional equation of Igusa’s zeta function. (English) Zbl 0749.11053 Am. J. Math. 113, No. 6, 1135-1152 (1991). Reviewer: M.Muro (Yanagido) MSC: 11S40 11M38 14G10 14G20 PDFBibTeX XMLCite \textit{J. Denef} and \textit{D. Meuser}, Am. J. Math. 113, No. 6, 1135--1152 (1991; Zbl 0749.11053) Full Text: DOI
Hosokawa, Hiroshi The Igusa local zeta function associated with the nonregular irreducible prehomogeneous vector space. (English) Zbl 0738.11061 Tsukuba J. Math. 15, No. 1, 113-119 (1991). Reviewer: M.Muro (Yanagido) MSC: 11S40 14M17 PDFBibTeX XMLCite \textit{H. Hosokawa}, Tsukuba J. Math. 15, No. 1, 113--119 (1991; Zbl 0738.11061) Full Text: DOI
Veys, W. On the poles of Igusa’s local zeta function for curves. (English) Zbl 0659.14016 J. Lond. Math. Soc., II. Ser. 41, No. 1, 27-32 (1990). Reviewer: W.Veys MSC: 14G10 11S40 PDFBibTeX XMLCite \textit{W. Veys}, J. Lond. Math. Soc., II. Ser. 41, No. 1, 27--32 (1990; Zbl 0659.14016) Full Text: DOI
Kimura, Tatsuo Complex powers on \(p\)-adic fields and a resolution of singularities. (English) Zbl 0683.12009 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 1, 345-355 (1989). Reviewer: Balwant Singh (Mumbai) MSC: 11S40 14E15 PDFBibTeX XML
Denef, J. Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. (English) Zbl 0682.12013 Sémin. Théor. Nombres, Univ. Bordeaux I 1987-1988, Exp. No. 43, 8 p. (1988). Reviewer: F.Herrlich MSC: 11S80 12J25 32B20 14G10 11S40 PDFBibTeX XML Full Text: EuDML
Denef, J. On the degree of Igusa’s local zeta function. (English) Zbl 0659.14017 Am. J. Math. 109, 991-1008 (1987). Reviewer: Koji Katayama (Tokyo) MSC: 14G10 14G20 11S40 PDFBibTeX XMLCite \textit{J. Denef}, Am. J. Math. 109, 991--1008 (1987; Zbl 0659.14017) Full Text: DOI
Deshommes, Bernadette Puissance complexe p-adique et rationalité de séries génératrices. (Complex p-adic powers and rationality of generating functions). (English) Zbl 0611.12014 Sémin. Théor. Nombres, Univ. Bordeaux I 1985-1986, Exp. No. 20, 14 p. (1986). MSC: 11S40 14G10 14G15 14G20 PDFBibTeX XML