Cluckers, Raf; Glazer, Itay; Hendel, Yotam I. A number theoretic characterization of \(E\)-smooth and (FRS) morphisms: estimates on the number of \(\mathbb{Z}/p^k\mathbb{Z}\)-points. (English) Zbl 07783177 Algebra Number Theory 17, No. 12, 2229-2260 (2023). MSC: 03C98 11U09 14B05 14E18 11G25 14G05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Algebra Number Theory 17, No. 12, 2229--2260 (2023; Zbl 07783177) Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain; Vermeulen, Floris Hensel minimality II: Mixed characteristic and a Diophantine application. (English) Zbl 07753224 Forum Math. Sigma 11, Paper No. e89, 33 p. (2023). MSC: 03C99 14G05 03C65 12J20 11G50 11D88 03C98 14E18 41A58 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Forum Math. Sigma 11, Paper No. e89, 33 p. (2023; Zbl 07753224) Full Text: DOI arXiv OA License
Cluckers, Raf; Comte, Georges; Servi, Tamara Parametric Fourier and Mellin transforms of power-constructible functions. arXiv:2308.15958 Preprint, arXiv:2308.15958 [math.CA] (2023). MSC: 26B15 14P15 32B20 42B20 42A38 03C64 14P10 33B10 BibTeX Cite \textit{R. Cluckers} et al., ``Parametric Fourier and Mellin transforms of power-constructible functions'', Preprint, arXiv:2308.15958 [math.CA] (2023) Full Text: arXiv OA License
Cluckers, Raf; Halupczok, Immanuel Evaluation of motivic functions, non-nullity, and integrability in fibers. (English) Zbl 1511.14029 Adv. Math. 409, Part A, Article ID 108635, 29 p. (2022). Reviewer: Peter Petrov (Sofia) MSC: 14E18 03C98 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{I. Halupczok}, Adv. Math. 409, Part A, Article ID 108635, 29 p. (2022; Zbl 1511.14029) Full Text: DOI arXiv
Binyamini, Gal; Cluckers, Raf; Novikov, Dmitry Point counting and Wilkie’s conjecture for non-Archimedean Pfaffian and Noetherian functions. (English) Zbl 1519.11071 Duke Math. J. 171, No. 9, 1823-1842 (2022). Reviewer: Amador Martin-Pizarro (Freiburg) MSC: 11U09 03C98 11G50 14G05 PDFBibTeX XMLCite \textit{G. Binyamini} et al., Duke Math. J. 171, No. 9, 1823--1842 (2022; Zbl 1519.11071) Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain Hensel minimality. I. (English) Zbl 07536457 Forum Math. Pi 10, Paper No. e11, 68 p. (2022). MSC: 03C64 03C60 12J20 11D88 14E18 12L12 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Forum Math. Pi 10, Paper No. e11, 68 p. (2022; Zbl 07536457) Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel A \(p\)-adic variant of Kontsevich-Zagier integral operation rules and of Hrushovski-Kazhdan style motivic integration. (English) Zbl 1485.11163 J. Reine Angew. Math. 779, 105-121 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 03C40 12L12 14E18 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{I. Halupczok}, J. Reine Angew. Math. 779, 105--121 (2021; Zbl 1485.11163) Full Text: DOI arXiv
Cluckers, Raf; Friedland, Omer; Yomdin, Yosef Doubling coverings via resolution of singularities and preparation. (English) Zbl 1457.14031 Commun. Contemp. Math. 23, No. 2, Article ID 2050018, 23 p. (2021). Reviewer: Fujita Masato (Kure) MSC: 14E15 14P10 03C64 32B20 28D20 58K20 14G05 37C05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Commun. Contemp. Math. 23, No. 2, Article ID 2050018, 23 p. (2021; Zbl 1457.14031) Full Text: DOI arXiv
Cluckers, Raf; Forey, Arthur; Loeser, François Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields. (English) Zbl 1442.11098 Algebra Number Theory 14, No. 6, 1423-1456 (2020). MSC: 11G50 03C98 11D88 11U09 14G05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Algebra Number Theory 14, No. 6, 1423--1456 (2020; Zbl 1442.11098) Full Text: DOI arXiv
Aizenbud, Avraham; Cluckers, Raf Wave front holonomicity of \(\mathscr{C}^{\text{exp}}\)-class distributions on non-Archimedean logical fields. (English) Zbl 1454.14039 Forum Math. Sigma 8, Paper No. e35, 35 p. (2020). Reviewer: Immanuel Halupczok (Leeds) MSC: 14E18 03C60 11S80 11U09 14G20 14F10 PDFBibTeX XMLCite \textit{A. Aizenbud} and \textit{R. Cluckers}, Forum Math. Sigma 8, Paper No. e35, 35 p. (2020; Zbl 1454.14039) Full Text: DOI
Cluckers, Raf; Pila, Jonathan; Wilkie, Alex Uniform parameterization of subanalytic sets and Diophantine applications. (English) Zbl 1479.03016 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 1-42 (2020). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 03C64 11D45 11G50 11U09 14P15 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 1--42 (2020; Zbl 1479.03016) Full Text: DOI arXiv
Cluckers, Raf; Nguyen, Kien Huu Combining Igusa’s conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent. arXiv:2005.04197 Preprint, arXiv:2005.04197 [math.NT] (2020). MSC: 11L07 11S40 14E18 03C98 11F23 BibTeX Cite \textit{R. Cluckers} and \textit{K. H. Nguyen}, ``Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent'', Preprint, arXiv:2005.04197 [math.NT] (2020) Full Text: arXiv OA License
Cluckers, Raf; Halupczok, Immanuel Integration of functions of motivic exponential class, uniform in all non-Archimedean local fields of characteristic zero. (Intégration de fonctions de classe motivique exponentielle, uniforme dans tous les corps locaux de caractéristique nulle.) (English. French summary) Zbl 1433.14012 J. Éc. Polytech., Math. 5, 45-78 (2018). Reviewer: Jeremy Usatine (New Haven) MSC: 14E18 03C10 11S80 40J99 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{I. Halupczok}, J. Éc. Polytech., Math. 5, 45--78 (2018; Zbl 1433.14012) Full Text: DOI arXiv
Hrushovski, Ehud; Martin, Ben; Rideau, Silvain [Cluckers, Raf] Definable equivalence relations and zeta functions of groups. With an appendix by Raf Cluckers. (English) Zbl 1469.03105 J. Eur. Math. Soc. (JEMS) 20, No. 10, 2467-2537 (2018). MSC: 03C60 03C10 11M41 20E07 20C15 PDFBibTeX XMLCite \textit{E. Hrushovski} et al., J. Eur. Math. Soc. (JEMS) 20, No. 10, 2467--2537 (2018; Zbl 1469.03105) Full Text: DOI arXiv
Cluckers, Raf; Comte, Georges; Miller, Daniel J.; Rolin, Jean-Philippe; Servi, Tamara Integration of oscillatory and subanalytic functions. (English) Zbl 1394.42004 Duke Math. J. 167, No. 7, 1239-1309 (2018). MSC: 42B10 03C64 14P10 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Duke Math. J. 167, No. 7, 1239--1309 (2018; Zbl 1394.42004) Full Text: DOI arXiv Euclid
Cluckers, Raf; Halupczok, Immanuel; Loeser, François; Raibaut, Michel Distributions and wave front sets in the uniform non-archimedean setting. (English) Zbl 1409.35010 Trans. Lond. Math. Soc. 5, No. 1, 97-131 (2018). Reviewer: Peter Petrov (Maceio) MSC: 35A18 14E18 11S80 03C10 11U09 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Trans. Lond. Math. Soc. 5, No. 1, 97--131 (2018; Zbl 1409.35010) Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel Definable sets up to definable bijections in Presburger groups. (English) Zbl 1404.03032 Trans. Lond. Math. Soc. 5, No. 1, 47-70 (2018). Reviewer: Luc Bélair (Montréal) MSC: 03C60 03C10 06F20 13D15 16Y60 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{I. Halupczok}, Trans. Lond. Math. Soc. 5, No. 1, 47--70 (2018; Zbl 1404.03032) Full Text: DOI arXiv
Cluckers, Raf; Martin, Florent A definable \(p\)-adic analogue of Kirszbraun’s theorem on extensions of Lipschitz maps. (English) Zbl 1436.03196 J. Inst. Math. Jussieu 17, No. 1, 39-57 (2018). MSC: 03C60 03C98 12J25 11S80 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{F. Martin}, J. Inst. Math. Jussieu 17, No. 1, 39--57 (2018; Zbl 1436.03196) Full Text: DOI arXiv
Cluckers, Raf; Lipshitz, Leonard Strictly convergent analytic structures. (English) Zbl 1372.32031 J. Eur. Math. Soc. (JEMS) 19, No. 1, 107-149 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32B05 32B20 03C10 14P15 32C30 03C98 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{L. Lipshitz}, J. Eur. Math. Soc. (JEMS) 19, No. 1, 107--149 (2017; Zbl 1372.32031) Full Text: DOI arXiv
Cluckers, Raf; Miller, Daniel J. Bounding the decay of oscillatory integrals with a constructible amplitude function and a globally subanalytic phase function. (English) Zbl 1335.42007 J. Fourier Anal. Appl. 22, No. 1, 215-236 (2016). Reviewer: Bilal Bilalov (Baku) MSC: 42B20 42B10 32B20 03C64 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{D. J. Miller}, J. Fourier Anal. Appl. 22, No. 1, 215--236 (2016; Zbl 1335.42007) Full Text: DOI arXiv
Cluckers, Raf; Comte, Georges; Loeser, François Non-Archimedean Yomdin-Gromov parametrizations and points of bounded height. (English) Zbl 1393.11032 Forum Math. Pi 3, Paper No. e5, 60 p. (2015). MSC: 11D88 11G50 03C98 14G05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Forum Math. Pi 3, Paper No. e5, 60 p. (2015; Zbl 1393.11032) Full Text: DOI arXiv
Cluckers, Raf; Loeser, François Motivic integration in all residue field characteristics for Henselian discretely valued fields of characteristic zero. (English) Zbl 1316.14032 J. Reine Angew. Math. 701, 1-31 (2015). Reviewer: Immanuel Halupczok (Leeds) MSC: 14E18 14G20 03C98 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{F. Loeser}, J. Reine Angew. Math. 701, 1--31 (2015; Zbl 1316.14032) Full Text: DOI arXiv
Cluckers, Raf; Gordon, Julia; Halupczok, Immanuel Motivic functions, integrability, and applications to harmonic analysis on \(p\)-adic groups. (English) Zbl 1407.14011 Electron. Res. Announc. Math. Sci. 21, 137-152 (2014). MSC: 14E18 03C98 22E35 20G25 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Electron. Res. Announc. Math. Sci. 21, 137--152 (2014; Zbl 1407.14011) Full Text: DOI
Cluckers, Raf; Derakhshan, Jamshid; Leenknegt, Eva; Macintyre, Angus Uniformly defining valuation rings in Henselian valued fields with finite or pseudo-finite residue fields. (English) Zbl 1370.11138 Ann. Pure Appl. Logic 164, No. 12, 1236-1246 (2013). MSC: 11U09 03C60 11D88 11U05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Ann. Pure Appl. Logic 164, No. 12, 1236--1246 (2013; Zbl 1370.11138) Full Text: DOI arXiv
Cluckers, Raf; Loeser, François; Nicaise, Johannes Chai’s conjecture and Fubini properties of dimensional motivic integration. (English) Zbl 1312.14104 Algebra Number Theory 7, No. 4, 893-915 (2013). MSC: 14K15 14E18 03C65 03C98 11G10 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Algebra Number Theory 7, No. 4, 893--915 (2013; Zbl 1312.14104) Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel Approximations and Lipschitz continuity in \(p\)-adic semi-algebraic and subanalytic geometry. (English) Zbl 1345.03075 Sel. Math., New Ser. 18, No. 4, 825-837 (2012). MSC: 03C98 12J25 03C60 11S80 32B20 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{I. Halupczok}, Sel. Math., New Ser. 18, No. 4, 825--837 (2012; Zbl 1345.03075) Full Text: DOI arXiv
Cluckers, Raf; Comte, Georges; Loeser, François Local metric properties and regular stratifications of \(p\)-adic definable sets. (English) Zbl 1274.11168 Comment. Math. Helv. 87, No. 4, 963-1009 (2012). MSC: 11S80 03C98 12J10 12J25 14B05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Comment. Math. Helv. 87, No. 4, 963--1009 (2012; Zbl 1274.11168) Full Text: DOI arXiv
Cluckers, Raf; Leenknegt, Eva A version of \(p\)-adic minimality. (English) Zbl 1251.03042 J. Symb. Log. 77, No. 2, 621-630 (2012). Reviewer: Immanuel Halupczok (Münster) MSC: 03C64 03C07 03C10 12J12 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{E. Leenknegt}, J. Symb. Log. 77, No. 2, 621--630 (2012; Zbl 1251.03042) Full Text: DOI Euclid
Cluckers, Raf; Cunningham, Clifton; Gordon, Julia; Spice, Loren On the computability of some positive-depth supercuspidal characters near the identity. (English) Zbl 1247.22017 Represent. Theory 15, 531-567 (2011). Reviewer: Paul Broussous (Poitiers) MSC: 22E50 03C98 14E18 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Represent. Theory 15, 531--567 (2011; Zbl 1247.22017) Full Text: DOI arXiv
Cluckers, Raf (ed.); Nicaise, Johannes (ed.); Sebag, Julien (ed.) Motivic integration and its interactions with model theory and non-archimedean geometry. Vol. I. (English) Zbl 1241.14001 London Mathematical Society Lecture Note Series 383. Cambridge: Cambridge University Press (ISBN 978-0-521-14976-1/pbk). xi, 334 p. (2011). MSC: 14-06 14C15 14E18 14G22 14F20 03C65 00B15 PDFBibTeX XMLCite \textit{R. Cluckers} (ed.) et al., Motivic integration and its interactions with model theory and non-archimedean geometry. Vol. I. Cambridge: Cambridge University Press (2011; Zbl 1241.14001)
Cluckers, Raf; Halupczok, Immanuel Quantifier elimination in ordered abelian groups. (English) Zbl 1246.03059 Confluentes Math. 3, No. 4, 587-615 (2011). Reviewer: Carlo Toffalori (Camerino) MSC: 03C60 06F20 03C64 03C10 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{I. Halupczok}, Confluentes Math. 3, No. 4, 587--615 (2011; Zbl 1246.03059) Full Text: DOI arXiv
Cluckers, Raf (ed.); Nicaise, Johannes (ed.); Sebag, Julien (ed.) Motivic integration and its interactions with model theory and non-archimedean geometry. Vol. II. (English) Zbl 1230.14004 London Mathematical Society Lecture Note Series 384. Cambridge: Cambridge University Press (ISBN 978-1-107-64881-4/pbk). xii, 250 p. (2011). MSC: 14-06 14C15 14E18 14G40 11G50 03C65 00B15 PDFBibTeX XMLCite \textit{R. Cluckers} (ed.) et al., Motivic integration and its interactions with model theory and non-archimedean geometry. Vol. II. Cambridge: Cambridge University Press (2011; Zbl 1230.14004)
Cluckers, R.; Lipshitz, L. Fields with analytic structure. (English) Zbl 1291.03074 J. Eur. Math. Soc. (JEMS) 13, No. 4, 1147-1223 (2011). Reviewer: Mickaël Matusinski (Bordeaux) MSC: 03C64 03C60 12J99 32C05 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{L. Lipshitz}, J. Eur. Math. Soc. (JEMS) 13, No. 4, 1147--1223 (2011; Zbl 1291.03074) Full Text: DOI arXiv
Cluckers, Raf; Miller, Daniel J. Stability under integration of sums of products of real globally subanalytic functions and their logarithms. (English) Zbl 1216.26008 Duke Math. J. 156, No. 2, 311-348 (2011). Reviewer: József Sándor (Cluj-Napoca) MSC: 26B15 14P15 32B20 03C64 14P10 33B10 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{D. J. Miller}, Duke Math. J. 156, No. 2, 311--348 (2011; Zbl 1216.26008) Full Text: DOI arXiv
Cluckers, Raf; Comte, Georges; Loeser, François Lipschitz continuity properties for \(p\)-adic semi-algebraic and subanalytic functions. (English) Zbl 1220.12003 Geom. Funct. Anal. 20, No. 1, 68-87 (2010). Reviewer: Tobias Kaiser (Passau) MSC: 12J10 03C98 11S80 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Geom. Funct. Anal. 20, No. 1, 68--87 (2010; Zbl 1220.12003) Full Text: DOI arXiv
Cluckers, Raf; Loeser, François Constructible exponential functions, motivic Fourier transform and transfer principle. (English) Zbl 1246.14025 Ann. Math. (2) 171, No. 2, 1011-1065 (2010). Reviewer: Immanuel Halupczok (Münster) MSC: 14E18 14G20 03C98 22E50 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{F. Loeser}, Ann. Math. (2) 171, No. 2, 1011--1065 (2010; Zbl 1246.14025) Full Text: DOI arXiv
Cluckers, Raf An introduction to \(b\)-minimality. (English) Zbl 1190.03035 Cooper, S. Barry (ed.) et al., Logic colloquium 2006. Proceedings of the annual European summer meeting of the Association for Symbolic Logic (ASL), Nijmegen, Netherlands, July 27–August 2, 2006. Cambridge: Cambridge University Press; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 978-0-521-11081-5/hbk). Lecture Notes in Logic 32, 91-102 (2009). MSC: 03C64 PDFBibTeX XMLCite \textit{R. Cluckers}, Lect. Notes Log. 32, 91--102 (2009; Zbl 1190.03035) Full Text: arXiv
Cluckers, R.; Lipshitz, L.; Robinson, Z. Real closed fields with non-standard and standard analytic structure. (English) Zbl 1184.03032 J. Lond. Math. Soc., II. Ser. 78, No. 1, 198-212 (2008). Reviewer: Tobias Kaiser (Passau) MSC: 03C64 32P05 32B05 32B20 03C10 03C98 03C60 14P15 PDFBibTeX XMLCite \textit{R. Cluckers} et al., J. Lond. Math. Soc., II. Ser. 78, No. 1, 198--212 (2008; Zbl 1184.03032) Full Text: DOI arXiv
Cluckers, Raf; Loeser, François Constructible motivic functions and motivic integration. (English) Zbl 1179.14011 Invent. Math. 173, No. 1, 23-121 (2008). Reviewer: Immanuel Halupczok (Münster) MSC: 14E18 14G20 03C10 11S85 14B10 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{F. Loeser}, Invent. Math. 173, No. 1, 23--121 (2008; Zbl 1179.14011) Full Text: DOI arXiv
Cluckers, Raf; Denef, Jan Orbital integrals for linear groups. (English) Zbl 1135.11065 J. Inst. Math. Jussieu 7, No. 2, 269-289 (2008). Reviewer: Immanuel Halupczok (Paris) MSC: 11S40 03C98 22E35 11S20 11U09 11M41 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{J. Denef}, J. Inst. Math. Jussieu 7, No. 2, 269--289 (2008; Zbl 1135.11065) Full Text: DOI arXiv
Cluckers, Raf; Loeser, François \(b\)-minimality. (English) Zbl 1146.03021 J. Math. Log. 7, No. 2, 195-227 (2007). MSC: 03C64 03C10 03C60 11S40 11S80 11U09 12J10 12J12 12L12 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{F. Loeser}, J. Math. Log. 7, No. 2, 195--227 (2007; Zbl 1146.03021) Full Text: DOI arXiv
Cluckers, Raf; Edmundo, Mário Integration of positive constructible functions against Euler characteristic and dimension. (English) Zbl 1112.03032 J. Pure Appl. Algebra 208, No. 2, 691-698 (2007). MSC: 03C64 14P15 14G20 20A15 44A12 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{M. Edmundo}, J. Pure Appl. Algebra 208, No. 2, 691--698 (2007; Zbl 1112.03032) Full Text: DOI arXiv
Cluckers, R.; Hales, T.; Loeser, F. Transfer Principle for the Fundamental Lemma. arXiv:0712.0708 Preprint, arXiv:0712.0708 [math.RT] (2007). MSC: 03C98 22E35 03C10 11F85 14G20 20G25 22E50 BibTeX Cite \textit{R. Cluckers} et al., ``Transfer Principle for the Fundamental Lemma'', Preprint, arXiv:0712.0708 [math.RT] (2007) Full Text: arXiv
Cluckers, Raf; Lipshitz, Leonard; Robinson, Zachary Analytic cell decomposition and analytic motivic integration. (English) Zbl 1168.12006 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 535-568 (2006). Reviewer: Luc Bélair (Montréal) MSC: 12J10 03C10 14E18 12L12 14G20 14G27 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 535--568 (2006; Zbl 1168.12006) Full Text: DOI arXiv Numdam Numdam EuDML
Cluckers, Raf Grothendieck rings of Laurent series fields. (English) Zbl 1039.03028 J. Algebra 272, No. 2, 692-700 (2004). MSC: 03C60 12L12 PDFBibTeX XMLCite \textit{R. Cluckers}, J. Algebra 272, No. 2, 692--700 (2004; Zbl 1039.03028) Full Text: DOI arXiv
Cluckers, Raf Analytic \(p\)-adic cell decomposition and integrals. (English) Zbl 1048.11094 Trans. Am. Math. Soc. 356, No. 4, 1489-1499 (2004). Reviewer: Dimitru Busneag (Craiova) MSC: 11S80 32P05 32B20 03C10 03C98 11U09 11S40 PDFBibTeX XMLCite \textit{R. Cluckers}, Trans. Am. Math. Soc. 356, No. 4, 1489--1499 (2004; Zbl 1048.11094) Full Text: DOI arXiv
Cluckers, R.; Loeser, F. Fonctions constructibles et intégration motivique II. arXiv:math/0403350 Preprint, arXiv:math/0403350 [math.AG] (2004). MSC: 14G20 03C10 11S80 11U09 BibTeX Cite \textit{R. Cluckers} and \textit{F. Loeser}, ``Fonctions constructibles et int\'egration motivique II'', Preprint, arXiv:math/0403350 [math.AG] (2004) Full Text: arXiv
Cluckers, R.; Loeser, F. Fonctions constructibles et intégration motivique I. arXiv:math/0403349 Preprint, arXiv:math/0403349 [math.AG] (2004). MSC: 14G20 03C10 11S80 11U09 BibTeX Cite \textit{R. Cluckers} and \textit{F. Loeser}, ``Fonctions constructibles et int\'egration motivique I'', Preprint, arXiv:math/0403349 [math.AG] (2004) Full Text: arXiv
Cluckers, Raf Presburger sets and \(p\)-minimal fields. (English) Zbl 1046.03019 J. Symb. Log. 68, No. 1, 153-162 (2003). Reviewer: Roman Kossak (New York) MSC: 03C60 03C62 PDFBibTeX XMLCite \textit{R. Cluckers}, J. Symb. Log. 68, No. 1, 153--162 (2003; Zbl 1046.03019) Full Text: DOI arXiv
Cluckers, Raf Cell decomposition and p-adic integration. arXiv:math/0301023 Preprint, arXiv:math/0301023 [math.LO] (2003). MSC: 03C98 11S80 11S40 03C10 11U09 03C07 03C60 12L12 BibTeX Cite \textit{R. Cluckers}, ``Cell decomposition and p-adic integration'', Preprint, arXiv:math/0301023 [math.LO] (2003) Full Text: arXiv
Cluckers, Raf Model theory of valued fields. (English) Zbl 1128.03306 Bélair, L. (ed.) et al., Model theory and applications. Based on the Euro-Conference in model theory and applications, Ravello, Italy, May 27–June 1, 2002. Rome: Aracne (ISBN 88-7999-411-5/hbk). Quaderni di Matematica 11, 73-85 (2002). MSC: 03C60 03C10 12J10 12L12 03C64 PDFBibTeX XMLCite \textit{R. Cluckers}, Quad. Mat. 11, 73--85 (2002; Zbl 1128.03306) Full Text: arXiv
Cluckers, Raf; Haskell, Deirdre Grothendieck rings of \(\mathbb{Z}\)-valued fields. (English) Zbl 0988.03058 Bull. Symb. Log. 7, No. 2, 262-269 (2001). Reviewer: Luc Bélair (Montréal) MSC: 03C60 12L12 PDFBibTeX XMLCite \textit{R. Cluckers} and \textit{D. Haskell}, Bull. Symb. Log. 7, No. 2, 262--269 (2001; Zbl 0988.03058) Full Text: DOI arXiv Link