Jan Denef
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Jan Denefmathematics Degrees
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Algebraic Geometry
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Mathematics
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(Suggest an Edit or Addition)Jan Denef's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Germs of arcs on singular algebraic varieties and motivic integration (1998) (482)
- P-adic and real subanalytic sets (1988) (349)
- Motivic Igusa zeta functions (1998) (310)
- Geometry on Arc Spaces of Algebraic Varieties (2000) (279)
- The rationality of the Poincaré series associated to thep-adic points on a variety (1984) (271)
- Report on Igusa's local zeta function (1991) (195)
- Weights of exponential sums, intersection cohomology, and Newton polyhedra (1991) (151)
- p-adic semi-algebraic sets and cell decomposition. (1986) (149)
- Definable sets, motives and p-adic integrals (1999) (134)
- Motivic Integration, Quotient Singularities and the McKay Correspondence (1999) (133)
- The Diophantine problem for polynomial rings and fields of rational functions (1978) (117)
- On the Degree of Igusa's Local Zeta Function (1987) (116)
- Diophantine Sets over Some Rings of Algebraic Integers (1978) (103)
- Power series solutions of algebraic differential equations (1984) (96)
- Algebraic power series and diagonals (1987) (94)
- Motivic exponential integrals and a Motivic Thom-Sebastiani theorem (1998) (89)
- Lefschetz numbers of iterates of the monodromy and truncated arcs (2000) (89)
- Ultraproducts and approximation in local rings I (1979) (78)
- The Diophantine Problem for Polynomial Rings of Positive Characteristic (1979) (75)
- Newton polyhedra and Igusa's local zeta function (2001) (73)
- Computing Zeta Functions of Nondegenerate Curves (2006) (66)
- On the evaluation of certain p-adic integrals (1985) (57)
- Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem : Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium (2000) (52)
- Ultraproducts and approximation in local rings. II (1980) (52)
- An Extension of Kedlaya's Algorithm to Hyperelliptic Curves in Characteristic 2 (2004) (51)
- Motivic integration and the Grothendieck group of pseudo-finite fields (2002) (47)
- On some rational generating series occuring in arithmetic geometry (2002) (46)
- Diophantine sets over algebraic integer rings. II (1980) (46)
- Hilbert’s tenth problem for quadratic rings (1975) (43)
- Arithmetic and Geometric Applications of Quantifier Elimination for Valued Fields (2000) (38)
- Counting points on Cab curves using Monsky-Washnitzer cohomology (2006) (38)
- An Extension of Kedlaya's Algorithm to Artin-Schreier Curves in Characteristic 2 (2002) (37)
- Poles of $p$-adic complex powers and Newton polyhedra (1985) (37)
- Exponential sums mod p(n) and Newton polyhedra (2001) (36)
- Local zeta-functions and euler characteristics (1991) (34)
- Degree of local zeta functions and monodromy (1993) (33)
- Decision problems for differential equations (1989) (30)
- Oscillating integrals and Newton polyhedra (2004) (27)
- Weak toroidalization over non-closed fields (2010) (27)
- Regular elements and monodromy of discriminants of finite reflection groups (1995) (23)
- Diophantine sets over z[t] (1978) (20)
- On the holomorphy conjecture for Igusa’s local zeta function (1995) (20)
- On the Decidability of the Existential Theory of F p [ [ t ] ] (2005) (19)
- DIOPHANTINE SETS OVER ALGEBRAIC INTEGER RINGS (2010) (19)
- Further remarks on the elementary theory of formal power series rings (1980) (16)
- The asymptotic behaviour of solutions of difference equations of Poincare's type (1974) (16)
- Smoothing of a Ring Homomorphism Along a Section (1983) (16)
- Character sums associated to finite Coxeter groups (1998) (12)
- Character Sums Asociated to Prehomogeneous Vector Spaces (1998) (12)
- Monomialization of morphisms and p-adic quantifier elimination (2011) (10)
- Geometric proofs of theorems of Ax-Kochen and Eršov (2016) (10)
- Character sums associated to prehomogeneous vector spaces (vol 113, pg 273, 1998) (2001) (10)
- Diophantine sets over (1978) (9)
- On the vanishing of principal value integrals (1998) (9)
- Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set (1988) (8)
- The approximation property for some 5-dimensional Henselian rings (1983) (8)
- Errata for “ An Extension of Kedlaya ’ s Algorithm to Hyperelliptic Curves in Characteristic 2 ” , and related papers (2006) (6)
- ON AX-FIELDS WHICH ARE C1 (1983) (6)
- Proof of a conjecture of Colliot-Thélène and a diophantine excision theorem (2011) (6)
- ON THE LARGEST NONTRIVAL POLE OF THE DISTRIBUTION $|f|^s$ (1997) (5)
- ORBITAL INTEGRALS FOR LINEAR GROUPS (2007) (5)
- Some remarks on toroidal morphisms (2013) (4)
- Global approximation in dimension two (1990) (2)
- Hilbert's Tenth Problem (2000) (2)
- Weak toroidalization over non-closed fields (2013) (1)
- MACDONALD INTEGRALS AND MONODROMY (2001) (1)
- Geometry on arc spaces of algebraic varietiesJan (2001) (0)
- Report on Igua's local zeta funciton (1991) (0)
- In Memoriam: Jun-Ichi Igusa 1924–2013 (2016) (0)
- [Darier-Ferrand dermato-fibro-sarcoma]. (1971) (0)
- N T ] 8 J an 2 00 7 Computing Zeta Functions of Nondegenerate Curves (2019) (0)
- LEFSCHETZ NUMBERS OF ITERATES OF THEMONODROMY AND TRUNCATED ARCSbyJan Denef (2000) (0)
- Newton polyhedra and weights of exponential-sums (1990) (0)
- [A case of cirsoid aneurysm of the forehead]. (1971) (0)
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