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Author ID: lichtin.ben Recent zbMATH articles by "Lichtin, Ben"
Published as: Lichtin, Ben; Lichtin, B.
Documents Indexed: 40 Publications since 1981
Co-Authors: 3 Co-Authors with 7 Joint Publications
25 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 131 times in 82 Documents Cited by Year
Estimation of Lojasiewicz exponents and Newton polygons. Zbl 0556.32003
Lichtin, Ben
16
1981
Generalized Dirichlet series and b-functions. Zbl 0637.32002
Lichtin, Ben
13
1988
Poles of \(| f(z,w)| ^{2s}\) and roots of the b-function. Zbl 0719.32016
Lichtin, B.
13
1989
Poles of a local zeta function and Newton polygons. Zbl 0606.14022
Lichtin, Ben; Meuser, Diane
12
1985
The asymptotics of a lattice point problem associated to a finite number of polynomials. I. Zbl 0735.11048
Lichtin, Ben
8
1991
On a question of Igusa: towards a theory of several variable asymptotic expansions. I. Zbl 0969.11015
Lichtin, Ben
7
2000
Meromorphic continuation of multivariable Euler products. Zbl 1181.11057
Bhowmik, Gautami; Essouabri, Driss; Lichtin, Ben
6
2007
On a conjecture of Igusa. Zbl 1335.11067
Lichtin, Ben
5
2013
On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials. Zbl 0759.11027
Lichtin, Ben
4
1991
Zeta functions of discrete self-similar sets. Zbl 1310.11096
Essouabri, Driss; Lichtin, Ben
4
2013
On a question of Igusa. II: Uniform asymptotic bounds for Fourier transforms in several variables. Zbl 1066.11035
Lichtin, Ben
4
2005
\(k\)-point configurations of discrete self-similar sets. Zbl 1325.11093
Essouabri, Driss; Lichtin, Ben
4
2013
Distance and sum-product problems over finite \(p\)-adic rings. Zbl 1473.11221
Lichtin, Ben
3
2019
Some algebro-geometric formulae for poles of \(| f(x,y)| ^ s\). Zbl 0577.32010
Lichtin, Ben
3
1985
The asymptotics of a lattice point problem determined by a hypoelliptic polynomial. Zbl 0820.11061
Lichtin, Ben
3
1993
The asymptotics of a lattice point problem associated to a finite number of polynomials. II. Zbl 0832.11037
Lichtin, Ben
3
1995
Uniform bounds for some exponential sums \(\pmod {p^r}\) in two variables. Zbl 1067.11051
Lichtin, Ben
3
2003
On a conjecture of Igusa. II. Zbl 1359.11072
Lichtin, Ben
3
2016
An upper semicontinuity theorem for some leading poles of \(| f| ^{2s}\). Zbl 0615.32007
Lichtin, Ben
2
1987
Poles of Dirichlet series and D-modules. Zbl 0699.10060
Lichtin, Ben
2
1989
On a question of Heath-Brown: Good estimates on average for higher degree Kloosterman sums. Zbl 1018.11040
Lichtin, Ben
2
2003
Geometric features of lattice point problems. Zbl 0993.11051
Lichtin, Ben
2
1995
Uniform bounds for two variable real oscillatory integrals and singularities of mappings. Zbl 1129.11052
Lichtin, Ben
2
2007
A connection between polar invariants and roots of the Bernstein-Sato polynomial. Zbl 0557.14001
Lichtin, Ben
1
1983
Additive features of determinant values over \(p\)-adic rings. Zbl 1508.11114
Lichtin, Ben
1
2021
Asymptotic determined by pairs of additive polynomials. Zbl 0886.11056
Lichtin, Ben
1
1997
Volumes and lattice points – proof of a conjecture of L. Ehrenpreis. Zbl 0820.11062
Lichtin, Ben
1
1994
On a question of Igusa. III: A generalized Poisson formula for pairs of polynomials. Zbl 1129.11015
Lichtin, Ben
1
2007
Applications of multivariate asymptotics I: Boundedness of a maximal operator on \(L^p(\mathbb R^3)\). Zbl 1207.42019
Lichtin, Ben
1
2009
Averages of point configuration problems over finite \(p\)-adic rings. Zbl 1495.11141
Lichtin, Ben
1
2021
Additive features of determinant values over \(p\)-adic rings. Zbl 1508.11114
Lichtin, Ben
1
2021
Averages of point configuration problems over finite \(p\)-adic rings. Zbl 1495.11141
Lichtin, Ben
1
2021
Distance and sum-product problems over finite \(p\)-adic rings. Zbl 1473.11221
Lichtin, Ben
3
2019
On a conjecture of Igusa. II. Zbl 1359.11072
Lichtin, Ben
3
2016
On a conjecture of Igusa. Zbl 1335.11067
Lichtin, Ben
5
2013
Zeta functions of discrete self-similar sets. Zbl 1310.11096
Essouabri, Driss; Lichtin, Ben
4
2013
\(k\)-point configurations of discrete self-similar sets. Zbl 1325.11093
Essouabri, Driss; Lichtin, Ben
4
2013
Applications of multivariate asymptotics I: Boundedness of a maximal operator on \(L^p(\mathbb R^3)\). Zbl 1207.42019
Lichtin, Ben
1
2009
Meromorphic continuation of multivariable Euler products. Zbl 1181.11057
Bhowmik, Gautami; Essouabri, Driss; Lichtin, Ben
6
2007
Uniform bounds for two variable real oscillatory integrals and singularities of mappings. Zbl 1129.11052
Lichtin, Ben
2
2007
On a question of Igusa. III: A generalized Poisson formula for pairs of polynomials. Zbl 1129.11015
Lichtin, Ben
1
2007
On a question of Igusa. II: Uniform asymptotic bounds for Fourier transforms in several variables. Zbl 1066.11035
Lichtin, Ben
4
2005
Uniform bounds for some exponential sums \(\pmod {p^r}\) in two variables. Zbl 1067.11051
Lichtin, Ben
3
2003
On a question of Heath-Brown: Good estimates on average for higher degree Kloosterman sums. Zbl 1018.11040
Lichtin, Ben
2
2003
On a question of Igusa: towards a theory of several variable asymptotic expansions. I. Zbl 0969.11015
Lichtin, Ben
7
2000
Asymptotic determined by pairs of additive polynomials. Zbl 0886.11056
Lichtin, Ben
1
1997
The asymptotics of a lattice point problem associated to a finite number of polynomials. II. Zbl 0832.11037
Lichtin, Ben
3
1995
Geometric features of lattice point problems. Zbl 0993.11051
Lichtin, Ben
2
1995
Volumes and lattice points – proof of a conjecture of L. Ehrenpreis. Zbl 0820.11062
Lichtin, Ben
1
1994
The asymptotics of a lattice point problem determined by a hypoelliptic polynomial. Zbl 0820.11061
Lichtin, Ben
3
1993
The asymptotics of a lattice point problem associated to a finite number of polynomials. I. Zbl 0735.11048
Lichtin, Ben
8
1991
On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials. Zbl 0759.11027
Lichtin, Ben
4
1991
Poles of \(| f(z,w)| ^{2s}\) and roots of the b-function. Zbl 0719.32016
Lichtin, B.
13
1989
Poles of Dirichlet series and D-modules. Zbl 0699.10060
Lichtin, Ben
2
1989
Generalized Dirichlet series and b-functions. Zbl 0637.32002
Lichtin, Ben
13
1988
An upper semicontinuity theorem for some leading poles of \(| f| ^{2s}\). Zbl 0615.32007
Lichtin, Ben
2
1987
Poles of a local zeta function and Newton polygons. Zbl 0606.14022
Lichtin, Ben; Meuser, Diane
12
1985
Some algebro-geometric formulae for poles of \(| f(x,y)| ^ s\). Zbl 0577.32010
Lichtin, Ben
3
1985
A connection between polar invariants and roots of the Bernstein-Sato polynomial. Zbl 0557.14001
Lichtin, Ben
1
1983
Estimation of Lojasiewicz exponents and Newton polygons. Zbl 0556.32003
Lichtin, Ben
16
1981
all top 5

Cited by 90 Authors

15 Lichtin, Ben
4 Essouabri, Driss
3 Cluckers, Raf
3 Krasiński, Tadeusz
3 Lapidus, Michel L.
3 Mustaţă, Mircea
3 Nguyen, Kien Huu
3 Oleksik, Grzegorz
3 Veys, Willem
3 Zúñiga-Galindo, Wilson A.
2 Blanco, Guillem
2 Brzostowski, Szymon
2 Cutkosky, Steven Dale
2 Greenblatt, Michael
2 Hoornaert, Kathleen
2 León-Cardenal, Edwin
2 Meuser, Diane
2 Phạm Tiên So’n
2 Płoski, Arkadiusz
2 Radunović, Goran
2 Yger, Alain
2 Žubrinić, Darko
1 Abderrahmane, Ould M.
1 Adolphson, Alan
1 Albarracín Mantilla, Adriana Alexandra
1 Àlvarez Montaner, Josep
1 Berenstein, Carlos Alberto
1 Bivià-Ausina, Carles
1 Bollaerts, Dirk
1 Budur, Nero
1 Cowan, Raemeon A.
1 de la Bretèche, Régis
1 Delabarre, Ludovic
1 Demailly, Jean-Pierre
1 Denef, Jan
1 Derbal, Abdellah
1 Dirks, Bradley
1 Ein, Lawrence Man Hon
1 Feehan, Paul M. N.
1 Fraser, Robert
1 Gago-Vargas, Jesús
1 Hartillo-Hermoso, María Isabel
1 Jeffries, Jack
1 Kamimoto, Joe
1 Karpishpan, Yakov
1 Katz, Daniel J.
1 Kim, Dano
1 Kogiso, Takeyoshi
1 Kollár, János
1 Komori, Yasushi
1 Kucharz, Wojciech
1 Kurokawa, Nobushige
1 Lazarsfeld, Robert Kendall
1 Le Mâu Hai
1 Lenarcik, Andrzej
1 Matsumoto, Kohji
1 Mehta, Jay G.
1 Melle-Hernández, Alejandro
1 Miller, Daniel J.
1 Nakamura, Takashi
1 Núñez-Betancourt, Luis
1 Ochiai, Hiroyuki
1 Pankowski, Łukasz
1 Phạm Hoàng Hiệp
1 Popa, Mihnea
1 Rodak, Tomasz
1 Sadaoui, Boualem
1 Saha, Biswajyoti
1 Saia, Marcelo José
1 Saldana, Amandine
1 Sato, Fumihiro
1 Schoutens, Hans
1 Smith, Karen E.
1 Sperber, Steven I.
1 Spodzieja, Stanisław
1 Tan, Sheng-Li
1 Tanigawa, Yoshio
1 Torrelli, Tristan
1 Ucha-Enríquez, José María
1 van der Veer, Robin
1 Varolin, Dror
1 Velásquez Castañón, Oswaldo
1 Vidras, Alekos
1 Viswanadham, G. K.
1 Vu Viet Hung
1 White, Lauren M.
1 Wright, James Robert
1 Yau, Stephen Shing-Toung
1 Zhai, Wenguang
1 Zuo, Huaiqing
all top 5

Cited in 44 Serials

7 Journal of Number Theory
6 Transactions of the American Mathematical Society
5 Compositio Mathematica
5 Proceedings of the American Mathematical Society
4 Advances in Mathematics
4 Duke Mathematical Journal
2 Periodica Mathematica Hungarica
2 Arkiv för Matematik
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Journal de Théorie des Nombres de Bordeaux
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of the Mathematical Society of Japan
1 Journal of Pure and Applied Algebra
1 Kodai Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 International Journal of Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Experimental Mathematics
1 Kyushu Journal of Mathematics
1 Finite Fields and their Applications
1 The Journal of Fourier Analysis and Applications
1 The Ramanujan Journal
1 Geometry & Topology
1 Annales Mathematicae Silesianae
1 International Journal of Number Theory
1 Online Journal of Analytic Combinatorics
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma

Citations by Year