# zbMATH — the first resource for mathematics

## Anderson, Greg W.

Compute Distance To:
 Author ID: anderson.greg-w Published as: Anderson, G. W.; Anderson, Greg; Anderson, Greg W.
 Documents Indexed: 51 Publications since 1982, including 2 Books
all top 5

#### Co-Authors

 34 single-authored 4 Zeitouni, Ofer 2 Ihara, Yasutaka 2 Thakur, Dinesh S. 1 Blasius, Don 1 Brownawell, W. Dale 1 Chow, Bennett 1 Coleman, Robert Frederick 1 Farrell, Brendan 1 Guionnet, Alice 1 Indik, Robert A. 1 Moore, Gregory Winthrop 1 Norton Kercheval, Alec 1 Ouyang, Yi 1 Pablos Romo, Fernando 1 Papanikolas, Matthew A. 1 Zettler, George
all top 5

#### Serials

 5 Duke Mathematical Journal 4 Compositio Mathematica 4 Journal of Number Theory 3 IMRN. International Mathematics Research Notices 3 Annals of Mathematics. Second Series 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Forum Mathematicum 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 The Annals of Statistics 1 Canadian Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Advances in Applied Mathematics 1 Probability Theory and Related Fields 1 International Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Calculus of Variations and Partial Differential Equations 1 Cambridge Studies in Advanced Mathematics 1 Synthesis Lectures on Mathematics and Statistics
all top 5

#### Fields

 28 Number theory (11-XX) 19 Algebraic geometry (14-XX) 8 Probability theory and stochastic processes (60-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 3 Special functions (33-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

45 Publications have been cited 1,049 times in 846 Documents Cited by Year
An introduction to random matrices. Zbl 1184.15023
Anderson, Greg W.; Guionnet, Alice; Zeitouni, Ofer
2010
$$t$$-motives. Zbl 0679.14001
Anderson, Greg W.
1986
Tensor powers of the Carlitz module and zeta values. Zbl 0713.11082
Anderson, Greg W.; Thakur, Dinesh S.
1990
A CLT for a band matrix model. Zbl 1084.60014
Anderson, Greg W.; Zeitouni, Ofer
2006
Determination of the algebraic relations among special $$\Gamma$$-values in positive characteristic. Zbl 1064.11055
Anderson, Greg W.; Brownawell, W. Dale; Papanikolas, Matthew A.
2004
Rationality in conformal field theory. Zbl 0647.17012
Anderson, Greg; Moore, Greg
1988
Log-algebraicity of twisted $$A$$-harmonic series and special values of $$L$$-series in characteristic $$p$$. Zbl 0868.11031
Anderson, Greg W.
1996
Rank one elliptic $$A$$-modules and $$A$$-harmonic series. Zbl 0807.11032
Anderson, Greg W.
1994
Convergence of the largest singular value of a polynomial in independent Wigner matrices. Zbl 1282.60007
Anderson, Greg W.
2013
A short proof of Selberg’s generalized beta formula. Zbl 0723.33002
Anderson, Greg W.
1991
Pro-$$\ell$$ branched coverings of $$P^ 1$$ and higher circular $$\ell$$- units. Zbl 0692.14018
Anderson, Greg; Ihara, Yasutaka
1988
Simple proofs of classical explicit reciprocity laws on curves using determinant groupoids over an Artinian local ring. Zbl 1077.14033
Anderson, Greg W.; Pablos Romo, Fernando
2004
A law of large numbers for finite-range dependent random matrices. Zbl 1189.60018
Anderson, Greg W.; Zeitouni, Ofer
2008
Multizeta values for $$\mathbb F_q[t]$$, their period interpretation, and relations between them. Zbl 1183.11052
Anderson, Greg W.; Thakur, Dinesh S.
2009
An elementary approach to $$L$$-functions $$\text{mod }p$$. Zbl 0977.11036
Anderson, G. W.
2000
On Tate modules of formal $$t$$-modules. Zbl 0777.11020
Anderson, Greg W.
1993
A double complex for computing the sign-cohomology of the universal ordinary distribution. Zbl 0939.11035
Anderson, Greg W.
1999
The hyperadelic gamma function. Zbl 0682.14011
Anderson, Greg W.
1989
Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains. Zbl 0557.32006
Anderson, Greg W.
1983
Kronecker-Weber plus epsilon. Zbl 1056.11060
Anderson, Greg W.
2002
A two-dimensional analogue of Stickelberger’s theorem. Zbl 0797.11056
Anderson, G. W.
1992
Logarithmic derivatives of Dirichlet L-functions and the periods of Abelian varieties. Zbl 0501.14025
Anderson, Greg W.
1982
On representations of the Weil group with bounded conductor. Zbl 0849.11086
Anderson, Greg; Blasius, Don; Coleman, Robert; Zettler, George
1994
A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds. Zbl 1082.53069
Anderson, Greg; Chow, Bennett
2005
The evaluation of Selberg sums. Zbl 0724.11063
Anderson, Greg W.
1990
Cyclotomy and an extension of the Taniyama group. Zbl 0591.14001
Anderson, Greg W.
1986
A CLT for regularized sample covariance matrices. Zbl 1360.60047
Anderson, Greg W.; Zeitouni, Ofer
2008
Abeliants and their application to an elementary construction of Jacobians. Zbl 1065.14035
Anderson, Greg W.
2002
Pro-$$\ell$$ branched coverings of $${\mathbb{P}}^ 1$$ and higher circular $$\ell$$-units. II. Zbl 0715.14021
Anderson, Greg W.; Ihara, Yasutaka
1990
Torsion points on Fermat Jacobians, roots of circular units and relative singular homology. Zbl 1370.11069
Anderson, Greg W.
1987
Torsion points on Jacobians of quotients of Fermat curves and $$p$$-adic soliton theory. Zbl 0838.14020
Anderson, Greg W.
1994
Local factorization of determinants of twisted DR cohomology groups. Zbl 0780.14011
Anderson, Greg W.
1992
A two-variable refinement of the Stark conjecture in the function-field case. Zbl 1127.11044
Anderson, Greg
2006
Digit patterns and the formal additive group. Zbl 1221.11016
Anderson, Greg W.
2007
Another look at the index formulas of cyclotomic number theory. Zbl 0872.11047
Anderson, Greg W.
1996
On primes of degree one in function fields. Zbl 0563.14016
Anderson, Greg W.; Indik, Robert
1985
A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices. Zbl 1360.60013
Anderson, Greg W.
2015
Asymptotically liberating sequences of random unitary matrices. Zbl 1290.60003
Anderson, Greg W.; Farrell, Brendan
2014
Interpolation of numbers of Catalan type in a local field of positive characteristic. Zbl 1133.11041
Anderson, Greg W.
2007
Lacunary Wronskians on genus one curves. Zbl 1078.14042
Anderson, Greg W.
2005
A generalization of Weyl’s identity for $$D_{n}$$. Zbl 1058.05064
Anderson, Greg W.
2004
A note on cyclotomic Euler systems and the double complex method. Zbl 1055.11061
Anderson, Greg W.; Ouyang, Yi
2003
Integral Kašin splittings. Zbl 1057.46012
Anderson, Greg W.
2003
An explicit algebraic representation of the Abel map. Zbl 0893.14006
Anderson, Greg W.
1997
The hyperadelic gamma function: a précis. Zbl 0639.12006
Anderson, Greg W.
1987
A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices. Zbl 1360.60013
Anderson, Greg W.
2015
Asymptotically liberating sequences of random unitary matrices. Zbl 1290.60003
Anderson, Greg W.; Farrell, Brendan
2014
Convergence of the largest singular value of a polynomial in independent Wigner matrices. Zbl 1282.60007
Anderson, Greg W.
2013
An introduction to random matrices. Zbl 1184.15023
Anderson, Greg W.; Guionnet, Alice; Zeitouni, Ofer
2010
Multizeta values for $$\mathbb F_q[t]$$, their period interpretation, and relations between them. Zbl 1183.11052
Anderson, Greg W.; Thakur, Dinesh S.
2009
A law of large numbers for finite-range dependent random matrices. Zbl 1189.60018
Anderson, Greg W.; Zeitouni, Ofer
2008
A CLT for regularized sample covariance matrices. Zbl 1360.60047
Anderson, Greg W.; Zeitouni, Ofer
2008
Digit patterns and the formal additive group. Zbl 1221.11016
Anderson, Greg W.
2007
Interpolation of numbers of Catalan type in a local field of positive characteristic. Zbl 1133.11041
Anderson, Greg W.
2007
A CLT for a band matrix model. Zbl 1084.60014
Anderson, Greg W.; Zeitouni, Ofer
2006
A two-variable refinement of the Stark conjecture in the function-field case. Zbl 1127.11044
Anderson, Greg
2006
A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds. Zbl 1082.53069
Anderson, Greg; Chow, Bennett
2005
Lacunary Wronskians on genus one curves. Zbl 1078.14042
Anderson, Greg W.
2005
Determination of the algebraic relations among special $$\Gamma$$-values in positive characteristic. Zbl 1064.11055
Anderson, Greg W.; Brownawell, W. Dale; Papanikolas, Matthew A.
2004
Simple proofs of classical explicit reciprocity laws on curves using determinant groupoids over an Artinian local ring. Zbl 1077.14033
Anderson, Greg W.; Pablos Romo, Fernando
2004
A generalization of Weyl’s identity for $$D_{n}$$. Zbl 1058.05064
Anderson, Greg W.
2004
A note on cyclotomic Euler systems and the double complex method. Zbl 1055.11061
Anderson, Greg W.; Ouyang, Yi
2003
Integral Kašin splittings. Zbl 1057.46012
Anderson, Greg W.
2003
Kronecker-Weber plus epsilon. Zbl 1056.11060
Anderson, Greg W.
2002
Abeliants and their application to an elementary construction of Jacobians. Zbl 1065.14035
Anderson, Greg W.
2002
An elementary approach to $$L$$-functions $$\text{mod }p$$. Zbl 0977.11036
Anderson, G. W.
2000
A double complex for computing the sign-cohomology of the universal ordinary distribution. Zbl 0939.11035
Anderson, Greg W.
1999
An explicit algebraic representation of the Abel map. Zbl 0893.14006
Anderson, Greg W.
1997
Log-algebraicity of twisted $$A$$-harmonic series and special values of $$L$$-series in characteristic $$p$$. Zbl 0868.11031
Anderson, Greg W.
1996
Another look at the index formulas of cyclotomic number theory. Zbl 0872.11047
Anderson, Greg W.
1996
Rank one elliptic $$A$$-modules and $$A$$-harmonic series. Zbl 0807.11032
Anderson, Greg W.
1994
On representations of the Weil group with bounded conductor. Zbl 0849.11086
Anderson, Greg; Blasius, Don; Coleman, Robert; Zettler, George
1994
Torsion points on Jacobians of quotients of Fermat curves and $$p$$-adic soliton theory. Zbl 0838.14020
Anderson, Greg W.
1994
On Tate modules of formal $$t$$-modules. Zbl 0777.11020
Anderson, Greg W.
1993
A two-dimensional analogue of Stickelberger’s theorem. Zbl 0797.11056
Anderson, G. W.
1992
Local factorization of determinants of twisted DR cohomology groups. Zbl 0780.14011
Anderson, Greg W.
1992
A short proof of Selberg’s generalized beta formula. Zbl 0723.33002
Anderson, Greg W.
1991
Tensor powers of the Carlitz module and zeta values. Zbl 0713.11082
Anderson, Greg W.; Thakur, Dinesh S.
1990
The evaluation of Selberg sums. Zbl 0724.11063
Anderson, Greg W.
1990
Pro-$$\ell$$ branched coverings of $${\mathbb{P}}^ 1$$ and higher circular $$\ell$$-units. II. Zbl 0715.14021
Anderson, Greg W.; Ihara, Yasutaka
1990
The hyperadelic gamma function. Zbl 0682.14011
Anderson, Greg W.
1989
Rationality in conformal field theory. Zbl 0647.17012
Anderson, Greg; Moore, Greg
1988
Pro-$$\ell$$ branched coverings of $$P^ 1$$ and higher circular $$\ell$$- units. Zbl 0692.14018
Anderson, Greg; Ihara, Yasutaka
1988
Torsion points on Fermat Jacobians, roots of circular units and relative singular homology. Zbl 1370.11069
Anderson, Greg W.
1987
The hyperadelic gamma function: a précis. Zbl 0639.12006
Anderson, Greg W.
1987
$$t$$-motives. Zbl 0679.14001
Anderson, Greg W.
1986
Cyclotomy and an extension of the Taniyama group. Zbl 0591.14001
Anderson, Greg W.
1986
On primes of degree one in function fields. Zbl 0563.14016
Anderson, Greg W.; Indik, Robert
1985
Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains. Zbl 0557.32006
Anderson, Greg W.
1983
Logarithmic derivatives of Dirichlet L-functions and the periods of Abelian varieties. Zbl 0501.14025
Anderson, Greg W.
1982
all top 5

#### Cited by 859 Authors

 27 Erdős, László 20 Guionnet, Alice 15 Thakur, Dinesh S. 13 Anderson, Greg W. 13 Zeitouni, Ofer 12 Chang, Chieh-Yu 12 Yau, Horng-Tzer 11 Anglès, Bruno 11 Gorin, Vadim 11 Papanikolas, Matthew A. 10 Forrester, Peter J. 10 Krüger, Torben 9 Borodin, Alexei 9 Hartl, Urs T. 9 Pellarin, Federico 9 Taelman, Lenny 8 Bose, Arup 8 O’Rourke, Sean D. 8 Pablos Romo, Fernando 8 Soshnikov, Alexander B. 8 Speicher, Roland 8 Vu, Van H. 7 Capitaine, Mireille 7 Chafaï, Djalil 7 Renfrew, David 7 Rouault, Alain 7 Schnelli, Kevin 6 Belinschi, Serban Teodor 6 Duits, Maurice 6 Knowles, Antti 6 Lambert, Gaultier 6 Maïda, Mylène 6 Nechita, Ion 6 Pink, Richard 6 Tavares Ribeiro, Floric 6 Yin, Linsheng 5 Ajanki, Oskari Heikki 5 Álvarez Vázquez, Arturo 5 Benaych-Georges, Florent 5 Böckle, Gebhard 5 Bordenave, Charles 5 Bourgade, Paul 5 Breuer, Jonathan 5 Corwin, Ivan 5 Denis, Laurent 5 Dumitriu, Ioana 5 Huang, Yi-Zhi 5 Lee, Ji Oon 5 Mingo, James A. 5 Mishiba, Yoshinori 5 Nagel, Jan 5 Pastur, Leonid Andreevich 5 Serfaty, Sylvia 5 Shkolnikov, Mykhaylo 5 Tao, Terence 5 Virág, Bálint 5 Yu, Jing 4 Akemann, Gernot 4 Bai, Zhi-Dong 4 Banerjee, Debapratim 4 Bloom, Thomas 4 Brownawell, W. Dale 4 Bufetov, Alekseĭ Igor’evich 4 Collins, Benoît 4 Cook, Nicholas A. 4 Donati-Martin, Catherine 4 Gamboa, Fabrice 4 Hazra, Rajat Subhra 4 Hoshi, Yuichiro 4 Huang, Jiaoyang 4 Jung, Paul H. 4 Katori, Makoto 4 Lara Rodríguez, José Alejandro 4 Loeser, François 4 Lytova, Anna 4 Ngo Dac, Tuan 4 Osada, Hirofumi 4 Osipov, Denis Vasil’evich 4 Pan, Guangming 4 Paquette, Elliot 4 Pérez-Abreu Carrión, Víctor M. 4 Rasmussen, Christopher 4 Remenik, Daniel 4 Saha, Koushik 4 Shlyakhtenko, Dimitri L. 4 Tamagawa, Akio 4 Thäle, Christoph 4 Wang, Shaochen 4 Yin, Jun 4 Yin, Yanqing 4 Zhou, Wang 3 Adhikari, Kartick 3 Bae, Sunghan 3 Bandeira, Afonso S. 3 Bao, Zhigang 3 Basak, Anirban 3 Bekerman, Florent 3 Bergeron, Nicolas 3 Blickle, Manuel 3 Bornemann, Folkmar A. ...and 759 more Authors
all top 5

#### Cited in 173 Serials

 65 Journal of Number Theory 40 Probability Theory and Related Fields 39 Random Matrices: Theory and Applications 34 Communications in Mathematical Physics 33 Journal of Statistical Physics 29 The Annals of Probability 24 Journal of Theoretical Probability 23 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 22 Inventiones Mathematicae 21 Journal of Mathematical Physics 20 Advances in Mathematics 16 Duke Mathematical Journal 16 Journal of Functional Analysis 15 Transactions of the American Mathematical Society 15 The Annals of Applied Probability 13 Compositio Mathematica 12 The Annals of Statistics 12 Proceedings of the American Mathematical Society 12 Electronic Journal of Probability 11 Journal für die Reine und Angewandte Mathematik 10 Journal of Algebra 10 Stochastic Processes and their Applications 9 Journal of Multivariate Analysis 8 Mathematische Annalen 8 Statistics & Probability Letters 8 Journal de Théorie des Nombres de Bordeaux 8 Journal of High Energy Physics 7 Mathematische Zeitschrift 7 Linear Algebra and its Applications 7 Annals of Mathematics. Second Series 6 Annales de l’Institut Fourier 6 Manuscripta Mathematica 6 Constructive Approximation 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Communications on Pure and Applied Mathematics 5 Bulletin of the American Mathematical Society. New Series 5 Finite Fields and their Applications 5 Communications in Contemporary Mathematics 5 Annales Henri Poincaré 4 Communications in Algebra 4 Indian Journal of Pure & Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Approximation Theory 4 Proceedings of the Japan Academy. Series A 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Journal of the American Mathematical Society 4 Forum Mathematicum 4 Journal of Algebraic Geometry 4 Bernoulli 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Number Theory 3 Israel Journal of Mathematics 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Osaka Journal of Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Selecta Mathematica. New Series 3 Documenta Mathematica 3 Mathematical Physics, Analysis and Geometry 3 Journal of the European Mathematical Society (JEMS) 3 Science China. Mathematics 3 Research in the Mathematical Sciences 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Theory of Probability and its Applications 2 Acta Mathematica 2 Canadian Journal of Mathematics 2 Collectanea Mathematica 2 Functional Analysis and its Applications 2 Journal of Pure and Applied Algebra 2 Journal of Statistical Planning and Inference 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 SIAM Journal on Computing 2 Tokyo Journal of Mathematics 2 Physica D 2 Journal of Complexity 2 Geometric and Functional Analysis. GAFA 2 Potential Analysis 2 Applied and Computational Harmonic Analysis 2 Electronic Communications in Probability 2 Transformation Groups 2 Extremes 2 Acta Mathematica Sinica. English Series 2 Computational Methods and Function Theory 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Algebra and its Applications 2 Probability Surveys 2 Journal of Spectral Theory 2 Forum of Mathematics, Sigma 1 Discrete Applied Mathematics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Mathematische Semesterberichte 1 Metrika 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Reports ...and 73 more Serials
all top 5

#### Cited in 54 Fields

 417 Probability theory and stochastic processes (60-XX) 269 Linear and multilinear algebra; matrix theory (15-XX) 250 Number theory (11-XX) 121 Algebraic geometry (14-XX) 92 Statistical mechanics, structure of matter (82-XX) 66 Functional analysis (46-XX) 64 Statistics (62-XX) 53 Combinatorics (05-XX) 50 Quantum theory (81-XX) 38 Special functions (33-XX) 20 Commutative algebra (13-XX) 20 Nonassociative rings and algebras (17-XX) 19 Operator theory (47-XX) 18 $$K$$-theory (19-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 16 Partial differential equations (35-XX) 13 Topological groups, Lie groups (22-XX) 12 Functions of a complex variable (30-XX) 12 Differential geometry (53-XX) 11 Numerical analysis (65-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Field theory and polynomials (12-XX) 8 Group theory and generalizations (20-XX) 8 Potential theory (31-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Associative rings and algebras (16-XX) 7 Category theory; homological algebra (18-XX) 7 Convex and discrete geometry (52-XX) 6 Manifolds and cell complexes (57-XX) 6 Relativity and gravitational theory (83-XX) 5 Ordinary differential equations (34-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic topology (55-XX) 5 Information and communication theory, circuits (94-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)