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Arthur, James Greig

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Author ID: arthur.james-g Recent zbMATH articles by "Arthur, James Greig"
Published as: Arthur, James; Arthur, James G.
External Links: MGP · Wikidata · GND · IdRef
Awards: Wolf Prize (2015)
Documents Indexed: 81 Publications since 1974, including 2 Books
5 Contributions as Editor · 1 Further Contribution
Biographic References: 3 Publications
Co-Authors: 21 Co-Authors with 8 Joint Publications
467 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 1,430 times in 731 Documents Cited by Year
Simple algebras, base change, and the advanced theory of the trace formula. Zbl 0682.10022
Arthur, James; Clozel, Laurent
188
1989
The endoscopic classification of representations. Orthogonal and symplectic groups. Zbl 1310.22014
Arthur, James
156
2013
A trace formula for reductive groups. I: Terms associated to classes in G(Q). Zbl 0499.10032
Arthur, James G.
75
1978
An introduction to the trace formula. Zbl 1152.11021
Arthur, James
67
2005
The trace formula in invariant form. Zbl 0495.22006
Arthur, James
60
1981
Unipotent automorphic representations: Conjectures. Zbl 0728.22014
Arthur, James
54
1989
On elliptic tempered characters. Zbl 0822.22011
Arthur, James
48
1993
The invariant trace formula. II: Global theory. Zbl 0667.10019
Arthur, James
46
1988
Intertwining operators and residues. I: Weighted characters. Zbl 0679.22011
Arthur, James
41
1989
The local behaviour of weighted orbital integrals. Zbl 0649.10020
Arthur, James
39
1988
A trace formula for reductive groups. II: Applications of a truncation operator. Zbl 0499.10033
Arthur, James G.
39
1980
The invariant trace formula. I: Local theory. Zbl 0682.10021
Arthur, James
36
1988
The \(L^ 2\)-Lefschetz numbers of Hecke operators. Zbl 0692.22004
Arthur, James
35
1989
A Paley-Wiener theorem for real reductive groups. Zbl 0514.22006
Arthur, James
33
1983
The characters of discrete series as orbital integrals. Zbl 0359.22008
Arthur, James
29
1976
The endoscopic classification of representations. Zbl 1297.22023
Arthur, James
29
2013
On a family of distributions obtained from Eisenstein series. II: Explicit formulas. Zbl 0562.22004
Arthur, James
28
1982
On local character relations. Zbl 0923.11081
Arthur, James
27
1996
A note on \(L\)-packets. Zbl 1158.22017
Arthur, James
26
2006
A measure on the unipotent variety. Zbl 0589.22016
Arthur, James
25
1985
On a family of distributions obtained from orbits. Zbl 0593.22015
Arthur, James
24
1986
A stable trace formula. I: General expansions. Zbl 1040.11038
Arthur, James
24
2002
A local trace formula. Zbl 0741.22013
Arthur, James
22
1991
Eisenstein series and the trace formula. Zbl 0431.22016
Arthur, James
21
1979
Automorphic representations of \(\text{GSp}(4)\). Zbl 1080.11037
Arthur, James
19
2004
On a family of distributions obtained from Eisenstein series. I: Application of the Paley-Wiener theorem. Zbl 0541.22010
Arthur, James
17
1982
On the transfer of distributions: Weighted orbital integrals. Zbl 0938.22019
Arthur, James
16
1999
A stable trace formula. III: Proof of the main theorems. Zbl 1051.11027
Arthur, James
16
2003
On the inner product of truncated Eisenstein series. Zbl 0518.22012
Arthur, James
16
1982
The Selberg trace formula for groups of F-rank one. Zbl 0257.20033
Arthur, James
15
1974
On the Fourier transforms of weighted orbital integrals. Zbl 0795.43006
Arthur, James
15
1994
A note on the automorphic Langlands group. Zbl 1031.11066
Arthur, James
14
2002
On some problems suggested by the trace formula. Zbl 0541.22011
Arthur, James
13
1984
A stable trace formula. II: Global descent. Zbl 0978.11025
Arthur, James
11
2001
The characters of supercuspidal representations as weighted orbital integrals. Zbl 0652.22009
Arthur, James
11
1987
Unipotent automorphic representations: Global motivation. Zbl 0692.10027
Arthur, James
9
1990
The principle of functoriality. Zbl 1158.11346
Arthur, James
8
2003
Some tempered distributions on semi-simple groups of real rank one. Zbl 0258.22014
Arthur, James
8
1974
The trace Paley Wiener theorem for Schwartz functions. Zbl 0854.22011
Arthur, James
7
1994
Intertwining operators and residues. II: Invariant distributions. Zbl 0936.22012
Arthur, James
6
1989
Canonical normalization of weighted characters and a transfer conjecture. Zbl 0906.11021
Arthur, James
6
1998
A theorem on the Schwartz space of a reductive Lie group. Zbl 0311.43010
Arthur, James
6
1975
Harmonic analysis of tempered distributions on semisimple Lie groups of real rank one. Zbl 0762.22007
Arthur, James G.
6
1989
Problems for real groups. Zbl 1159.22003
Arthur, James
4
2008
Problems beyond endoscopy. Zbl 1433.11059
Arthur, James
4
2017
Stabilization of a family of differential equations. Zbl 0961.22012
Arthur, James
3
2000
Report on the trace formula. Zbl 1245.11067
Arthur, James
2
2009
Automorphic representations and number theory. Zbl 0549.12005
Arthur, James
2
1981
An asymptotic formula for real groups. Zbl 1117.22005
Arthur, James
2
2006
Parabolic transfer for real groups. Zbl 1131.22004
Arthur, James
2
2008
\(L^2\)-cohomology and automorphic representations. Zbl 1205.22010
Arthur, James
2
1996
Lectures on automorphic \(L\)-functions. Zbl 0724.11030
Arthur, James; Gelbart, Stephen
2
1991
Endoscopic \(L\)-functions and a combinatorial identity. Zbl 0949.22016
Arthur, James
2
1999
Functoriality and the trace formula. Zbl 1457.11066
Arthur, James
1
2018
Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Zbl 1083.11002
1
2005
Representation theory of real reductive Lie groups. AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 4–8, 2006. Zbl 1148.22001
1
2008
The embedded eigenvalue problem for classical groups. Zbl 1223.22017
Arthur, James
1
2011
Harmonic analysis and group representations. Zbl 0980.22012
Arthur, James
1
2000
Stability and endoscopy: Informal motivation. Zbl 0896.11045
Arthur, James
1
1997
The problem of classifying automorphic representations of classical groups. Zbl 0901.11013
Arthur, James
1
1997
Harmonic analysis of invariant distributions. Zbl 0426.43014
Arthur, James
1
1978
The work of Ngô Bao Châu. Zbl 1251.11037
Arthur, James
1
2011
The trace formula and Hecke operators. Zbl 0671.10026
Arthur, James
1
1989
Some problems in local harmonic analysis. Zbl 0761.22013
Arthur, James
1
1991
Towards a local trace formula. Zbl 0765.22010
Arthur, James
1
1989
Classifying automorphic representations. Zbl 1318.11069
Arthur, James
1
2013
A stratification related to characteristic polynomials. Zbl 1473.11109
Arthur, James
1
2018
Functoriality and the trace formula. Zbl 1457.11066
Arthur, James
1
2018
A stratification related to characteristic polynomials. Zbl 1473.11109
Arthur, James
1
2018
Problems beyond endoscopy. Zbl 1433.11059
Arthur, James
4
2017
The endoscopic classification of representations. Orthogonal and symplectic groups. Zbl 1310.22014
Arthur, James
156
2013
The endoscopic classification of representations. Zbl 1297.22023
Arthur, James
29
2013
Classifying automorphic representations. Zbl 1318.11069
Arthur, James
1
2013
The embedded eigenvalue problem for classical groups. Zbl 1223.22017
Arthur, James
1
2011
The work of Ngô Bao Châu. Zbl 1251.11037
Arthur, James
1
2011
Report on the trace formula. Zbl 1245.11067
Arthur, James
2
2009
Problems for real groups. Zbl 1159.22003
Arthur, James
4
2008
Parabolic transfer for real groups. Zbl 1131.22004
Arthur, James
2
2008
Representation theory of real reductive Lie groups. AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 4–8, 2006. Zbl 1148.22001
1
2008
A note on \(L\)-packets. Zbl 1158.22017
Arthur, James
26
2006
An asymptotic formula for real groups. Zbl 1117.22005
Arthur, James
2
2006
An introduction to the trace formula. Zbl 1152.11021
Arthur, James
67
2005
Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Zbl 1083.11002
1
2005
Automorphic representations of \(\text{GSp}(4)\). Zbl 1080.11037
Arthur, James
19
2004
A stable trace formula. III: Proof of the main theorems. Zbl 1051.11027
Arthur, James
16
2003
The principle of functoriality. Zbl 1158.11346
Arthur, James
8
2003
A stable trace formula. I: General expansions. Zbl 1040.11038
Arthur, James
24
2002
A note on the automorphic Langlands group. Zbl 1031.11066
Arthur, James
14
2002
A stable trace formula. II: Global descent. Zbl 0978.11025
Arthur, James
11
2001
Stabilization of a family of differential equations. Zbl 0961.22012
Arthur, James
3
2000
Harmonic analysis and group representations. Zbl 0980.22012
Arthur, James
1
2000
On the transfer of distributions: Weighted orbital integrals. Zbl 0938.22019
Arthur, James
16
1999
Endoscopic \(L\)-functions and a combinatorial identity. Zbl 0949.22016
Arthur, James
2
1999
Canonical normalization of weighted characters and a transfer conjecture. Zbl 0906.11021
Arthur, James
6
1998
Stability and endoscopy: Informal motivation. Zbl 0896.11045
Arthur, James
1
1997
The problem of classifying automorphic representations of classical groups. Zbl 0901.11013
Arthur, James
1
1997
On local character relations. Zbl 0923.11081
Arthur, James
27
1996
\(L^2\)-cohomology and automorphic representations. Zbl 1205.22010
Arthur, James
2
1996
On the Fourier transforms of weighted orbital integrals. Zbl 0795.43006
Arthur, James
15
1994
The trace Paley Wiener theorem for Schwartz functions. Zbl 0854.22011
Arthur, James
7
1994
On elliptic tempered characters. Zbl 0822.22011
Arthur, James
48
1993
A local trace formula. Zbl 0741.22013
Arthur, James
22
1991
Lectures on automorphic \(L\)-functions. Zbl 0724.11030
Arthur, James; Gelbart, Stephen
2
1991
Some problems in local harmonic analysis. Zbl 0761.22013
Arthur, James
1
1991
Unipotent automorphic representations: Global motivation. Zbl 0692.10027
Arthur, James
9
1990
Simple algebras, base change, and the advanced theory of the trace formula. Zbl 0682.10022
Arthur, James; Clozel, Laurent
188
1989
Unipotent automorphic representations: Conjectures. Zbl 0728.22014
Arthur, James
54
1989
Intertwining operators and residues. I: Weighted characters. Zbl 0679.22011
Arthur, James
41
1989
The \(L^ 2\)-Lefschetz numbers of Hecke operators. Zbl 0692.22004
Arthur, James
35
1989
Intertwining operators and residues. II: Invariant distributions. Zbl 0936.22012
Arthur, James
6
1989
Harmonic analysis of tempered distributions on semisimple Lie groups of real rank one. Zbl 0762.22007
Arthur, James G.
6
1989
The trace formula and Hecke operators. Zbl 0671.10026
Arthur, James
1
1989
Towards a local trace formula. Zbl 0765.22010
Arthur, James
1
1989
The invariant trace formula. II: Global theory. Zbl 0667.10019
Arthur, James
46
1988
The local behaviour of weighted orbital integrals. Zbl 0649.10020
Arthur, James
39
1988
The invariant trace formula. I: Local theory. Zbl 0682.10021
Arthur, James
36
1988
The characters of supercuspidal representations as weighted orbital integrals. Zbl 0652.22009
Arthur, James
11
1987
On a family of distributions obtained from orbits. Zbl 0593.22015
Arthur, James
24
1986
A measure on the unipotent variety. Zbl 0589.22016
Arthur, James
25
1985
On some problems suggested by the trace formula. Zbl 0541.22011
Arthur, James
13
1984
A Paley-Wiener theorem for real reductive groups. Zbl 0514.22006
Arthur, James
33
1983
On a family of distributions obtained from Eisenstein series. II: Explicit formulas. Zbl 0562.22004
Arthur, James
28
1982
On a family of distributions obtained from Eisenstein series. I: Application of the Paley-Wiener theorem. Zbl 0541.22010
Arthur, James
17
1982
On the inner product of truncated Eisenstein series. Zbl 0518.22012
Arthur, James
16
1982
The trace formula in invariant form. Zbl 0495.22006
Arthur, James
60
1981
Automorphic representations and number theory. Zbl 0549.12005
Arthur, James
2
1981
A trace formula for reductive groups. II: Applications of a truncation operator. Zbl 0499.10033
Arthur, James G.
39
1980
Eisenstein series and the trace formula. Zbl 0431.22016
Arthur, James
21
1979
A trace formula for reductive groups. I: Terms associated to classes in G(Q). Zbl 0499.10032
Arthur, James G.
75
1978
Harmonic analysis of invariant distributions. Zbl 0426.43014
Arthur, James
1
1978
The characters of discrete series as orbital integrals. Zbl 0359.22008
Arthur, James
29
1976
A theorem on the Schwartz space of a reductive Lie group. Zbl 0311.43010
Arthur, James
6
1975
The Selberg trace formula for groups of F-rank one. Zbl 0257.20033
Arthur, James
15
1974
Some tempered distributions on semi-simple groups of real rank one. Zbl 0258.22014
Arthur, James
8
1974
all top 5

Cited by 469 Authors

20 Arthur, James Greig
19 Clozel, Laurent
19 Lapid, Erez Moshe
17 Jiang, Dihua
17 Moeglin, Colette
15 Henniart, Guy M.
13 Flicker, Yuval Z.
12 Finis, Tobias
12 Waldspurger, Jean-Loup
11 Delorme, Patrick
11 Shin, Sug Woo
10 Bushnell, Colin John
10 Kim, Henry H.
10 Shahidi, Freydoon
9 Aubert, Anne-Marie
9 Chaudouard, Pierre-Henri
9 Gan, Wee Teck
9 Ichino, Atsushi
8 Atobe, Hiraku
8 Gee, Toby
8 Hanzer, Marcela
8 Jacquet, Hervé Michel
8 Matić, Ivan
8 Renard, David A.
8 Solleveld, Maarten
8 Yamana, Shunsuke
8 Ye, Yangbo
7 Barbasch, Dan M.
7 Bergeron, Nicolas
7 Choiy, Kwangho
7 Fel’shtyn, Alexander
7 Ginzburg, David
7 Hoffmann, Werner
7 Li, Wen-Wei
7 Matz, Jasmin
7 Muić, Goran
7 Plymen, Roger J.
7 Rallis, Stephen James
7 Schlichtkrull, Henrik
7 Zydor, Michał
6 Ban, Dubravka
6 Calegari, Frank
6 Chenevier, Gaëtan
6 Ciubotaru, Dan
6 Geraghty, David
6 Goldberg, David
6 Harris, Michael Howard
6 Jantzen, Chris
6 Liu, Baiying
6 Taylor, Richard Lawrence
6 Templier, Nicolas
6 Van den Ban, Erik Peter
6 Wakatsuki, Satoshi
5 Beuzart-Plessis, Raphaël
5 Grbac, Neven
5 Kottwitz, Robert Edward
5 Laumon, Gérard
5 Mezo, Paul
5 Morimoto, Kazuki
5 Müller, Werner
5 Sarnak, Peter Clive
5 Scholze, Peter
5 Soudry, David
5 Yamauchi, Takuya
4 Barnet-Lamb, Thomas
4 Baum, Paul Frank
4 Furusawa, Masaaki
4 Gelbart, Stephen S.
4 Gillespie, Timothy L.
4 Gross, Benedict Hyman
4 Heiermann, Volker
4 Herb, Rebecca A.
4 Hiraga, Kaoru
4 Labesse, Jean-Pierre
4 Lemaire, Bertrand
4 MacPherson, Robert Duncan
4 Mao, Zhengyu
4 Offen, Omer
4 Pilloni, Vincent
4 Ramakrishnan, Dinakar
4 Thorne, Jack A.
4 Troitskiĭ, Evgeniĭ Vadimovich
4 Virdol, Cristian
4 Wan, Chen
4 Warner, Garth
4 Xu, Bin
4 Zhang, Lei
3 Asgari, Mahdi
3 Badulescu, Alexandru Ioan
3 Bakić, Petar
3 Bettaïeb, Karem
3 Brumley, Farrell
3 Caraiani, Ana
3 Cunningham, Clifton L. R.
3 Deitmar, Anton
3 Dieulefait, Luis Victor
3 Dummigan, Neil
3 Frenkel, Edward V.
3 Goresky, Robert Mark
3 Hahn, Heekyoung
...and 369 more Authors
all top 5

Cited in 113 Serials

50 Duke Mathematical Journal
38 Compositio Mathematica
35 Journal of Number Theory
34 Inventiones Mathematicae
30 Israel Journal of Mathematics
29 Transactions of the American Mathematical Society
26 Mathematische Annalen
24 Manuscripta Mathematica
21 Journal of the American Mathematical Society
21 Journal of the Institute of Mathematics of Jussieu
20 Mathematische Zeitschrift
18 Proceedings of the American Mathematical Society
18 Representation Theory
17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
15 Advances in Mathematics
15 Journal of Functional Analysis
15 Journal für die Reine und Angewandte Mathematik
15 Annals of Mathematics. Second Series
13 Memoirs of the American Mathematical Society
13 Bulletin of the American Mathematical Society. New Series
12 Annales de l’Institut Fourier
12 Publications Mathématiques
10 Forum Mathematicum
8 Journal of Algebra
8 Selecta Mathematica. New Series
8 Documenta Mathematica
8 Journal of the European Mathematical Society (JEMS)
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Acta Mathematica
7 International Journal of Number Theory
7 Science China. Mathematics
5 Nagoya Mathematical Journal
4 Journal d’Analyse Mathématique
4 Acta Mathematica Vietnamica
4 Journal of the Ramanujan Mathematical Society
4 Geometric and Functional Analysis. GAFA
4 Journal de Théorie des Nombres de Bordeaux
4 Japanese Journal of Mathematics. 3rd Series
3 Bulletin de la Société Mathématique de France
3 Journal of Soviet Mathematics
3 Pacific Journal of Mathematics
3 Proceedings of the Japan Academy. Series A
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 The Ramanujan Journal
3 Acta Mathematica Sinica. English Series
3 Annales Mathématiques du Québec
3 Research in the Mathematical Sciences
3 Journal de l’École Polytechnique – Mathématiques
2 Journal of Mathematical Analysis and Applications
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Arithmetica
2 Geometriae Dedicata
2 Mathematische Nachrichten
2 Michigan Mathematical Journal
2 Monatshefte für Mathematik
2 Tohoku Mathematical Journal. Second Series
2 Annals of Global Analysis and Geometry
2 Science in China. Series A
2 Proceedings of the National Academy of Sciences of the United States of America
2 Experimental Mathematics
2 The Journal of Fourier Analysis and Applications
2 Groups, Geometry, and Dynamics
2 Kyoto Journal of Mathematics
2 Forum of Mathematics, Sigma
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Letters in Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Canadian Journal of Mathematics
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Osaka Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Topology and its Applications
1 Chinese Annals of Mathematics. Series B
1 International Journal of Algebra and Computation
1 Glasnik Matematički. Serija III
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Indagationes Mathematicae. New Series
1 Russian Journal of Mathematical Physics
1 St. Petersburg Mathematical Journal
1 Journal of Lie Theory
1 Transformation Groups
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
...and 13 more Serials

Citations by Year

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