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## Gelbart, Stephen S.

Compute Distance To:
 Author ID: gelbart.stephen-s Published as: Gelbart, Stephen; Gelbart, Stephen S.; Gelbart, S.; Gelbart, Steve; Gelbart, S. S. Homepage: http://www.wisdom.weizmann.ac.il/~gelbar/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 61 Publications since 1970, including 12 Books Reviewing Activity: 68 Reviews Biographic References: 3 Publications
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#### Co-Authors

 26 single-authored 8 Piatetski-Shapiro, Ilya 7 Rogawski, Jonathan D. 5 Jacquet, Hervé Michel 4 Sarnak, Peter Clive 4 Shahidi, Freydoon 4 Soudry, David 3 Howe, Roger Evans 3 Miller, Stephen D. 2 Arthur, James Greig 2 Cogdell, James W. 2 Knapp, Anthony William 2 Lapid, Erez Moshe 1 Bernstein, Joseph 1 Friedberg, Solomon 1 Greenberg, Ralph 1 Panchishkin, Alexei A. 1 Rallis, Stephen James 1 Ramakrishnan, Dinakar 1 Sally, Paul J. jun. 1 Yu, Jiu-Kang
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#### Serials

 4 Israel Journal of Mathematics 4 Proceedings of the National Academy of Sciences of the United States of America 3 Inventiones Mathematicae 3 Israel Mathematical Conference Proceedings 2 Advances in Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Lecture Notes in Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the American Mathematical Society 1 Annals of Mathematics Studies 1 University Lecture Series 1 Clay Mathematics Proceedings
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#### Fields

 50 Number theory (11-XX) 39 Topological groups, Lie groups (22-XX) 5 Abstract harmonic analysis (43-XX) 4 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 1 Field theory and polynomials (12-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 938 times in 743 Documents Cited by Year
A relation between automorphic representations of $$\text{GL}(2)$$ and $$\text{GL}(3)$$. Zbl 0406.10022
Gelbart, Stephen; Jacquet, Hervé
1978
Automorphic forms on adele groups. Zbl 0329.10018
Gelbart, Stephen S.
1975
Explicit constructions of automorphic $$L$$-functions. Zbl 0612.10022
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1987
Weil’s representation and the spectrum of the metaplectic group. Zbl 0365.22017
Gelbart, Stephen S.
1976
L-indistinguishability and R groups for the special linear group. Zbl 0493.22005
Gelbart, S. S.; Knapp, A. W.
1982
Distinguished representations and modular forms of half-integral weight. Zbl 0426.10027
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1980
Analytic properties of automorphic L-functions. Zbl 0654.10028
Gelbart, Stephen; Shahidi, Freydoon
1988
Boundedness of automorphic $$L$$-functions in vertical strips. Zbl 1050.11053
Gelbart, Stephen; Shahidi, Freydoon
2001
Forms of GL(2) from the analytic point of view. Zbl 0409.22013
Gelbart, Stephen; Jacquet, Herve
1979
An elementary introduction to the Langlands program. Zbl 0539.12008
Gelbart, Stephen
1984
On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1981
Holomorphic discrete series for the real symplectic group. Zbl 0236.22013
Gelbart, Stephen
1973
Endoscopy, theta-liftings, and period integrals for the unitary group in three variables. Zbl 1068.11502
Gelbart, Stephen; Rogawski, Jonathan; Soudry, David
1997
$$L$$-functions and Fourier-Jacobi coefficients for the unitary group $$U(3)$$. Zbl 0742.11030
Gelbart, Stephen S.; Rogawski, Jonathan D.
1991
Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015
Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I.
1979
Riemann’s zeta function and beyond. Zbl 1046.11001
Gelbart, Stephen S.; Miller, Stephen D.
2004
A relation between automorphic forms on GL(2) and GL(3). Zbl 0373.22008
Gelbart, Stephen; Jacquet, Herve
1976
Automorphic forms and L-functions for the unitary group. Zbl 0531.10034
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1984
A theory of Stiefel harmonics. Zbl 0292.22016
Gelbart, Stephen S.
1974
Lower bounds for $$L$$-functions at the edge of the critical strip. Zbl 1142.11034
Gelbart, Stephen S.; Lapid, Erez M.
2006
Generic representations for the unitary group in three variables. Zbl 1007.22022
Gelbart, Stephen; Jacquet, Hervé; Rogawski, Jonathan
2001
Lectures on the Arthur-Selberg trace formula. Zbl 0876.11022
Gelbart, Stephen
1996
Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1983
On periods of cusp forms and algebraic cycles for $$U(3)$$. Zbl 0789.11033
Gelbart, S.; Rogawski, J.; Soudry, D.
1993
A new method for lower bounds of $$L$$-functions. Zbl 1101.11034
Gelbart, Stephen S.; Lapid, Erez M.; Sarnak, Peter
2004
Automorphic forms and Artin’s conjecture. Zbl 0368.10023
Gelbart, Stephen
1977
Irreducible constituents of principal series of $$SL_ n($$k). Zbl 0473.22010
Gelbart, S. S.; Knapp, A. W.
1981
Fourier analysis on matrix space. Zbl 0227.43016
Gelbart, Stephen S.
1971
Automorphic forms and representations of adele groups. Zbl 0337.22001
Gelbart, Stephen
1975
Elliptic curves and automorphic representations. Zbl 0336.14003
Gelbart, Stephen
1976
Examples of dual reductive pairs. Zbl 0425.22024
Gelbart, Stephen
1979
Intertwining operators and automorphic forms for the metaplectic group. Zbl 0303.22010
Gelbart, Stephen; Sally, Paul
1975
Harmonics on Stiefel manifolds and generalized Hankel transforms. Zbl 0235.43012
Gelbart, Stephen S.
1972
Three lectures on the modularity of $$\overline\rho_{E,3}$$ and the Langlands reciprocity conjecture. Zbl 0902.11016
Gelbart, Stephen
1997
Periods of cusp forms and $$L$$-packets. Zbl 0807.11028
Gelbart, Stephen; Rogawski, Jonathan; Soudry, David
1993
Automorphic L-functions of half-integral weight. Zbl 0379.10017
Gelbart, Stephen S.; Piatetski-Shapiro, Ilya I.
1978
On Whittaker models and the vanishing of Fourier coefficients of cusp forms. Zbl 0657.10029
Gelbart, Stephen; Soudry, David
1987
An introduction to the Langlands program. Lectures presented at the Hebrew University of Jerusalem, Jerusalem, Israel, March 12–16, 2001. Zbl 1112.11028
Bernstein, Joseph (ed.); Gelbart, Stephen (ed.)
2003
Lectures on automorphic L-functions. Zbl 0724.11030
Arthur, James; Gelbart, Stephen
1991
Exceptional representations and Shimura’s integral for the local unitary group U(3). Zbl 0732.22014
Gelbart, Stephen S.; Rogawski, Jonathan D.
1990
On theta-series liftings for unitary groups. Zbl 0805.11038
Gelbart, Stephen
1993
Generic representations of the unitary group in three variables. (Représentations génériques du groupe unitaire à trois variables.) Zbl 0944.22006
Friedberg, Solomon; Gelbart, Stephen; Jacquet, Hervé; Rogawski, Jonathan
1999
Fourier analysis on $$\text{GL}(n, \mathbb R)$$. Zbl 0201.17701
Gelbart, S. S.
1970
Lower bounds for $$L$$-functions at the edge of the critical strip. Zbl 1142.11034
Gelbart, Stephen S.; Lapid, Erez M.
2006
Riemann’s zeta function and beyond. Zbl 1046.11001
Gelbart, Stephen S.; Miller, Stephen D.
2004
A new method for lower bounds of $$L$$-functions. Zbl 1101.11034
Gelbart, Stephen S.; Lapid, Erez M.; Sarnak, Peter
2004
An introduction to the Langlands program. Lectures presented at the Hebrew University of Jerusalem, Jerusalem, Israel, March 12–16, 2001. Zbl 1112.11028
Bernstein, Joseph; Gelbart, Stephen
2003
Boundedness of automorphic $$L$$-functions in vertical strips. Zbl 1050.11053
Gelbart, Stephen; Shahidi, Freydoon
2001
Generic representations for the unitary group in three variables. Zbl 1007.22022
Gelbart, Stephen; Jacquet, Hervé; Rogawski, Jonathan
2001
Generic representations of the unitary group in three variables. (Représentations génériques du groupe unitaire à trois variables.) Zbl 0944.22006
Friedberg, Solomon; Gelbart, Stephen; Jacquet, Hervé; Rogawski, Jonathan
1999
Endoscopy, theta-liftings, and period integrals for the unitary group in three variables. Zbl 1068.11502
Gelbart, Stephen; Rogawski, Jonathan; Soudry, David
1997
Three lectures on the modularity of $$\overline\rho_{E,3}$$ and the Langlands reciprocity conjecture. Zbl 0902.11016
Gelbart, Stephen
1997
Lectures on the Arthur-Selberg trace formula. Zbl 0876.11022
Gelbart, Stephen
1996
On periods of cusp forms and algebraic cycles for $$U(3)$$. Zbl 0789.11033
Gelbart, S.; Rogawski, J.; Soudry, D.
1993
Periods of cusp forms and $$L$$-packets. Zbl 0807.11028
Gelbart, Stephen; Rogawski, Jonathan; Soudry, David
1993
On theta-series liftings for unitary groups. Zbl 0805.11038
Gelbart, Stephen
1993
$$L$$-functions and Fourier-Jacobi coefficients for the unitary group $$U(3)$$. Zbl 0742.11030
Gelbart, Stephen S.; Rogawski, Jonathan D.
1991
Lectures on automorphic L-functions. Zbl 0724.11030
Arthur, James; Gelbart, Stephen
1991
Exceptional representations and Shimura’s integral for the local unitary group U(3). Zbl 0732.22014
Gelbart, Stephen S.; Rogawski, Jonathan D.
1990
Analytic properties of automorphic L-functions. Zbl 0654.10028
Gelbart, Stephen; Shahidi, Freydoon
1988
Explicit constructions of automorphic $$L$$-functions. Zbl 0612.10022
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1987
On Whittaker models and the vanishing of Fourier coefficients of cusp forms. Zbl 0657.10029
Gelbart, Stephen; Soudry, David
1987
An elementary introduction to the Langlands program. Zbl 0539.12008
Gelbart, Stephen
1984
Automorphic forms and L-functions for the unitary group. Zbl 0531.10034
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1984
Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger. Zbl 0526.10026
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1983
L-indistinguishability and R groups for the special linear group. Zbl 0493.22005
Gelbart, S. S.; Knapp, A. W.
1982
On Shimura’s correspondence for modular forms of half-integral weight. Zbl 0495.10020
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1981
Irreducible constituents of principal series of $$SL_ n($$k). Zbl 0473.22010
Gelbart, S. S.; Knapp, A. W.
1981
Distinguished representations and modular forms of half-integral weight. Zbl 0426.10027
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.
1980
Forms of GL(2) from the analytic point of view. Zbl 0409.22013
Gelbart, Stephen; Jacquet, Herve
1979
Uniqueness and existence of Whittaker models for the metaplectic group. Zbl 0441.22015
Gelbart, Stephen; Howe, Roger; Piatetski-Shapiro, Ilya I.
1979
Examples of dual reductive pairs. Zbl 0425.22024
Gelbart, Stephen
1979
A relation between automorphic representations of $$\text{GL}(2)$$ and $$\text{GL}(3)$$. Zbl 0406.10022
Gelbart, Stephen; Jacquet, Hervé
1978
Automorphic L-functions of half-integral weight. Zbl 0379.10017
Gelbart, Stephen S.; Piatetski-Shapiro, Ilya I.
1978
Automorphic forms and Artin’s conjecture. Zbl 0368.10023
Gelbart, Stephen
1977
Weil’s representation and the spectrum of the metaplectic group. Zbl 0365.22017
Gelbart, Stephen S.
1976
A relation between automorphic forms on GL(2) and GL(3). Zbl 0373.22008
Gelbart, Stephen; Jacquet, Herve
1976
Elliptic curves and automorphic representations. Zbl 0336.14003
Gelbart, Stephen
1976
Automorphic forms on adele groups. Zbl 0329.10018
Gelbart, Stephen S.
1975
Automorphic forms and representations of adele groups. Zbl 0337.22001
Gelbart, Stephen
1975
Intertwining operators and automorphic forms for the metaplectic group. Zbl 0303.22010
Gelbart, Stephen; Sally, Paul
1975
A theory of Stiefel harmonics. Zbl 0292.22016
Gelbart, Stephen S.
1974
Holomorphic discrete series for the real symplectic group. Zbl 0236.22013
Gelbart, Stephen
1973
Harmonics on Stiefel manifolds and generalized Hankel transforms. Zbl 0235.43012
Gelbart, Stephen S.
1972
Fourier analysis on matrix space. Zbl 0227.43016
Gelbart, Stephen S.
1971
Fourier analysis on $$\text{GL}(n, \mathbb R)$$. Zbl 0201.17701
Gelbart, S. S.
1970
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#### Cited by 587 Authors

 16 Gelbart, Stephen S. 12 Ginzburg, David 12 Shahidi, Freydoon 11 Lu, Guangshi 10 Piatetski-Shapiro, Ilya 9 Jiang, Dihua 9 Li, Jian-Shu 8 Hida, Haruzo 8 Kudla, Stephen S. 8 Rallis, Stephen James 8 Sarnak, Peter Clive 8 Soudry, David 7 Ash, Avner 7 Baruch, Ehud Moshe 7 Howe, Roger Evans 7 Lao, Huixue 7 Nelson, Paul D. 7 Pitale, Ameya 7 Schmidt, Ralf 7 Smajlović, Lejla 6 Blomer, Valentin 6 Hanzer, Marcela 6 Hundley, Joseph 6 Kaplan, Eyal 6 Lapid, Erez Moshe 6 Rogawski, Jonathan D. 6 Saha, Abhishek 6 Virdol, Cristian 6 Wu, Jie 5 Aubert, Anne-Marie 5 Bouganis, Thanasis 5 Bump, Daniel 5 Choiy, Kwangho 5 Fomenko, Oleg Mstislavovich 5 Gan, Wee Teck 5 Harris, Michael Howard 5 Jacquet, Hervé Michel 5 Lanphier, Dominic 5 Muić, Goran 5 Odžak, Almasa 5 Plymen, Roger J. 5 Prasad, Dipendra 5 Schwermer, Joachim 5 Solleveld, Maarten 5 Watanabe, Takao 5 Young, Matthew P. 4 Asgari, Mahdi 4 Berndt, Rolf 4 Brumley, Farrell 4 Flicker, Yuval Z. 4 Goldberg, David 4 Hoffstein, Jeffrey 4 Hsieh, Ming-Lun 4 Kim, Henry H. 4 Lau, Yuk-Kam 4 Marshall, Simon 4 Murase, Atsushi 4 Sally, Paul J. jun. 4 Schmidt, Claus-Günther 4 Szpruch, Dani 4 Tadić, Marko 4 Thorner, Jesse 4 Ye, Yangbo 3 Balasubramanian, Kumar 3 Ban, Dubravka 3 Baum, Paul Frank 3 Böcherer, Siegfried 3 Chenevier, Gaëtan 3 Clozel, Laurent 3 Friedberg, Solomon 3 Gross, Benedict Hyman 3 Henniart, Guy M. 3 Hurt, Norman E. 3 Kim, Dae San 3 Klosin, Krzysztof 3 Knapp, Anthony William 3 Labesse, Jean-Pierre 3 Li, Charles C. C. 3 Liu, Jianya 3 Luo, Wenzhi 3 Mao, Zhengyu 3 Martin, Kimball 3 Masri, Riad 3 Mazur, Barry 3 Michel, Philippe Gabriel 3 Millson, John J. 3 Narita, Hiro-aki 3 Okazaki, Takeo 3 Papikian, Mihran 3 Pizer, Arnold K. 3 Purkait, Soma 3 Qu, Yan 3 Rabau, Patrick 3 Repka, Joe 3 Ribet, Kenneth Alan 3 Roberts, Brooks 3 Rosso, Giovanni 3 Rowe, David J. 3 Rubin, Boris 3 Sankaranarayanan, Ayyadurai ...and 487 more Authors
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#### Cited in 124 Serials

 69 Journal of Number Theory 47 Inventiones Mathematicae 44 Israel Journal of Mathematics 43 Duke Mathematical Journal 41 Transactions of the American Mathematical Society 36 Compositio Mathematica 26 Mathematische Annalen 20 Manuscripta Mathematica 19 Mathematische Zeitschrift 17 Bulletin of the American Mathematical Society. New Series 16 International Journal of Number Theory 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 14 The Ramanujan Journal 13 Journal of Algebra 13 Proceedings of the American Mathematical Society 13 Journal of the American Mathematical Society 12 Annales de l’Institut Fourier 11 Memoirs of the American Mathematical Society 11 Forum Mathematicum 8 Geometric and Functional Analysis. GAFA 7 Acta Arithmetica 7 Archiv der Mathematik 7 Pacific Journal of Mathematics 6 Advances in Mathematics 6 Publications Mathématiques 6 Tohoku Mathematical Journal. Second Series 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Documenta Mathematica 6 Representation Theory 6 Science China. Mathematics 5 Journal of Functional Analysis 5 Journal für die Reine und Angewandte Mathematik 5 Monatshefte für Mathematik 5 Nagoya Mathematical Journal 5 Research in Number Theory 4 Acta Mathematica 4 Functiones et Approximatio. Commentarii Mathematici 4 Chinese Annals of Mathematics. Series B 4 Annals of Mathematics. Second Series 4 Kyoto Journal of Mathematics 4 Annales Mathématiques du Québec 4 Research in the Mathematical Sciences 3 Journal of Mathematical Physics 3 Lithuanian Mathematical Journal 3 Rocky Mountain Journal of Mathematics 3 The Mathematical Intelligencer 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Bulletin de la Société Mathématique de France 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Experimental Mathematics 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of the Institute of Mathematics of Jussieu 3 Algebra & Number Theory 3 Japanese Journal of Mathematics. 3rd Series 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Glasgow Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Journal of Soviet Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Selecta Mathematica. New Series 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Geometric Methods in Modern Physics 2 Bulletin of the American Mathematical Society 2 Forum of Mathematics, Sigma 1 Archive for History of Exact Sciences 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reviews in Mathematical Physics 1 Algebra and Logic 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Pure and Applied Algebra 1 Mathematika 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Combinatorica 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Science in China. Series A 1 Glasnik Matematički. Serija III ...and 24 more Serials
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#### Cited in 40 Fields

 632 Number theory (11-XX) 282 Topological groups, Lie groups (22-XX) 53 Algebraic geometry (14-XX) 44 Group theory and generalizations (20-XX) 23 Abstract harmonic analysis (43-XX) 20 Global analysis, analysis on manifolds (58-XX) 14 Quantum theory (81-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Differential geometry (53-XX) 9 Functions of a complex variable (30-XX) 9 Special functions (33-XX) 8 Partial differential equations (35-XX) 6 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 4 Nonassociative rings and algebras (17-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

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