American Journal of Mathematics Short Title: Am. J. Math. Publisher: Johns Hopkins University Press, Baltimore, MD ISSN: 0002-9327; 1080-6377/e Online: http://muse.jhu.edu/journal/5http://www.jstor.org/journal/amerjmath Comments: Indexed cover-to-cover Documents Indexed: 6,988 Publications (since 1878) References Indexed: 63 Publications with 2,296 References. all top 5 Latest Issues 144, No. 6 (2022) 144, No. 5 (2022) 144, No. 4 (2022) 144, No. 3 (2022) 144, No. 2 (2022) 144, No. 1 (2022) 143, No. 6 (2021) 143, No. 5 (2021) 143, No. 4 (2021) 143, No. 3 (2021) 143, No. 2 (2021) 143, No. 1 (2021) 142, No. 6 (2020) 142, No. 5 (2020) 142, No. 4 (2020) 142, No. 3 (2020) 142, No. 2 (2020) 142, No. 1 (2020) 141, No. 6 (2019) 141, No. 5 (2019) 141, No. 4 (2019) 141, No. 3 (2019) 141, No. 2 (2019) 141, No. 1 (2019) 140, No. 6 (2018) 140, No. 5 (2018) 140, No. 4 (2018) 140, No. 3 (2018) 140, No. 2 (2018) 140, No. 1 (2018) 139, No. 6 (2017) 139, No. 5 (2017) 139, No. 4 (2017) 139, No. 3 (2017) 139, No. 2 (2017) 139, No. 1 (2017) 138, No. 6 (2016) 138, No. 5 (2016) 138, No. 4 (2016) 138, No. 3 (2016) 138, No. 2 (2016) 138, No. 1 (2016) 137, No. 6 (2015) 137, No. 5 (2015) 137, No. 4 (2015) 137, No. 3 (2015) 137, No. 2 (2015) 137, No. 1 (2015) 136, No. 6 (2014) 136, No. 5 (2014) 136, No. 4 (2014) 136, No. 3 (2014) 136, No. 2 (2014) 136, No. 1 (2014) 135, No. 6 (2013) 135, No. 5 (2013) 135, No. 4 (2013) 135, No. 3 (2013) 135, No. 2 (2013) 135, No. 1 (2013) 134, No. 6 (2012) 134, No. 5 (2012) 134, No. 4 (2012) 134, No. 3 (2012) 134, No. 2 (2012) 134, No. 1 (2012) 133, No. 6 (2011) 133, No. 5 (2011) 133, No. 4 (2011) 133, No. 3 (2011) 133, No. 2 (2011) 133, No. 1 (2011) 132, No. 6 (2010) 132, No. 5 (2010) 132, No. 4 (2010) 132, No. 3 (2010) 132, No. 2 (2010) 132, No. 1 (2010) 131, No. 6 (2009) 131, No. 5 (2009) 131, No. 4 (2009) 131, No. 3 (2009) 131, No. 2 (2009) 131, No. 1 (2009) 130, No. 6 (2008) 130, No. 5 (2008) 130, No. 4 (2008) 130, No. 3 (2008) 130, No. 2 (2008) 130, No. 1 (2008) 129, No. 6 (2007) 129, No. 5 (2007) 129, No. 4 (2007) 129, No. 3 (2007) 129, No. 2 (2007) 129, No. 1 (2007) 128, No. 6 (2006) 128, No. 5 (2006) 128, No. 4 (2006) 128, No. 3 (2006) ...and 228 more Volumes all top 5 Authors 264 Wintner, Aurel 131 Hartman, Philip 62 Van Kampen, Egbert Rudolf 47 Whyburn, Gordon Thomas 44 Miller, George Abram 42 Dickson, Leonard Eugene 42 Zariski, Oscar 35 Bell, Eric Temple 34 Kershner, Richard B. 30 Haviland, Edward Kenneth 29 Morley, Frank 26 Coble, Arthur Byron 26 Sylvester, James Joseph 25 Cayley, Arthur 24 Snyder, Virgil 22 Igusa, Jun-ichi 22 Kasner, Edward 21 Baer, Reinhold 21 Carmichael, Robert D. 20 Schilling, Otto Franz Georg 19 Craig, Thomas 18 Agnew, Ralph Palmer 18 Blumenthal, Leonard M. 18 Jacobson, Nathan 17 Abhyankar, Shreeram Shankar 17 Brahana, Henry Roy 17 Franklin, Fabian 17 Kac, Mark 17 Putnam, Calvin R. 17 Wilson, Wallace Alvin 16 Mostow, George Daniel 16 Reid, William T. 16 Ward, Morgan 15 Boas, Ralph Philip jun. 15 Emch, Arnold F. 15 Erdős, Pál 15 Hochschild, Gerhard Paul 15 Lang, Serge 15 McClintock, Emory 14 Evans, Griffith Conrad 14 Weyl, Hermann 13 Chow, Wei-Liang 13 MacMahon, Percy Alexander 13 Martin, Monroe Harnish 13 Musselman, John Rogers 12 de Cicco, John 12 Griffiths, Lois Wilfred 12 Lane, Ernest Preston 12 Mac Lane, Leslie Saunders 12 Yau, Stephen Shing-Toung 12 Zippin, Leo 11 Eisenhart, Luther Pfahler 11 Lewis, Daniel C. jun. 11 Matsusaka, Teruhisa 11 Montgomery, Deane 11 Morrey, Charles Bradfield jun. 11 Morse, Marston 11 Murray, F. H. 11 Pall, Gordon 11 Senior, James K. 11 Veech, William Austin 11 Whitney, Hassler 11 Wong, Bing Chin 11 Yau, Shing-Tung 10 Bolza, Oskar 10 Browder, Felix Earl 10 Carlitz, Leonard 10 Dieudonné, Jean Alexandre 10 Fields, John Charles 10 Glashan, J. C. 10 Harish-Chandra 10 Kodaira, Kunihiko 10 Lunn, Arthur Constant 10 MacQueen, Marion Lee 10 Murnaghan, Francis Dominic 10 Price, Griffith Baley 10 Rademacher, Hans Adolph 10 Sisam, Charles Herschel 10 Szasz, Otto 10 Tataru, Daniel 10 Wainger, Stephen 10 Wiener, Norbert 9 Bateman, Harry 9 Brauer, Richard 9 Clifford, Alfred H. 9 Craig, Homer Vincent 9 Hedlund, Gustav Arnold 9 Hirschman, Isidore Isaac jun. 9 James, Ralph Duncan 9 Johnson, William Woolsey 9 Kenig, Carlos Eduardo 9 Lehmer, Derrick Henry 9 Mumford, David Bryant 9 Ritt, Joseph Fels 9 Salvati Manni, Riccardo 9 Seeley, Robert Thomas 9 Seidenberg, Abraham 9 Sharpe, Francis Robert 9 Stein, Elias Menachem 9 Sternberg, Shlomo ...and 4,209 more Authors all top 5 Fields 694 Algebraic geometry (14-XX) 637 Number theory (11-XX) 309 Differential geometry (53-XX) 298 Several complex variables and analytic spaces (32-XX) 251 Topological groups, Lie groups (22-XX) 246 Partial differential equations (35-XX) 236 Manifolds and cell complexes (57-XX) 210 Group theory and generalizations (20-XX) 173 Global analysis, analysis on manifolds (58-XX) 161 Algebraic topology (55-XX) 150 Functional analysis (46-XX) 140 Commutative algebra (13-XX) 127 Functions of a complex variable (30-XX) 126 Dynamical systems and ergodic theory (37-XX) 105 Operator theory (47-XX) 87 Field theory and polynomials (12-XX) 84 Harmonic analysis on Euclidean spaces (42-XX) 74 Associative rings and algebras (16-XX) 74 General topology (54-XX) 71 Nonassociative rings and algebras (17-XX) 69 Abstract harmonic analysis (43-XX) 52 Measure and integration (28-XX) 49 Ordinary differential equations (34-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 45 Combinatorics (05-XX) 43 Convex and discrete geometry (52-XX) 42 Special functions (33-XX) 40 Category theory; homological algebra (18-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 38 Geometry (51-XX) 37 Real functions (26-XX) 37 Probability theory and stochastic processes (60-XX) 33 Potential theory (31-XX) 30 Quantum theory (81-XX) 26 Approximations and expansions (41-XX) 26 Integral transforms, operational calculus (44-XX) 24 Mechanics of particles and systems (70-XX) 22 Mathematical logic and foundations (03-XX) 20 \(K\)-theory (19-XX) 15 Difference and functional equations (39-XX) 14 History and biography (01-XX) 13 Integral equations (45-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 8 Sequences, series, summability (40-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 6 Numerical analysis (65-XX) 6 Relativity and gravitational theory (83-XX) 5 General algebraic systems (08-XX) 5 Systems theory; control (93-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,992 Publications have been cited 89,752 times in 68,850 Documents Cited by ▼ Year ▼ Harmonic mappings of Riemannian manifolds. Zbl 0122.40102Eells, James jun.; Sampson, J. H. 826 1964 Endpoint Strichartz estimates. Zbl 0922.35028Keel, Markus; Tao, Terence 747 1998 Logarithmic Sobolev inequalities. Zbl 0318.46049Gross, Leonard 657 1976 Continuity of solutions of parabolic and elliptic equations. Zbl 0096.06902Nash, John F. 497 1958 Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038Crandall, M. G.; Liggett, T. M. 439 1971 Some maximal inequalities. Zbl 0222.26019Fefferman, Charles; Stein, Elias M. 397 1971 Lie group representations on polynomial rings. Zbl 0124.26802Kostant, Bertram 384 1963 The homogeneous chaos. JFM 64.0887.02Wiener, N. 381 1938 Invariants of finite groups generated by reflections. Zbl 0065.26103Chevalley, Claude 328 1955 Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3. 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Zbl 0058.27202Lang, Serge; Weil, André 207 1954 Some basic theorems on algebraic groups. Zbl 0073.37601Rosenlicht, Maxweli 204 1956 Projective models of K-3 surfaces. Zbl 0301.14011Saint-Donat, Bernard 199 1974 Reduction of singularities of the differential equation Ady-Bdx. Zbl 0159.33303Seidenberg, A. 198 1968 On Euler products and the classification of automorphic representations. I. Zbl 0473.12008Jacquet, H.; Shalika, J. A. 196 1981 An associative orthogonal bilinear form for Hopf algebras. Zbl 0179.05803Larson, R. G.; Sweedler, M. E. 196 1969 Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101Christ, Michael; Colliander, James; Tao, Terrence 195 2003 \(q\)-difference equations. JFM 41.0502.01Jackson, F. H. 195 1910 High frequency approximation of solutions to critical nonlinear wave equations. Zbl 0919.35089Bahouri, Hajer; Gérard, Patrick 195 1999 On groups of measure preserving transformations. I. Zbl 0087.11501Dye, H. A. 195 1959 Introduction to a general theory of elementary propositions. JFM 48.1122.01Post, E. L. 191 1921 An iteration formula for Fredholm integral equations of the first kind. Zbl 0043.10602Landweber, L. 189 1951 Local contractions and a theorem of Poincaré. Zbl 0080.29902Sternberg, Shlomo 184 1957 A general Schwarz lemma for Kähler manifolds. Zbl 0424.53040Yau, Shing-Tung 183 1978 Algebraic families on an algebraic surface. Zbl 0176.18401Fogarty, John 182 1968 A measure associated with axiom-A attractors. Zbl 0355.58010Ruelle, David 181 1976 On the structure of local homeomorphisms of Euclidean \(n\)-space. II. Zbl 0083.31406Sternberg, Shlomo 181 1958 Sur la classification des fibres holomorphes sur la sphère de Riemann. Zbl 0079.17001Grothendieck, A. 180 1957 Characterizations of regular local rings of characteristic \(p\). Zbl 0188.33702Kunz, Ernst 179 1969 On Euler products and the classification of automorphic forms. II. Zbl 0491.10020Jacquet, H.; Shalika, J. A. 179 1981 Some numerical criteria for contractability of curves on algebraic surfaces. Zbl 0105.14404Artin, M. 177 1962 Doubly stochastic matrices and the diagonal of a rotation matrix. Zbl 0055.24601Horn, Alfred 175 1954 The homogeneous chaos. Zbl 0019.35406Wiener, Norbert 174 1938 Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027Burq, N.; Gérard, P.; Tzvetkov, N. 173 2004 Duality for modules over finite rings and applications to coding theory. Zbl 0968.94012Wood, Jay A. 173 1999 Symbolic dynamics for hyperbolic flows. Zbl 0282.58009Bowen, Rufus 172 1973 Orbits and representations associated with symmetric spaces. Zbl 0224.22013Kostant, Bertram; Rallis, S. 171 1971 Markov partitions for axiom A diffeomorphisms. Zbl 0208.25901Bowen, R. 169 1970 On Siegel modular forms of genus two. I, II. Zbl 0133.33301Igusa, J.-I. 167 1964 Multilinear weighted convolution of \(L^2\) functions, and applications to nonlinear dispersive equations. Zbl 0998.42005Tao, Terence 166 2001 Differential operators on a semisimple Lie algebra. Zbl 0072.01901Harish-Chandra 161 1957 On the higher integrability of the gradient of weak solutions of certain degenerate elliptic systems. Zbl 0805.35037DiBenedetto, Emmanuele; Manfredi, J. 157 1993 Symbolic dynamics. II: Sturmian trajectories. Zbl 0022.34003Morse, Marston; Hedlund, Gustav A. 155 1940 On the Iwasawa invariants of totally real number fields. Zbl 0334.12013Greenberg, Ralph 155 1976 Gromov-Witten theory of Deligne-Mumford stacks. Zbl 1193.14070Abramovich, Dan; Graber, Tom; Vistoli, Angelo 154 2008 A closed set of normal orthogonal functions. JFM 49.0293.03Walsh, J. L. 153 1923 On the abstract properties of linear dependence. JFM 61.0073.03Whitney, H. 151 1935 Generic properties of eigenfunctions. Zbl 0355.58017Uhlenbeck, K. 150 1976 Finiteness of the odd perfect and primitive abundant numbers with \(n\) distinct prime factors. JFM 44.0220.02Dickson, L. E. 147 1913 The theory of simply periodic functions. (Théorie des fonctions numériques simplement périodiques.) JFM 10.0134.05Lucas, Edouard 145 1878 A topological application of the isoperimetric inequality. Zbl 0522.53039Gromov, Mikhael; Milman, V. D. 142 1983 Finiteness theorems for Riemannian manifolds. Zbl 0194.52902Cheeger, J. 141 1970 Applications of the theory of Morse to symmetric spaces. Zbl 0101.39702Bott, Raoul; Samelson, Hans 139 1961 Characters of solvable and symplectic groups. Zbl 0277.20008Isaacs, I. M. 138 1973 Periodic orbits for hyperbolic flows. Zbl 0254.58005Bowen, Rufus 137 1972 On curves of minimal length with a constraint on average courvature, and with prescribed initial and terminal positions and tangents. Zbl 0098.35401Dubins, L. E. 135 1957 Gradient estimates via non-linear potentials. Zbl 1230.35028Duzaar, Frank; Mingione, Giuseppe 135 2011 Critères de compacité dans les espaces fonctionnels généraux. Zbl 0046.11702Grothendieck, A. 135 1952 Submanifolds with constant mean curvature. I. Zbl 0304.53041Yau, Shing-Tung 134 1974 Boolean algebras with operators. II. Zbl 0045.31601Jónsson, Bjarni; Tarski, Alfred 133 1952 On the valuations centered in a local domain. Zbl 0074.26301Abhyankar, Shreeram 133 1956 Remarks on correspondences and algebraic cycles. Zbl 0525.14003Bloch, S.; Srinivas, V. 133 1983 Modules over operator algebras. Zbl 0051.09101Kaplansky, Irving 132 1953 A variational principle for the pressure of continuous transformations. Zbl 0318.28007Walters, Peter 132 1976 Almost automorphic functions on groups. Zbl 0137.05803Veech, W. A. 131 1965 Analyticity in operator algebras. Zbl 0183.42501Arveson, W. B. 130 1967 Endomorphisms of compact differentiable manifolds. Zbl 0201.56305Shub, M. 129 1969 On a simple unital projectionless \(C^*\)-algebra. Zbl 0923.46069Jiang, Xinhui; Su, Hongbing 128 1999 Fixed point theorems for multivalued transformations. Zbl 0060.40203Eilenberg, Samuel; Montgomery, Deane 128 1946 Algebraic groups over finite fields. Zbl 0073.37901Lang, Serge 127 1956 Weighted Strichartz estimates and global existence for semilinear wave equations. Zbl 0893.35075Georgiev, Vladimir; Lindblad, Hans; Sogge, Christopher D. 126 1997 The structure of distal flows. Zbl 0199.27202Furstenberg, H. 126 1963 Singular integrals and boundary value problems. Zbl 0178.17601Seeley, R. T. 125 1966 Compression of wavelet decompositions. Zbl 0764.41024DeVore, Ronald A.; Jawerth, Björn; Popov, Vasil 125 1992 Topological rings. Zbl 0034.16604Kaplansky, Irving 124 1947 Symbolic dynamics. JFM 64.0798.04Morse, M.; Hedlund, G. A. 123 1938 Approximate diagonals and cohomology of certain annihilator Banach algebras. Zbl 0246.46040Johnson, B. E. 123 1972 On minimally elliptic singularities. Zbl 0384.32003Laufer, Henry B. 121 1977 Uniqueness in the Cauchy problem for partial differential equations. Zbl 0080.30302Calderón, Alberto P. 121 1958 Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations. Zbl 0917.35128Hayashi, Nakao; Naumkin, Pavel I. 121 1998 Pseudo-Einstein structures on CR manifolds. Zbl 0638.32019Lee, John M. 121 1988 Studies in equisingularity. I: Equivalent singularities of plane algebroid curves. Zbl 0132.41601Zariski, O. 120 1965 On projective manifolds with semi-positive holomorphic sectional curvature. Zbl 1498.14130Matsumura, Shin-Ichi 3 2022 Roots of random functions: a framework for local universality. Zbl 1496.60012Nguyen, Oanh; Vu, Van 3 2022 On the failure of Gorensteinness at weight \(1\) Eisenstein points of the eigencurve. Zbl 1497.11116Betina, Adel; Dimitrov, Mladen; Pozzi, Alice 3 2022 Gaussian fluctuations for products of random matrices. 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Zbl 07629504Collins, Tristan C.; Picard, Sebastien 1 2022 Weighted restriction estimates and application to Falconer distance set problem. Zbl 1461.28003Du, Xiumin; Guth, Larry; Ou, Yumeng; Wang, Hong; Wilson, Bobby; Zhang, Ruixiang 20 2021 Hida families and \(p\)-adic triple product \(L\)-functions. Zbl 1470.11115Hsieh, Ming-Lun 9 2021 Symmetric convex sets with minimal Gaussian surface area. Zbl 1462.53003Heilman, Steven 9 2021 From Neumann to Steklov and beyond, via Robin: the Weinberger way. Zbl 1471.35096Freitas, Pedro; Laugesen, Richard S. 7 2021 A generalized Schmidt subspace theorem for closed subschemes. Zbl 1469.14015Heier, Gordon; Levin, Aaron 6 2021 On the sign patterns of entrywise positivity preservers in fixed dimension. Zbl 1487.30003Khare, Apoorva; Tao, Terence 5 2021 Boundary unique continuation for a class of elliptic equations. Zbl 1471.35148Berhanu, S. 4 2021 Boundary and Lens rigidity for non-convex manifolds. 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T. 44 Merle, Frank 43 Stein, Elias Menachem 42 Lin, Huaxin 42 Vasconcelos, Wolmer V. 41 Borodin, Oleg Veniaminovich 41 Hartman, Philip 41 Laterveer, Robert 41 Vazquez, Juan Luis 40 Cutkosky, Steven Dale 40 Ivanova, Anna Olegovna 39 Goto, Shiro 39 Joseph, Anthony 39 Simis, Aron 38 Forstnerič, Franc 38 Tataru, Daniel 38 Yau, Stephen Shing-Toung 37 Ballico, Edoardo 37 Barreira, Luis Manuel 37 Trotter, William T. jun. 37 Vavilov, Nikolaĭ Aleksandrovich 36 de Lima, Henrique F. 36 Glasner, Eli 36 Kustin, Andrew R. 36 Lee, Sanghyuk 36 Valls Anglés, Cláudia 35 Ciliberto, Ciro 35 Herzog, Jürgen 35 Mingione, Giuseppe 35 Tzvetkov, Nikolay 35 Uhlmann, Gunther Alberto 34 Catanese, Fabrizio M. E. 34 Martel, Yvan 34 Schwede, Karl E. 34 Xue, Qingying 33 Eisenbud, David 32 Elliott, George A. 32 Oh, Tadahiro 32 Ratliff, Louis J. jun. 32 Srivastava, Hari Mohan 32 Wick, Brett Duane 31 Seeger, Andreas 31 Xu, Hongwei 31 Yau, Shing-Tung 30 Bedford, Eric 30 Garofalo, Nicola 30 Li, Jiayu 30 Miao, Changxing 30 Mitrea, Marius 30 Ngô Viêt Trung 29 Agarwal, Ravi P. 29 Chen, Yanping 29 Heinzer, William J. 29 Iyengar, Srikanth B. 29 Li, Ji 29 Liu, Feng 29 Panyushev, Dmitri Ivanovich 29 Rosalsky, Andrew 29 Veys, Willem 29 Voisin, Claire 29 Zheng, Jiqiang 28 Andrews, George Eyre 28 Dolbeault, Jean 28 Lapid, Erez Moshe 28 Reich, Simeon 28 Schlag, Wilhelm 28 Tiep Pham Huu 27 Artal Bartolo, Enrique 27 Chen, Jiecheng 27 Colliot-Thélène, Jean-Louis 27 Damanik, David 27 Dougherty, Steven T. 27 Grafakos, Loukas 27 Guo, Zihua 27 Hayashi, Nakao 27 Osękowski, Adam 27 Parimala, Raman 27 Wintner, Aurel 26 Donninger, Roland 26 Dragomir, Sorin 26 Fan, Dashan 26 Gesztesy, Fritz 26 Gonçalves, Daciberg Lima 26 Guralnick, Robert Michael 26 Hidalgo, Rubén Antonio 26 Ionescu, Alexandru D. 26 Isaev, Alexander 26 Kollár, János 26 Kostant, Bertram ...and 46,515 more Authors all top 5 Cited in 1,243 Journals 2,991 Transactions of the American Mathematical Society 2,429 Proceedings of the American Mathematical Society 2,263 Journal of Algebra 1,760 Mathematische Annalen 1,670 Advances in Mathematics 1,603 Mathematische Zeitschrift 1,535 Journal of Functional Analysis 1,308 Journal of Mathematical Analysis and Applications 1,125 Inventiones Mathematicae 930 Journal of Pure and Applied Algebra 864 Communications in Algebra 835 Duke Mathematical Journal 795 Journal of Differential Equations 738 Communications in Mathematical Physics 712 Journal of Number Theory 706 Annales de l’Institut Fourier 698 Compositio Mathematica 666 Israel Journal of Mathematics 656 Topology and its Applications 633 Manuscripta Mathematica 625 Bulletin of the American Mathematical Society 591 Journal of Mathematical Physics 591 The Journal of Geometric Analysis 516 Archiv der Mathematik 455 Ergodic Theory and Dynamical Systems 437 Tôhoku Mathematical Journal. 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Analyse Non Linéaire 150 Pacific Journal of Mathematics ...and 1,143 more Journals all top 5 Cited in 63 Fields 10,012 Algebraic geometry (14-XX) 7,807 Partial differential equations (35-XX) 7,499 Number theory (11-XX) 6,495 Differential geometry (53-XX) 4,839 Several complex variables and analytic spaces (32-XX) 4,661 Group theory and generalizations (20-XX) 4,553 Dynamical systems and ergodic theory (37-XX) 4,494 Functional analysis (46-XX) 3,956 Operator theory (47-XX) 3,593 Global analysis, analysis on manifolds (58-XX) 3,362 Manifolds and cell complexes (57-XX) 3,326 Topological groups, Lie groups (22-XX) 3,314 Commutative algebra (13-XX) 3,145 Combinatorics (05-XX) 2,739 Harmonic analysis on Euclidean spaces (42-XX) 2,527 Functions of a complex variable (30-XX) 2,404 Associative rings and algebras (16-XX) 2,293 Nonassociative rings and algebras (17-XX) 2,159 Algebraic topology (55-XX) 2,148 Probability theory and stochastic processes (60-XX) 2,025 Ordinary differential equations (34-XX) 1,931 Quantum theory (81-XX) 1,646 General topology (54-XX) 1,462 Mathematical logic and foundations (03-XX) 1,445 Computer science (68-XX) 1,334 Numerical analysis (65-XX) 1,257 Abstract harmonic analysis (43-XX) 1,229 Linear and multilinear algebra; matrix theory (15-XX) 1,228 Measure and integration (28-XX) 1,213 Convex and discrete geometry (52-XX) 1,160 Category theory; homological algebra (18-XX) 980 Calculus of variations and optimal control; optimization (49-XX) 959 Field theory and polynomials (12-XX) 885 Order, lattices, ordered algebraic structures (06-XX) 862 Fluid mechanics (76-XX) 851 Real functions (26-XX) 773 Special functions (33-XX) 707 Mechanics of particles and systems (70-XX) 656 Information and communication theory, circuits (94-XX) 644 Potential theory (31-XX) 635 \(K\)-theory (19-XX) 635 Geometry (51-XX) 607 Statistical mechanics, structure of matter (82-XX) 586 Approximations and expansions (41-XX) 569 Relativity and gravitational theory (83-XX) 568 Difference and functional equations (39-XX) 532 History and biography (01-XX) 479 Statistics (62-XX) 447 Mechanics of deformable solids (74-XX) 440 Systems theory; control (93-XX) 417 Operations research, mathematical programming (90-XX) 412 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 361 Integral transforms, operational calculus (44-XX) 289 Biology and other natural sciences (92-XX) 255 Integral equations (45-XX) 228 Sequences, series, summability (40-XX) 215 General algebraic systems (08-XX) 163 Optics, electromagnetic theory (78-XX) 162 General and overarching topics; collections (00-XX) 93 Classical thermodynamics, heat transfer (80-XX) 77 Geophysics (86-XX) 28 Astronomy and astrophysics (85-XX) 11 Mathematics education (97-XX) Citations by Year