Advances in Mathematics Short Title: Adv. Math. Publisher: Elsevier (Academic Press), San Diego, CA ISSN: 0001-8708 Online: http://www.sciencedirect.com/science/journal/00018708 Comments: Indexed cover-to-cover Documents Indexed: 7,192 Publications (since 1961) References Indexed: 6,794 Publications with 193,776 References. all top 5 Latest Issues 390 (2021) 389 (2021) 388 (2021) 387 (2021) 386 (2021) 385 (2021) 383 (2021) 382 (2021) 381 (2021) 380 (2021) 379 (2021) 378 (2021) 377 (2021) 376 (2021) 375 (2020) 374 (2020) 373 (2020) 372 (2020) 371 (2020) 370 (2020) 369 (2020) 368 (2020) 367 (2020) 366 (2020) 365 (2020) 364 (2020) 363 (2020) 362 (2020) 361 (2020) 360 (2020) 359 (2020) 358 (2019) 357 (2019) 356 (2019) 355 (2019) 354 (2019) 353 (2019) 352 (2019) 351 (2019) 350 (2019) 349 (2019) 348 (2019) 347 (2019) 346 (2019) 345 (2019) 344 (2019) 343 (2019) 342 (2019) 341 (2019) 340 (2018) 339 (2018) 338 (2018) 337 (2018) 336 (2018) 335 (2018) 334 (2018) 333 (2018) 332 (2018) 331 (2018) 330 (2018) 329 (2018) 328 (2018) 327 (2018) 326 (2018) 325 (2018) 324 (2018) 323 (2018) 322 (2017) 321 (2017) 320 (2017) 319 (2017) 318 (2017) 317 (2017) 316 (2017) 315 (2017) 314 (2017) 313 (2017) 312 (2017) 311 (2017) 310 (2017) 309 (2017) 308 (2017) 307 (2017) 306 (2017) 305 (2017) 304 (2017) 303 (2016) 302 (2016) 301 (2016) 300 (2016) 299 (2016) 298 (2016) 297 (2016) 296 (2016) 295 (2016) 294 (2016) 293 (2016) 292 (2016) 291 (2016) 290 (2016) ...and 513 more Volumes all top 5 Authors 28 Kac, Victor G. 24 Dress, Andreas W. M. 20 Lusztig, George 20 Sukochev, Fedor Anatol’evich 17 Guillemin, Victor W. 17 Milne, Stephen C. 15 Etingof, Pavel Il’ich 15 Reiten, Idun 13 Kawai, Takahiro 12 Bringmann, Kathrin 12 Gel’fand, Israil’ Moiseevich 12 Joyce, Dominic David 12 Ornstein, Donald Samuel 12 Todorcevic, Stevo B. 12 Yu, Guoliang 11 Andrews, George Eyre 11 Fefferman, Charles Louis 11 Fröhlich, Jürg Martin 11 He, Xuhua 11 Iyama, Osamu 11 Koldobsky, Alexander L. 11 Lau, Kasing 11 Shelah, Saharon 11 Zhang, James J. 10 Córdoba Barba, Antonio Juan 10 De Concini, Corrado 10 Derksen, Harm 10 Procesi, Claudio 10 Tiep Pham Huu 10 Van den Bergh, Michel 10 Varchenko, Alexander Nikolaevich 10 Xiao, Jie 10 Zelevinskiĭ, Andreĭ V. 9 Auslander, Maurice 9 Berenstein, Arkady 9 Berndt, Bruce Carl 9 Borisov, Lev A. 9 Böröczky, Karoly jun. 9 Brooks, James K. 9 Chen, Wenxiong 9 Friedman, Harvey M. 9 Garsia, Adriano M. 9 Gilkey, Peter B. 9 Katzarkov, Ludmil 9 Kock, Joachim 9 Mauldin, Richard Daniel 9 Nakano, Daniel K. 9 Stein, Elias Menachem 9 Takei, Yoshitsugu 9 Terao, Hiroaki 9 Werner, Elisabeth M. 9 Weyman, Jerzy M. 9 Xin, Zhouping 9 Zaharescu, Alexandru 8 Baez, John C. 8 Bárány, Imre 8 Borodin, Alexei 8 Buchsbaum, David A. 8 Feng, De-Jun 8 Gardner, Richard J. 8 Garner, Richard 8 Ginzburg, Victor 8 Hua, Bobo 8 Kapranov, Mikhail M. 8 Lieb, Elliott H. 8 Lu, Guozhen 8 Lutwak, Erwin 8 Ono, Ken 8 Rota, Gian-Carlo 8 Simon, Barry 8 Stembridge, John R. 8 Thibon, Jean-Yves 8 Williams, Lauren K. 7 Alesker, Semyon 7 Beresnevich, Victor V. 7 Biswas, Indranil 7 Chacon, Rafael V. S. 7 Chae, Dongho 7 Eisenbud, David 7 Fisk, Steve 7 Goncharov, Alexander Borisovich 7 Guo, Li 7 Guralnick, Robert Michael 7 Helgason, Sigurdur 7 Hibi, Takayuki 7 Huneke, Craig L. 7 Kashiwara, Masaki 7 Kenig, Carlos Eduardo 7 Kobayashi, Toshiyuki 7 Koike, Kazuhiko 7 Kong, Liang 7 Lenart, Cristian 7 Ludwig, Monika 7 Milman, Pierre D. 7 Moerdijk, Ieke 7 Müller, Thomas W. 7 Nazarov, Fedor L. 7 Ozsváth, Peter Steven 7 Penner, Robert C. 7 Potapov, Denis ...and 7,913 more Authors all top 5 Fields 1,320 Algebraic geometry (14-XX) 834 Group theory and generalizations (20-XX) 819 Differential geometry (53-XX) 725 Combinatorics (05-XX) 650 Partial differential equations (35-XX) 598 Associative rings and algebras (16-XX) 591 Functional analysis (46-XX) 590 Nonassociative rings and algebras (17-XX) 566 Category theory; homological algebra (18-XX) 548 Number theory (11-XX) 447 Convex and discrete geometry (52-XX) 441 Several complex variables and analytic spaces (32-XX) 421 Global analysis, analysis on manifolds (58-XX) 418 Manifolds and cell complexes (57-XX) 391 Dynamical systems and ergodic theory (37-XX) 382 Commutative algebra (13-XX) 381 Algebraic topology (55-XX) 358 Topological groups, Lie groups (22-XX) 327 Operator theory (47-XX) 276 Measure and integration (28-XX) 264 Probability theory and stochastic processes (60-XX) 245 Quantum theory (81-XX) 235 Mathematical logic and foundations (03-XX) 228 Functions of a complex variable (30-XX) 214 Harmonic analysis on Euclidean spaces (42-XX) 193 Linear and multilinear algebra; matrix theory (15-XX) 189 Special functions (33-XX) 184 \(K\)-theory (19-XX) 142 Order, lattices, ordered algebraic structures (06-XX) 128 Real functions (26-XX) 126 General topology (54-XX) 124 Abstract harmonic analysis (43-XX) 101 Ordinary differential equations (34-XX) 100 Geometry (51-XX) 97 Fluid mechanics (76-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 82 Statistical mechanics, structure of matter (82-XX) 72 Computer science (68-XX) 70 Field theory and polynomials (12-XX) 68 Potential theory (31-XX) 47 Integral transforms, operational calculus (44-XX) 44 Approximations and expansions (41-XX) 33 Information and communication theory, circuits (94-XX) 29 General algebraic systems (08-XX) 28 Difference and functional equations (39-XX) 26 Numerical analysis (65-XX) 26 Mechanics of particles and systems (70-XX) 20 Operations research, mathematical programming (90-XX) 20 Biology and other natural sciences (92-XX) 16 Statistics (62-XX) 15 Integral equations (45-XX) 12 Relativity and gravitational theory (83-XX) 10 Sequences, series, summability (40-XX) 10 Mechanics of deformable solids (74-XX) 10 Optics, electromagnetic theory (78-XX) 9 Systems theory; control (93-XX) 8 History and biography (01-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 General and overarching topics; collections (00-XX) 6 Geophysics (86-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 6,354 Publications have been cited 103,850 times in 71,132 Documents Cited by ▼ Year ▼ Lie superalgebras. 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Zbl 0497.15020Akin, Kaan; Buchsbaum, David A.; Weyman, Jerzy 165 1982 Sur certaines martingales de Benoit Mandelbrot. Zbl 0349.60051Kahane, J.-P.; Peyriere, J. 164 1976 The geometry of tensor calculus. I. Zbl 0738.18005Joyal, André; Street, Ross 164 1991 A variational problem for random Young tableaux. Zbl 0363.62068Logan, B. F.; Shepp, L. A. 163 1977 Algebraic cycles and higher K-theory. Zbl 0608.14004Bloch, Spencer 162 1986 Some combinatorial properties of Jack symmetric functions. Zbl 0743.05072Stanley, Richard P. 161 1989 Convergent sequences of dense graphs. I: Subgraph frequencies, metric properties and testing. Zbl 1213.05161Borgs, C.; Chayes, J. T.; Lovász, L.; Sós, V. T.; Vesztergombi, K. 160 2008 Topological planes. Zbl 0153.21601Salzmann, Helmut R. 158 1967 A duality for symmetric spaces with applications to group representations. Zbl 0209.25403Helgason, S. 156 1970 Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay. Zbl 0289.14010Hochster, Melvin; Roberts, Joel L. 154 1974 Cohen-Macaulay quotients of polynomial rings. Zbl 0345.13017Reisner, Gerald Allen 151 1976 Hopf algebra of the planar binary trees. Zbl 0926.16032Loday, Jean-Louis; Ronco, María O. 149 1998 Riemann-Roch and Abel-Jacobi theory on a finite graph. Zbl 1124.05049Baker, Matthew; Norine, Serguei 147 2007 A new theory of regular functions of a quaternionic variable. Zbl 1124.30015Gentili, Graziano; Struppa, Daniele C. 145 2007 Exponential codimension growth of PI algebras: an exact estimate. Zbl 0920.16013Giambruno, A.; Zaicev, M. 141 1999 A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations. Zbl 0840.20007Ariki, Susumu; Koike, Kazuhiko 139 1994 The complexity of the word problems for commutative semigroups and polynomial ideals. Zbl 0506.03007Mayr, Ernst W.; Meyer, Albert R. 138 1982 Einstein metrics with prescribed conformal infinity on the ball. Zbl 0765.53034Graham, C. Robin; Lee, John M. 136 1991 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 136 1998 Nonintersecting paths, pfaffians, and plane partitions. Zbl 0790.05007Stembridge, John R. 134 1990 A multifractal formalism. Zbl 0841.28012Olsen, L. 134 1995 Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces. Zbl 0562.54041Dress, Andreas W. M. 134 1984 Analytic torsion and R-torsion of Riemannian manifolds. Zbl 0395.57011Müller, Werner 133 1978 Completely integrable systems, Euclidean Lie algebras, and curves. Zbl 0455.58017Adler, M.; Van Moerbeke, P. 132 1980 Nagumo’s equation. Zbl 0202.16203McKean, H. P. jun. 131 1970 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 130 1998 On codimension growth of finitely generated associative algebras. Zbl 0920.16012Giambruno, A.; Zaicev, M. 130 1998 A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1048.26010Cordero-Erausquin, D.; Nazaret, B.; Villani, C. 129 2004 A direct method of moving planes for the fractional Laplacian. Zbl 1362.35320Chen, Wenxiong; Li, Congming; Li, Yan 129 2017 Best constants in Young’s inequality, its converse, and its generalization to more than three functions. Zbl 0339.26020Brascamp, Herm Jan; Lieb, Elliott H. 128 1976 Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories. Zbl 1115.16005Iyama, Osamu 128 2007 Structure of representations with highest weight of infinite-dimensional Lie algebras. Zbl 0427.17011Kac, V. G.; Kazhdan, D. A. 127 1979 Fractional Laplacian in conformal geometry. Zbl 1214.26005Chang, Sun-Yung Alice; del Mar González, María 126 2011 Calderón-Zygmund theory for operator-valued kernels. Zbl 0627.42008Rubio de Francia, José L.; Ruiz, Francisco J.; Torrea, José L 126 1986 Bernoulli shifts with the same entropy are isomorphic. Zbl 0197.33502Ornstein, D. 125 1970 Extremal polynomials associated with a system of curves in the complex plane. Zbl 0183.07503Widom, Harold 125 1969 The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry. Zbl 1245.52001Chou, Kai-Seng; Wang, Xu-Jia 122 2006 Parabolic maximal functions associated with a distribution. Zbl 0315.46037Calderon, A. P.; Torchinsky, A. 121 1975 The \(L^p\)-Busemann-Petty centroid inequality. Zbl 1002.52005Campi, S.; Gronchi, P. 120 2002 From racks to pointed Hopf algebras. Zbl 1032.16028Andruskiewitsch, Nicolás; Graña, Matías 119 2003 The Littlewood-Offord problem and invertibility of random matrices. 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Zbl 1446.42028Li, Kangwei; Martell, José María; Ombrosi, Sheldy 5 2020 ...and 1298 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 42,827 Authors 124 Yang, Dachun 89 Sukochev, Fedor Anatol’evich 88 Kac, Victor G. 72 Lu, Guozhen 64 Lusztig, George 64 Wei, Juncheng 59 Jing, Naihuan 57 Futorny, Vyacheslav M. 55 Zaĭtsev, Mikhail Vladimirovich 54 Jørgensen, Palle E. T. 54 Su, Yucai 54 Zhang, James J. 53 Biswas, Indranil 52 Giambruno, Antonio 52 Regev, Amitai 51 Bringmann, Kathrin 51 Colombo, Fabrizio 51 Etingof, Pavel Il’ich 51 Guo, Li 51 Sabadini, Irene 50 Holm, Darryl D. 50 Valdinoci, Enrico 50 Vazquez, Juan Luis 49 Byun, Sun-Sig 49 Dong, Chongying 49 Mazorchuk, Volodymyr 49 Sturmfels, Bernd 49 Van den Bergh, Michel 48 Bergeron, Nantel 48 Rump, Wolfgang 48 Thibon, Jean-Yves 48 Wang, Weidong 47 Vinet, Luc 46 Borodin, Alexei 46 Creutzig, Thomas 46 Schiffler, Ralf 46 Wang, Shuanhong 46 Wu, Jiahong 46 Zhang, Ruibin 45 Dress, Andreas W. 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