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: 7,929 Publications (since 1961) References Indexed: 7,528 Publications with 221,906 References. all top 5 Latest Issues 418 (2023) 417 (2023) 416 (2023) 415 (2023) 414 (2023) 413 (2023) 412 (2023) 411 A (2022) 410 B (2022) 410 A (2022) 409 B (2022) 409 A (2022) 408 B (2022) 408 A (2022) 407 (2022) 406 (2022) 405 (2022) 404, Part B (2022) 404, Part A (2022) 403 (2022) 402 (2022) 401 (2022) 400 (2022) 399 (2022) 398 (2022) 397 (2022) 396 (2022) 395 (2022) 394 (2022) 393 (2021) 392 (2021) 391 (2021) 390 (2021) 389 (2021) 388 (2021) 387 (2021) 386 (2021) 385 (2021) 384 (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) ...and 546 more Volumes all top 5 Authors 29 Kac, Victor G. 24 Dress, Andreas W. M. 21 Guillemin, Victor W. 21 Sukochev, Fedor Anatol’evich 20 Lusztig, George 17 Milne, Stephen C. 15 Etingof, Pavel Il’ich 15 Reiten, Idun 14 Bringmann, Kathrin 14 Todorcevic, Stevo B. 13 Katzarkov, Ludmil 13 Kawai, Takahiro 12 Gel’fand, Israil’ Moiseevich 12 Iyama, Osamu 12 Joyce, Dominic David 12 Ornstein, Donald Samuel 12 Shelah, Saharon 12 Van den Bergh, Michel 12 Yu, Guoliang 12 Zhang, James J. 11 Andrews, George Eyre 11 Chen, Wenxiong 11 Derksen, Harm 11 Fefferman, Charles Louis 11 Fröhlich, Jürg Martin 11 He, Xuhua 11 Koldobsky, Alexander L. 11 Lau, Kasing 11 Lu, Guozhen 11 Procesi, Claudio 11 Xiao, Jie 10 Berndt, Bruce Carl 10 Córdoba Barba, Antonio Juan 10 De Concini, Corrado 10 Ono, Ken 10 Tiep Pham Huu 10 Varchenko, Alexander Nikolaevich 10 Werner, Elisabeth M. 10 Xin, Zhouping 10 Zaharescu, Alexandru 10 Zelevinskiĭ, Andreĭ V. 9 Auslander, Maurice 9 Berenstein, Arkady 9 Borisov, Lev A. 9 Böröczky, Karoly jun. 9 Brooks, James K. 9 Friedman, Harvey M. 9 Garner, Richard 9 Garsia, Adriano M. 9 Gilkey, Peter B. 9 Ginzburg, Victor 9 Kapranov, Mikhail M. 9 Kock, Joachim 9 Mauldin, Richard Daniel 9 Nakano, Daniel K. 9 Stein, Elias Menachem 9 Takei, Yoshitsugu 9 Terao, Hiroaki 9 Toda, Yukinobu 9 Vũ Hà Văn 9 Weyman, Jerzy M. 9 Williams, Lauren K. 8 Baez, John C. 8 Bárány, Imre 8 Beresnevich, Victor V. 8 Biswas, Indranil 8 Borodin, Alexei 8 Buchsbaum, David A. 8 Cao, Yalong 8 Feng, De-Jun 8 Gardner, Richard J. 8 Guralnick, Robert Michael 8 Hua, Bobo 8 Kazhdan, David A. 8 Kobayashi, Toshiyuki 8 Lieb, Elliott Hershel 8 Ludwig, Monika 8 Lutwak, Erwin 8 Moerdijk, Ieke 8 Nazarov, Fedor L. 8 Pollicott, Mark 8 Rota, Gian-Carlo 8 Simon, Barry 8 Stembridge, John R. 8 Sturmfels, Bernd 8 Thibon, Jean-Yves 8 Volberg, Alexander Lvovich 7 Alesker, Semyon 7 Aljadeff, Eli 7 Braverman, Alexander 7 Chacon, Rafael V. S. 7 Chae, Dongho 7 Colesanti, Andrea 7 Creutzig, Thomas 7 Dong, Chongying 7 Dong, Hongjie 7 Eisenbud, David 7 Fisk, Steve 7 Goncharov, Alexander Borisovich 7 Guo, Li ...and 8,757 more Authors all top 5 Fields 1,485 Algebraic geometry (14-XX) 922 Differential geometry (53-XX) 903 Group theory and generalizations (20-XX) 807 Combinatorics (05-XX) 736 Partial differential equations (35-XX) 655 Functional analysis (46-XX) 650 Nonassociative rings and algebras (17-XX) 646 Associative rings and algebras (16-XX) 639 Number theory (11-XX) 629 Category theory; homological algebra (18-XX) 494 Several complex variables and analytic spaces (32-XX) 485 Convex and discrete geometry (52-XX) 460 Manifolds and cell complexes (57-XX) 460 Global analysis, analysis on manifolds (58-XX) 457 Dynamical systems and ergodic theory (37-XX) 437 Algebraic topology (55-XX) 406 Commutative algebra (13-XX) 392 Topological groups, Lie groups (22-XX) 370 Operator theory (47-XX) 305 Measure and integration (28-XX) 290 Probability theory and stochastic processes (60-XX) 282 Quantum theory (81-XX) 257 Mathematical logic and foundations (03-XX) 257 Functions of a complex variable (30-XX) 251 Harmonic analysis on Euclidean spaces (42-XX) 207 Linear and multilinear algebra; matrix theory (15-XX) 206 \(K\)-theory (19-XX) 202 Special functions (33-XX) 149 Order, lattices, ordered algebraic structures (06-XX) 139 Real functions (26-XX) 137 General topology (54-XX) 132 Abstract harmonic analysis (43-XX) 113 Fluid mechanics (76-XX) 112 Geometry (51-XX) 107 Ordinary differential equations (34-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 89 Statistical mechanics, structure of matter (82-XX) 78 Field theory and polynomials (12-XX) 74 Computer science (68-XX) 73 Potential theory (31-XX) 52 Approximations and expansions (41-XX) 50 Integral transforms, operational calculus (44-XX) 34 Difference and functional equations (39-XX) 33 Information and communication theory, circuits (94-XX) 29 General algebraic systems (08-XX) 26 Mechanics of particles and systems (70-XX) 24 Numerical analysis (65-XX) 23 Operations research, mathematical programming (90-XX) 20 Biology and other natural sciences (92-XX) 19 Integral equations (45-XX) 18 Statistics (62-XX) 18 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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 History and biography (01-XX) 7 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 4 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 6,972 Publications have been cited 124,026 times in 82,492 Documents Cited by ▼ Year ▼ Lie superalgebras. 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Zbl 0497.15020Akin, Kaan; Buchsbaum, David A.; Weyman, Jerzy 177 1982 A characteristic free approach to invariant theory. Zbl 0347.20025de Concini, C.; Procesi, C. 176 1976 A new theory of regular functions of a quaternionic variable. Zbl 1124.30015Gentili, Graziano; Struppa, Daniele C. 175 2007 Sur certaines martingales de Benoit Mandelbrot. Zbl 0349.60051Kahane, J.-P.; Peyriere, J. 174 1976 A duality for symmetric spaces with applications to group representations. Zbl 0209.25403Helgason, S. 168 1970 Cohen-Macaulay quotients of polynomial rings. Zbl 0345.13017Reisner, Gerald Allen 168 1976 Exponential codimension growth of PI algebras: an exact estimate. Zbl 0920.16013Giambruno, A.; Zaicev, M. 166 1999 The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry. Zbl 1245.52001Chou, Kai-Seng; Wang, Xu-Jia 165 2006 Analytic torsion and R-torsion of Riemannian manifolds. Zbl 0395.57011Müller, Werner 165 1978 Hopf algebra of the planar binary trees. Zbl 0926.16032Loday, Jean-Louis; Ronco, María O. 163 1998 A multifractal formalism. Zbl 0841.28012Olsen, L. 163 1995 Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay. Zbl 0289.14010Hochster, Melvin; Roberts, Joel L. 163 1974 Topological planes. Zbl 0153.21601Salzmann, Helmut R. 160 1967 Fractional Laplacian in conformal geometry. Zbl 1214.26005Chang, Sun-Yung Alice; del Mar González, María 158 2011 Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories. Zbl 1115.16005Iyama, Osamu 157 2007 The complexity of the word problems for commutative semigroups and polynomial ideals. Zbl 0506.03007Mayr, Ernst W.; Meyer, Albert R. 155 1982 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 155 1994 The Littlewood-Offord problem and invertibility of random matrices. Zbl 1139.15015Rudelson, Mark; Vershynin, Roman 154 2008 Einstein metrics with prescribed conformal infinity on the ball. Zbl 0765.53034Graham, C. Robin; Lee, John M. 154 1991 Nonintersecting paths, pfaffians, and plane partitions. Zbl 0790.05007Stembridge, John R. 153 1990 The even Orlicz Minkowski problem. Zbl 1198.52003Haberl, Christoph; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 152 2010 Calderón-Zygmund theory for operator-valued kernels. Zbl 0627.42008Rubio de Francia, José L.; Ruiz, Francisco J.; Torrea, José L 149 1986 Best constants in Young’s inequality, its converse, and its generalization to more than three functions. Zbl 0339.26020Brascamp, Herm Jan; Lieb, Elliott H. 149 1976 Nagumo’s equation. Zbl 0202.16203McKean, H. P. jun. 148 1970 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. 147 1984 Orlicz projection bodies. Zbl 1437.52006Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 147 2010 On codimension growth of finitely generated associative algebras. Zbl 0920.16012Giambruno, A.; Zaicev, M. 147 1998 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 145 1998 A symmetric function generalization of the chromatic polynomial of a graph. Zbl 0831.05027Stanley, Richard P. 145 1995 The discrete planar \(L_0\)-Minkowski problem. Zbl 1005.52002Stancu, Alina 141 2002 From racks to pointed Hopf algebras. Zbl 1032.16028Andruskiewitsch, Nicolás; Graña, Matías 141 2003 Singular integrals on product spaces. Zbl 0517.42024Fefferman, Robert; Stein, Elias M. 140 1982 Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017Erdős, László; Yau, Horng-Tzer; Yin, Jun 140 2012 A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin 139 1998 Bernoulli shifts with the same entropy are isomorphic. Zbl 0197.33502Ornstein, D. 139 1970 Completely integrable systems, Euclidean Lie algebras, and curves. Zbl 0455.58017Adler, M.; Van Moerbeke, P. 138 1980 A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Zbl 1048.26010Cordero-Erausquin, D.; Nazaret, B.; Villani, C. 138 2004 Parabolic maximal functions associated with a distribution. Zbl 0315.46037Calderon, A. P.; Torchinsky, A. 138 1975 An endomorphism of the Khovanov invariant. Zbl 1080.57015Lee, Eun Soo 137 2005 The log-Brunn-Minkowski inequality. Zbl 1258.52005Böröczky, Károly jun.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 137 2012 Constraints in the BV formalism: six-dimensional supersymmetry and its twists. Zbl 07637373Saberi, Ingmar; Williams, Brian R. 1 2023 Adjoint functor theorems for homotopically enriched categories. 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Zbl 1486.42042Fanelli, Luca; Zhang, Junyong; Zheng, Jiqiang 1 2022 ...and 1198 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 48,554 Authors 141 Yang, Dachun 102 Sukochev, Fedor Anatol’evich 93 Kac, Victor G. 88 Lu, Guozhen 68 Wei, Juncheng 67 Jing, Naihuan 66 Lusztig, George 61 Futorny, Vyacheslav M. 60 Rump, Wolfgang 59 Biswas, Indranil 59 Guo, Li 59 Sabadini, Irene 58 Creutzig, Thomas 58 Etingof, Pavel Il’ich 58 Wang, Weidong 58 Wu, Jiahong 57 Bringmann, Kathrin 57 Valdinoci, Enrico 57 Zaĭtsev, Mikhail Vladimirovich 56 Holm, Darryl Dallas 56 Zhang, James J. 55 Byun, Sun-Sig 55 Colombo, Fabrizio 55 Giambruno, Antonio 55 Jørgensen, Palle E. T. 55 Vazquez, Juan Luis 54 Guo, Victor J. 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