## Duke Mathematical Journal

 Short Title: Duke Math. J. Publisher: Duke University Press, Durham, NC; University of North Carolina, Chapel Hill, NC ISSN: 0012-7094; 1547-7398/e Online: http://projecteuclid.org/dmjhttp://www.dukeupress.edu/Catalog/ViewProduct.php?viewby=journal&productid=45608 Comments: Indexed cover-to-cover
 Documents Indexed: 6,934 Publications (since 1935) References Indexed: 2,922 Publications with 73,610 References.
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### Latest Issues

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### Authors

 127 Carlitz, Leonard 39 Boas, Ralph Philip jun. 28 Bellman, Richard Ernest 25 Cohen, Eckford 25 Levinson, Norman 22 Whyburn, Gordon Thomas 22 Wintner, Aurel 18 Bochner, Salomon 17 Hartman, Philip 17 Levine, Jack 17 Widder, David Vernon 16 McShane, Edward James 15 Shimura, Goro 15 Whitney, Hassler 14 Brauer, Alfred 14 Ore, Øystein 14 Pollard, Harry 13 Beckenbach, Edwin Ford 13 Duffin, Richard James 13 Kashiwara, Masaki 13 Roberts, John Henderson 13 Rudin, Walter 13 Ward, Morgan 12 Hille, Einar 12 Kenig, Carlos Eduardo 12 Mac Lane, Leslie Saunders 12 Rado, Tibor 11 Bergman, Stefan 11 Coble, Arthur Byron 11 Hamilton, Hugh J. 11 Hirschman, Isidore Isaac jun. 11 Morse, Marston 11 Sibony, Nessim 11 Simon, Barry 11 Walsh, Joseph Leonard 10 Bell, Philip Osborne 10 Christ, Michael 10 Fornæss, John Erik 10 Harrold, Orville G. jun. 10 Hestenes, Magnus Rudolph 10 Hsiung, Chuan-Chih 10 McCoy, Neal Henry 10 Randels, William Conrad 10 Salem, Raphael 10 Sarnak, Peter Clive 10 Schaeffer, Albert Charles 9 Agnew, Ralph Palmer 9 Birkhoff, Garrett 9 Cameron, Robert Horton 9 Colliot-Thélène, Jean-Louis 9 Etingof, Pavel Il’ich 9 Gould, Henry Wadsworth 9 Halperin, Israel 9 Marcus, Marvin D. 9 Martin, William Ted 9 Nagel, Alexander 9 Riordan, John F. 9 Szasz, Otto 9 Wallace, Alexander Doniphan 9 Wiener, Norbert 8 Baer, Reinhold 8 Bañuelos, Rodrigo 8 Cheng, Min-Teh 8 Erdős, Pál 8 Kaplansky, Irving 8 Klee, Victor LaRue 8 Lehmer, Derrick Henry 8 MacQueen, Marion Lee 8 Michel, Philippe Gabriel 8 Myers, Sumner Byron 8 Pall, Gordon 8 Parker, William Van 8 Pitt, Harry R. 8 Reid, William T. 8 Shohat, James Alexander 8 Tao, Terence 8 Uhlmann, Gunther Alberto 8 Vandiver, Harry Schultz 8 Wade, L. I. 8 Whaples, George 8 Zygmund, Antoni 7 Al-Salam, Waleed A. 7 Ambrose, Warren Arthur 7 Ash, Avner 7 Bernardi, S. D. 7 Browder, Felix Earl 7 Brown, Arthur B. 7 Coxeter, Harold Scott MacDonald 7 Damanik, David 7 Davis, Michael W. 7 Dressel, Francis George 7 Dunford, Nelson 7 Everett, C. J. jun. 7 Frame, J. Sutherland 7 Gilmer, Robert W. jun. 7 Green, Mark Lee 7 Griffiths, Phillip Augustus 7 Halmos, Paul Richard 7 Hedenmalm, Håkan 7 Hewitt, Edwin ...and 5,379 more Authors
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### Fields

 947 Algebraic geometry (14-XX) 887 Number theory (11-XX) 547 Partial differential equations (35-XX) 497 Differential geometry (53-XX) 453 Several complex variables and analytic spaces (32-XX) 368 Topological groups, Lie groups (22-XX) 311 Manifolds and cell complexes (57-XX) 285 Group theory and generalizations (20-XX) 285 Global analysis, analysis on manifolds (58-XX) 252 Dynamical systems and ergodic theory (37-XX) 251 Functions of a complex variable (30-XX) 227 Functional analysis (46-XX) 184 Operator theory (47-XX) 173 Nonassociative rings and algebras (17-XX) 148 Combinatorics (05-XX) 139 Probability theory and stochastic processes (60-XX) 122 Harmonic analysis on Euclidean spaces (42-XX) 120 Quantum theory (81-XX) 112 Algebraic topology (55-XX) 89 Associative rings and algebras (16-XX) 84 Abstract harmonic analysis (43-XX) 79 Commutative algebra (13-XX) 76 Category theory; homological algebra (18-XX) 74 General topology (54-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 66 Special functions (33-XX) 60 Ordinary differential equations (34-XX) 58 $$K$$-theory (19-XX) 58 Measure and integration (28-XX) 58 Potential theory (31-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 50 Convex and discrete geometry (52-XX) 48 Field theory and polynomials (12-XX) 46 Statistical mechanics, structure of matter (82-XX) 37 Real functions (26-XX) 33 Mathematical logic and foundations (03-XX) 33 Integral transforms, operational calculus (44-XX) 31 Geometry (51-XX) 25 Mechanics of particles and systems (70-XX) 23 Fluid mechanics (76-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 17 Approximations and expansions (41-XX) 12 Numerical analysis (65-XX) 11 Sequences, series, summability (40-XX) 9 Difference and functional equations (39-XX) 9 Mechanics of deformable solids (74-XX) 8 Relativity and gravitational theory (83-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Optics, electromagnetic theory (78-XX) 7 Information and communication theory, circuits (94-XX) 6 History and biography (01-XX) 5 Integral equations (45-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General algebraic systems (08-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008
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Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems. Zbl 1146.35038
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Uniform distribution of eigenfunctions on compact hyperbolic surfaces. Zbl 0643.58029
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The stability of solutions of linear differential equations. Zbl 0061.18502
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Perron’s method for Hamilton-Jacobi equations. Zbl 0697.35030
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A generalization of Brouwer’s fixed point theorem. Zbl 0061.40304
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The existence of periodic solutions of systems of differential equations. Zbl 0038.25002
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Orthogonality in linear metric spaces. Zbl 0012.30604
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1935
Classes of solutions of linear systems of partial differential equations of parabolic type. Zbl 0092.31002
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On quantum Galois theory. Zbl 0890.17031
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Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators. Zbl 0644.35012
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Quiver varieties and Kac-Moody algebras. Zbl 0970.17017
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Approximately isometric and multiplicative transformations on continuous function rings. Zbl 0033.37702
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An extension of E. Hopf’s maximum principle with an application to Riemannian geometry. Zbl 0079.11801
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Infinite determinants, stable bundles and curvature. Zbl 0627.53052
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The radius of the essential spectrum. Zbl 0216.41602
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Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations. Zbl 1215.35045
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Mixing, counting, and equidistribution in Lie groups. Zbl 0798.11025
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Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009
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1994
A new ellipsoid associated with convex bodies. Zbl 0974.52008
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Notes on extensions of $$C^*$$-algebras. Zbl 0368.46052
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1977
On level-zero representation of quantized affine algebras. Zbl 1033.17017
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Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
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1992
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A class of operator algebras which are determined by groups. Zbl 0045.38601
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Maximal fields with valuations. Zbl 0063.03135
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1942
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power. Zbl 0808.35141
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1993
The number of integral points on arcs and ovals. Zbl 0718.11048
Bombieri, E.; Pila, J.
1989
Flags, Schubert polynomials, degeneracy loci, and determinantal formulas. Zbl 0788.14044
Fulton, William
1992
A combinatorial formula for the character of the diagonal coinvariants. Zbl 1069.05077
Haglund, J.; Haiman, M.; Loehr, N.; Remmel, J. B.; Ulyanov, A.
2005
Commutative rings with restricted minimum condition. Zbl 0041.36408
Cohen, I. S.
1950
Tug-of-war with noise: a game-theoretic view of the $$p$$-Laplacian. Zbl 1206.35112
Peres, Yuval; Sheffield, Scott
2008
Cuspidality of symmetric powers with applications. Zbl 1074.11027
Kim, Henry H.; Shahidi, Freydoon
2002
Symplectic homology of convex domains and Clarke’s duality. Zbl 07500562
Abbondandolo, Alberto; Kang, Jungsoo
2022
Anderson-Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle. Zbl 07500552
Li, Linjun; Zhang, Lingfu
2022
Optimal Liouville theorems for superlinear parabolic problems. Zbl 1469.35071
Quittner, Pavol
2021
Singular moduli for real quadratic fields: a rigid analytic approach. Zbl 07322634
Darmon, Henri; Vonk, Jan
2021
Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras. Zbl 07433911
Ma, Linquan; Schwede, Karl
2021
Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay. Zbl 1475.30104
Li, Jialun; Naud, Frédéric; Pan, Wenyu
2021
How much can the eigenvalues of a random Hermitian matrix fluctuate? Zbl 1467.60006
Claeys, T.; Fahs, B.; Lambert, G.; Webb, C.
2021
Log-concave polynomials, I: entropy and a deterministic approximation algorithm for counting bases of matroids. Zbl 07442560
Anari, Nima; Gharan, Shayan Oveis; Vinzant, Cynthia
2021
The complete classification of unital graph $$C^{\ast}$$-algebras: geometric and strong. Zbl 1476.46064
Eilers, Søren; Restorff, Gunnar; Ruiz, Efren; Sørensen, Adam P. W.
2021
On the singularity of random symmetric matrices. Zbl 1467.60005
Campos, Marcelo; Mattos, Letícia; Morris, Robert; Morrison, Natasha
2021
Joint distribution of spins. Zbl 1478.11109
Koymans, Peter; Milovic, Djordjo
2021
The $$\operatorname{arc}$$-topology. Zbl 1478.14036
Bhatt, Bhargav; Mathew, Akhil
2021
Triple product $$p$$-adic $$L$$-functions associated to finite slope $$p$$-adic families of modular forms. Zbl 07369865
2021
Symmetry in stationary and uniformly rotating solutions of active scalar equations. Zbl 1478.35013
Gómez-Serrano, Javier; Park, Jaemin; Shi, Jia; Yao, Yao
2021
A vanishing Ext-branching theorem for $$(\mathrm{GL}_{n+1}(F),\mathrm{GL}_n(F)$$. Zbl 07397542
Chan, Kei Yuen; Savin, Gordan
2021
Convergence of loop-erased random walk in the natural parameterization. Zbl 07397544
Lawler, Gregory F.; Viklund, Fredrik
2021
On the $$t$$-adic Littlewood conjecture. Zbl 1478.11093
Adiceam, Faustin; Nesharim, Erez; Lunnon, Fred
2021
Codimension $$1$$ foliations with numerically trivial canonical class on singular spaces. Zbl 1470.14009
Druel, Stéphane
2021
Noncommutative maximal ergodic inequalities associated with doubling conditions. Zbl 1471.46062
Hong, Guixiang; Liao, Ben; Wang, Simeng
2021
Functorial transfer between relative trace formulas in rank $$1$$. Zbl 1468.11117
Sakellaridis, Yiannis
2021
Kakutani equivalence of unipotent flows. Zbl 1480.37006
Kanigowski, Adam; Vinhage, Kurt; Wei, Daren
2021
Local limit theorem in negative curvature. Zbl 1476.37055
Ledrappier, François; Lim, Seonhee
2021
Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations. Zbl 07442561
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan
2021
Actions of Cremona groups on CAT$$(0)$$ cube complexes. Zbl 07467775
Lonjou, Anne; Urech, Christian
2021
Higher Hida theory and $$p$$-adic $$L$$-functions for $$\mathrm{GSp}_4$$. Zbl 07467789
Loeffler, David; Pilloni, Vincent; Skinner, Christopher; Zerbes, Sarah Livia
2021
Toric braids and $$(m,n)$$-parking functions. Zbl 1481.05011
Mellit, Anton
2021
Linear subspaces of hypersurfaces. Zbl 1482.14013
Beheshti, Roya; Riedl, Eric
2021
Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. Zbl 1473.35040
Bouclet, Jean-Marc; Burq, Nicolas
2021
A new proof of the Jacquet-Rallis fundamental Lemma. Zbl 07397557
Beuzart-Plessis, Raphaël
2021
Integral $$p$$-adic étale cohomology of Drinfeld symmetric spaces. Zbl 07369837
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława
2021
Bernoulli disjointness. Zbl 1481.37009
Glasner, Eli; Tsankov, Todor; Weiss, Benjamin; Zucker, Andy
2021
On the remainder term of the Weyl law for congruence subgroups of Chevalley groups. Zbl 1472.11159
Finis, Tobias; Lapid, Erez
2021
Higher-genus wall-crossing in the gauged linear sigma model. Zbl 1481.14085
Clader, Emily; Janda, Felix; Ruan, Yongbin
2021
Quasiflats in hierarchically hyperbolic spaces. Zbl 07369844
Behrstock, Jason; Hagen, Mark F.; Sisto, Alessandro
2021
Small-scale creation for solutions of the SQG equation. Zbl 1473.35579
He, Siming; Kiselev, Alexander
2021
Integral quantum cluster structures. Zbl 1478.13036
Goodearl, K. R.; Yakimov, M. T.
2021
Dynamical convexity and closed orbits on symmetric spheres. Zbl 1477.37068
Ginzburg, Viktor L.; Macarini, Leonardo
2021
Special Lagrangian submanifolds of log Calabi-Yau manifolds. Zbl 1479.14046
Collins, Tristan C.; Jacob, Adam; Lin, Yu-Shen
2021
Macaulayfication of Noetherian schemes. Zbl 1474.14026
Česnavičius, Kęstutis
2021
On the residue method for period integrals. Zbl 1473.11104
Pollack, Aaron; Wan, Chen; Zydor, Michał
2021
Limits of Blaschke metrics. Zbl 1475.30102
Ouyang, Charles; Tamburelli, Andrea
2021
The embedded Calabi-Yau conjecture for finite genus. Zbl 07433912
Meeks, William H. III; Pérez, Joaquín; Ros, Antonio
2021
Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces. Zbl 07442549
Lott, John
2021
Complete noncompact $$\mathrm{G}_2$$-manifolds from asymptotically conical Calabi-Yau $$3$$-folds. Zbl 07442556
Foscolo, Lorenzo; Haskins, Mark; Nordström, Johannes
2021
Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds. Zbl 07442557
Edwards, Sam; Oh, Hee
2021
Uniqueness of asymptotically conical tangent flows. Zbl 07442562
Chodosh, Otis; Schulze, Felix
2021
Random polynomials: central limit theorems for the real roots. Zbl 1482.60041
Nguyen, Oanh; Vu, Van
2021
Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms. Zbl 07467777
Damjanović, Danijela; Wilkinson, Amie; Xu, Disheng
2021
On the compactness problem for a family of generalized Seiberg-Witten equations in dimension $$3$$. Zbl 07467778
Walpuski, Thomas; Zhang, Boyu
2021
Invertibility of adjacency matrices for random $$d$$-regular graphs. Zbl 07467788
Huang, Jiaoyang
2021
Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy. Zbl 1437.35617
Bilman, Deniz; Ling, Liming; Miller, Peter D.
2020
Mean field limit for Coulomb-type flows. Zbl 1475.35341
Serfaty, Sylvia
2020
A variational method for $$\Phi^4_3$$. Zbl 07292332
Barashkov, N.; Gubinelli, M.
2020
Lower tail of the KPZ equation. Zbl 1457.35096
Corwin, Ivan; Ghosal, Promit
2020
Symmetric Mahler’s conjecture for the volume product in the $$3$$-dimensional case. Zbl 1439.52007
Iriyeh, Hiroshi; Shibata, Masataka
2020
The Fyodorov-Bouchaud formula and Liouville conformal field theory. Zbl 1465.60032
Remy, Guillaume
2020
The rank of Mazur’s Eisenstein ideal. Zbl 1445.11045
Wake, Preston; Wang-Erickson, Carl
2020
Existence of phase transition for percolation using the Gaussian free field. Zbl 1470.60275
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran; Severo, Franco; Yadin, Ariel
2020
Invariant means and the structure of inner amenable groups. Zbl 1458.37043
Tucker-Drob, Robin D.
2020
Deviation inequalities for random walks. Zbl 1465.60038
Mathieu, P.; Sisto, A.
2020
Higher coherent cohomology and $$p$$-adic modular forms of singular weights. Zbl 1481.11051
Pilloni, V.
2020
Ising model and the positive orthogonal Grassmannian. Zbl 1446.82008
Galashin, Pavel; Pylyavskyy, Pavlo
2020
Birational superrigidity and $$K$$-stability of Fano complete intersections of index $$1$$. Zbl 1456.14050
Zhuang, Ziquan
2020
Equivariant $$K$$-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula. Zbl 1475.17024
Kato, Syu; Naito, Satoshi; Sagaki, Daisuke
2020
On the nonlinear Brascamp-Lieb inequality. Zbl 1455.42024
Bennett, Jonathan; Bez, Neal; Buschenhenke, Stefan; Cowling, Michael G.; Flock, Taryn C.
2020
Canonical parameterizations of metric disks. Zbl 1451.30118
Lytchak, Alexander; Wenger, Stefan
2020
The density of rational points near hypersurfaces. Zbl 1458.11115
Huang, Jing-Jing
2020
The limit shape of convex hull peeling. Zbl 1455.35047
Calder, Jeff; Smart, Charles K.
2020
Proper affine actions for right-angled Coxeter groups. Zbl 07292308
Danciger, Jeffrey; Guéritaud, François; Kassel, Fanny
2020
Crystals and monodromy of Bethe vectors. Zbl 1468.17013
Halacheva, Iva; Kamnitzer, Joel; Rybnikov, Leonid; Weekes, Alex
2020
Analytic Bergman operators in the semiclassical limit. Zbl 1469.32003
Rouby, Ophélie; Sjöstrand, Johannes; Vũ Ngọc San
2020
Tannakian categories in positive characteristic. Zbl 1458.18008
Coulembier, Kevin
2020
On the analogy between real reductive groups and Cartan motion groups: contraction of irreducible tempered representations. Zbl 1441.22024
Afgoustidis, Alexandre
2020
Explicit equations of a fake projective plane. Zbl 1475.14070
Borisov, Lev A.; Keum, Jonghae
2020
The Fourier expansion of modular forms on quaternionic exceptional groups. Zbl 1481.11043
Pollack, Aaron
2020
A proof of the multiplicity 1 conjecture for min-max minimal surfaces in arbitrary codimension. Zbl 1468.49045
Pigati, Alessandro; Rivière, Tristan
2020
The nonequivariant coherent-constructible correspondence for toric stacks. Zbl 1461.53064
Kuwagaki, Tatsuki
2020
The extended Bogomolny equations with generalized Nahm pole boundary conditions, II. Zbl 07292309
He, Siqi; Mazzeo, Rafe
2020
Chern-Simons functional and the homology cobordism group. Zbl 1480.57036
Daemi, Aliakbar
2020
Mod $$p$$ isogeny classes on Shimura varieties with parahoric level structure. Zbl 1469.11201
Zhou, Rong
2020
Quantum unique ergodicity for half-integral weight automorphic forms. Zbl 1441.11107
2020
Differentials on the arc space. Zbl 1465.14019
de Fernex, Tommaso; Docampo, Roi
2020
Diagonal actions in positive characteristic. Zbl 1458.37039
Einsiedler, Manfred; Lindenstrauss, Elon; Mohammadi, Amir
2020
Exceptional splitting of reductions of abelian surfaces. Zbl 07198458
Shankar, Ananth N.; Tang, Yunqing
2020
Irreducible polynomials of bounded height. Zbl 1447.11112
2020
A McKay correspondence for reflection groups. Zbl 1451.14043
Buchweitz, Ragnar-Olaf; Faber, Eleonore; Ingalls, Colin
2020
Minimal modularity lifting for nonregular symplectic representations. Zbl 1441.11133
Calegari, Frank; Geraghty, David
2020
An automorphic generalization of the Hermite-Minkowski theorem. Zbl 1450.11047
Chenevier, Gaëtan
2020
Galois action on universal covers of Kodaira fibrations. Zbl 1442.32024
González-Diez, Gabino
2020
Regularity of optimal transport between planar convex domains. Zbl 1440.35118
Savin, Ovidiu; Yu, Hui
2020
Nonnegativity of the CR Paneitz operator for embeddable CR manifolds. Zbl 1460.32082
Takeuchi, Yuya
2020
On sharp rates and analytic compactifications of asymptotically conical Kähler metrics. Zbl 1447.32018
Li, Chi
2020
Arithmeticity of discrete subgroups containing horospherical lattices. Zbl 1440.22019
Benoist, Yves; Miquel, Sébastien
2020
Uniqueness of the blowup at isolated singularities for the Alt-Caffarelli functional. Zbl 1448.35583
Engelstein, Max; Spolaor, Luca; Velichkov, Bozhidar
2020
The Noether inequality for algebraic $$3$$-folds. With an appendix by János Kollár. Zbl 1454.14032
Chen, Jungkai A.; Chen, Meng; Jiang, Chen
2020
Integral and rational mapping classes. Zbl 07226653
Manin, Fedor; Weinberger, Shmuel
2020
On the Hitchin morphism for higher-dimensional varieties. Zbl 1448.14014
Chen, T. H.; Ngô, B. C.
2020
Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations. Zbl 1457.14079
Chen, Xuemiao; Sun, Song
2020
On the connected components of affine Deligne-Lusztig varieties. Zbl 1468.14052
He, Xuhua; Zhou, Rong
2020
Algebraic approximations of compact Kähler manifolds of algebraic codimension $$1$$. Zbl 1471.32012
Lin, Hsueh-Yung
2020
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### Cited by 45,104 Authors

 145 Wei, Juncheng 100 Biswas, Indranil 90 Yang, Dachun 74 Kenig, Carlos Eduardo 73 Byun, Sun-Sig 70 Simon, Barry 69 Shparlinski, Igor E. 65 Srivastava, Hari Mohan 61 Bourgain, Jean 60 Tao, Terence 58 Uhlmann, Gunther Alberto 57 Gesztesy, Fritz 56 Dong, Chongying 56 Kashiwara, Masaki 55 Bringmann, Kathrin 51 Ballico, Edoardo 50 Kim, Taekyun 50 Lin, Chang-Shou 49 Osękowski, Adam 49 Vega, Luis 48 Damanik, David 46 Li, Haisheng 46 Lu, Guozhen 46 Musso, Monica 46 Zelditch, Steve 44 Kang, Seok-Jin 44 Merle, Frank 44 Sogge, Christopher D. 42 Mitrea, Marius 42 Tataru, Daniel 41 Carlitz, Leonard 41 Carrillo de la Plata, José Antonio 41 Del Pino, Manuel A. 41 Lin, Huaxin 40 Colliot-Thélène, Jean-Louis 40 Forrester, Peter J. 40 Guliyev, Vagif Sabir 40 Sain, Debmalya 40 Vasy, András 39 Ambrosio, Luigi 39 Helffer, Bernard 38 Lam, Ching Hung 37 Chtioui, Hichem 37 Etingof, Pavel Il’ich 37 Li, YanYan 37 Ponce, Gustavo 36 Figalli, Alessio 36 Krantz, Steven George 36 Mingione, Giuseppe 36 Oh, Tadahiro 36 Ozawa, Tohru 36 Rossi, Julio Daniel 36 Xiao, Jie 35 Agarwal, Ravi P. 35 Birkenmeier, Gary Francis 35 Himonas, A. Alexandrou 35 Lee, Sanghyuk 35 Rump, Wolfgang 35 Ruzhansky, Michael V. 34 Abreu-Blaya, Ricardo 34 Jørgensen, Palle E. T. 34 Zheng, Shenzhou 33 Bory Reyes, Juan 33 Chu, Wenchang 33 Ciliberto, Ciro 33 Hofmann, Steve 33 Miao, Changxing 33 Zaag, Hatem 32 Bañuelos, Rodrigo 32 Borodin, Alexei 32 Creutzig, Thomas 32 Dimca, Alexandru 32 Forstnerič, Franc 32 Lu, Guangshi 32 Maz’ya, Vladimir Gilelevich 32 Raphael, Pierre 32 Sarnak, Peter Clive 32 Schilling, Anne 32 Scrimshaw, Travis 32 Soto, Ricardo Lorenzo 32 Véron, Laurent 32 Yang, Yunyan 31 Adamović, Dražen 31 Ash, Avner 31 Blomer, Valentin 31 Chen, Jiecheng 31 Gee, Toby 31 Ginzburg, David 31 Jespers, Eric 31 Kappeler, Thomas 31 Malchiodi, Andrea 31 Miller, Jason P. 31 Verbitsky, Misha 30 Arakawa, Tomoyuki 30 Christ, Michael 30 Duong, Xuan Thinh 30 Kwon, Jae-Hoon 30 Moussavi, Ahmad 30 Oh, Hee 30 Ono, Ken ...and 45,004 more Authors
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### Cited in 1,110 Journals

 2,906 Transactions of the American Mathematical Society 2,395 Proceedings of the American Mathematical Society 2,088 Advances in Mathematics 1,863 Journal of Mathematical Analysis and Applications 1,662 Journal of Functional Analysis 1,509 Journal of Algebra 1,507 Duke Mathematical Journal 1,506 Mathematische Annalen 1,443 Mathematische Zeitschrift 1,390 Communications in Mathematical Physics 1,014 Journal of Differential Equations 961 Inventiones Mathematicae 896 Journal of Number Theory 729 Annales de l’Institut Fourier 724 Journal of Mathematical Physics 716 Compositio Mathematica 665 Israel Journal of Mathematics 664 Topology and its Applications 658 The Journal of Geometric Analysis 646 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 633 Linear Algebra and its Applications 621 Communications in Partial Differential Equations 615 Journal of Pure and Applied Algebra 572 Communications in Algebra 543 Manuscripta Mathematica 508 Calculus of Variations and Partial Differential Equations 453 Journal für die Reine und Angewandte Mathematik 440 Journal of Geometry and Physics 434 Archiv der Mathematik 426 Journal d’Analyse Mathématique 425 Bulletin of the American Mathematical Society 413 Comptes Rendus. Mathématique. Académie des Sciences, Paris 397 Archive for Rational Mechanics and Analysis 394 Journal of Approximation Theory 388 Geometriae Dedicata 385 International Journal of Mathematics 371 Annali di Matematica Pura ed Applicata. Serie Quarta 359 Mathematical Notes 358 Journal of the American Mathematical Society 355 Selecta Mathematica. New Series 352 Geometry & Topology 339 Journal of Combinatorial Theory. Series A 332 Tohoku Mathematical Journal. Second Series 332 Journal of the European Mathematical Society (JEMS) 316 Journal of High Energy Physics 308 Algebraic & Geometric Topology 305 Monatshefte für Mathematik 304 Journal of Mathematical Sciences (New York) 303 Discrete and Continuous Dynamical Systems 300 Discrete Mathematics 300 Journal de Mathématiques Pures et Appliquées. Neuvième Série 298 Letters in Mathematical Physics 287 Bulletin of the Australian Mathematical Society 287 Annals of Mathematics. Second Series 282 Mathematical Proceedings of the Cambridge Philosophical Society 280 Geometric and Functional Analysis. GAFA 273 Ergodic Theory and Dynamical Systems 271 Rocky Mountain Journal of Mathematics 260 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 260 Acta Mathematica Sinica. English Series 259 Acta Mathematica 254 Bulletin of the American Mathematical Society. New Series 253 International Journal of Number Theory 244 Nagoya Mathematical Journal 238 Science China. Mathematics 231 Differential Geometry and its Applications 227 Journal of Statistical Physics 224 The Ramanujan Journal 223 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 215 Journal of Computational and Applied Mathematics 215 Journal of Inequalities and Applications 213 Transformation Groups 213 Communications in Contemporary Mathematics 212 Mathematics of Computation 209 Forum Mathematicum 208 Rendiconti del Circolo Matemàtico di Palermo. Serie II 207 Probability Theory and Related Fields 206 Arkiv för Matematik 205 Annales Henri Poincaré 200 Integral Equations and Operator Theory 199 The Annals of Probability 198 Czechoslovak Mathematical Journal 198 Journal of Algebraic Combinatorics 197 Journal de Théorie des Nombres de Bordeaux 194 The Journal of Fourier Analysis and Applications 190 Mathematische Nachrichten 187 Journal of Soviet Mathematics 187 Revista Matemática Iberoamericana 187 Journal of the Institute of Mathematics of Jussieu 180 Memoirs of the American Mathematical Society 180 Proceedings of the Japan Academy. Series A 180 Journal of Algebraic Geometry 179 Journal of the Australian Mathematical Society 176 Publications of the Research Institute for Mathematical Sciences, Kyoto University 176 Journal of Knot Theory and its Ramifications 175 Annals of Global Analysis and Geometry 174 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 173 Advances in Applied Mathematics 171 Nuclear Physics. B 170 Applied Mathematics and Computation ...and 1,010 more Journals
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### Cited in 63 Fields

 12,131 Partial differential equations (35-XX) 9,633 Algebraic geometry (14-XX) 8,849 Number theory (11-XX) 6,641 Differential geometry (53-XX) 5,467 Functional analysis (46-XX) 4,727 Operator theory (47-XX) 4,354 Several complex variables and analytic spaces (32-XX) 4,277 Group theory and generalizations (20-XX) 3,848 Global analysis, analysis on manifolds (58-XX) 3,846 Dynamical systems and ergodic theory (37-XX) 3,691 Combinatorics (05-XX) 3,546 Quantum theory (81-XX) 3,493 Harmonic analysis on Euclidean spaces (42-XX) 3,331 Manifolds and cell complexes (57-XX) 3,291 Nonassociative rings and algebras (17-XX) 3,283 Probability theory and stochastic processes (60-XX) 3,210 Topological groups, Lie groups (22-XX) 3,193 Functions of a complex variable (30-XX) 2,562 Associative rings and algebras (16-XX) 1,858 Commutative algebra (13-XX) 1,768 General topology (54-XX) 1,718 Linear and multilinear algebra; matrix theory (15-XX) 1,712 Ordinary differential equations (34-XX) 1,666 Special functions (33-XX) 1,534 Calculus of variations and optimal control; optimization (49-XX) 1,411 Statistical mechanics, structure of matter (82-XX) 1,410 Category theory; homological algebra (18-XX) 1,408 Convex and discrete geometry (52-XX) 1,344 Algebraic topology (55-XX) 1,319 Real functions (26-XX) 1,274 Numerical analysis (65-XX) 1,131 Measure and integration (28-XX) 1,124 Abstract harmonic analysis (43-XX) 1,024 Approximations and expansions (41-XX) 984 Fluid mechanics (76-XX) 953 Potential theory (31-XX) 877 Order, lattices, ordered algebraic structures (06-XX) 825 Mathematical logic and foundations (03-XX) 689 $$K$$-theory (19-XX) 673 Computer science (68-XX) 623 Field theory and polynomials (12-XX) 581 Difference and functional equations (39-XX) 580 Operations research, mathematical programming (90-XX) 567 Statistics (62-XX) 543 Relativity and gravitational theory (83-XX) 535 Integral transforms, operational calculus (44-XX) 486 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 446 Mechanics of deformable solids (74-XX) 445 Geometry (51-XX) 394 Integral equations (45-XX) 380 Information and communication theory, circuits (94-XX) 361 Systems theory; control (93-XX) 351 Mechanics of particles and systems (70-XX) 345 Sequences, series, summability (40-XX) 331 Biology and other natural sciences (92-XX) 265 Optics, electromagnetic theory (78-XX) 247 History and biography (01-XX) 196 General algebraic systems (08-XX) 127 General and overarching topics; collections (00-XX) 78 Geophysics (86-XX) 74 Classical thermodynamics, heat transfer (80-XX) 28 Astronomy and astrophysics (85-XX) 5 Mathematics education (97-XX)