American Mathematical MonthlyAn Official Publication of the Mathematical Association of America Short Title: Am. Math. Mon. Publisher: Mathematical Association of America (MAA), Washington, D.C.; Taylor & Francis, Abingdon, Oxfordshire ISSN: 0002-9890 Online: https://www.tandfonline.com/loi/uamm20http://www.ingentaconnect.com/content/maa/ammhttp://www.maa.org/pubs/monthly.htmlhttp://www.jstor.org/action/showPublication?journalCode=amermathmont Comments: Journal; Indexed cover-to-cover; Journal abbreviations vary in sources Documents Indexed: 10,403 Publications (since 1895) References Indexed: 828 Publications with 9,526 References. all top 5 Latest Issues 131, No. 2 (2024) 131, No. 1 (2024) 130, No. 10 (2023) 130, No. 9 (2023) 130, No. 8 (2023) 130, No. 7 (2023) 130, No. 6 (2023) 130, No. 5 (2023) 130, No. 4 (2023) 130, No. 3 (2023) 130, No. 2 (2023) 130, No. 1 (2023) 129, No. 10 (2022) 129, No. 9 (2022) 129, No. 8 (2022) 129, No. 7 (2022) 129, No. 6 (2022) 129, No. 5 (2022) 129, No. 4 (2022) 129, No. 3 (2022) 129, No. 2 (2022) 129, No. 1 (2022) 128, No. 10 (2021) 128, No. 9 (2021) 128, No. 8 (2021) 128, No. 7 (2021) 128, No. 6 (2021) 128, No. 5 (2021) 128, No. 4 (2021) 128, No. 3 (2021) 128, No. 2 (2021) 128, No. 1 (2021) 127, No. 10 (2020) 127, No. 9 (2020) 127, No. 8 (2020) 127, No. 7 (2020) 127, No. 6 (2020) 127, No. 5 (2020) 127, No. 4 (2020) 127, No. 3 (2020) 127, No. 2 (2020) 127, No. 1 (2020) 126, No. 10 (2019) 126, No. 9 (2019) 126, No. 8 (2019) 126, No. 7 (2019) 126, No. 6 (2019) 126, No. 5 (2019) 126, No. 4 (2019) 126, No. 3 (2019) 126, No. 2 (2019) 126, No. 1 (2019) 125, No. 10 (2018) 125, No. 9 (2018) 125, No. 8 (2018) 125, No. 7 (2018) 125, No. 6 (2018) 125, No. 5 (2018) 125, No. 4 (2018) 125, No. 3 (2018) 125, No. 2 (2018) 125, No. 1 (2018) 124, No. 10 (2017) 124, No. 9 (2017) 124, No. 8 (2017) 124, No. 7 (2017) 124, No. 6 (2017) 124, No. 5 (2017) 124, No. 4 (2017) 124, No. 3 (2017) 124, No. 2 (2017) 124, No. 1 (2017) 123, No. 10 (2016) 123, No. 9 (2016) 123, No. 8 (2016) 123, No. 7 (2016) 123, No. 6 (2016) 123, No. 5 (2016) 123, No. 4 (2016) 123, No. 3 (2016) 123, No. 2 (2016) 123, No. 1 (2016) 122, No. 10 (2015) 122, No. 9 (2015) 122, No. 8 (2015) 122, No. 7 (2015) 122, No. 6 (2015) 122, No. 5 (2015) 122, No. 4 (2015) 122, No. 3 (2015) 122, No. 2 (2015) 122, No. 1 (2015) 121, No. 10 (2014) 121, No. 9 (2014) 121, No. 8 (2014) 121, No. 7 (2014) 121, No. 6 (2014) 121, No. 5 (2014) 121, No. 4 (2014) 121, No. 3 (2014) ...and 353 more Volumes all top 5 Authors 46 Carlitz, Leonard 38 Miller, George Abram 37 Thébault, Victor 35 West, Douglas Brent 33 Edgar, Gerald Arthur 33 Hensley, Doug 31 Lehmer, Derrick Henry 28 Bell, Eric Temple 28 Klamkin, Murray Seymour 27 Guy, Richard Kenneth 26 Borwein, Jonathan Michael 26 Levine, Norman 25 Apostol, Tom M. 25 Bennett, Albert A. 25 Cajori, Florian 24 Newman, Donald J. 23 Boas, Ralph Philip jun. 22 Ballantine, John Perry 21 Coolidge, Julian Lowell 21 Court, Nathan Altshiller 20 Erdős, Pál 20 Goormaghtigh, René 20 Redheffer, Raymond M. 20 Walsh, Joseph Leonard 19 Carmichael, Robert D. 19 Smith, David Eugene 18 Golomb, Solomon Wolf 18 Musselman, John Rogers 17 Garver, Raymond 17 Jackson, Dunham 17 Johnston, L. S. 17 Wilf, Herbert S. 16 Brown, Bancroft Huntington 16 Dickson, Leonard Eugene 16 Emch, Arnold F. 16 Halmos, Paul Richard 16 Mnatsakanian, Mamikon A. 16 Nathanson, Melvyn Bernard 16 Niven, Ivan Morton 16 Stein, Sherman K. 16 Williams, Kenneth S. 15 Andrews, George Eyre 15 Brand, Louis 15 Klee, Victor LaRue 15 Ponomarenko, Vadim 15 Zeitlin, David 14 Archibald, Raymond Clare 14 Vandiver, Harry Schultz 14 Velleman, Daniel J. 14 Weaver, James H. 13 Alexanderson, Gerald L. 13 Gale, David 13 Gould, Henry Wadsworth 13 Graham, Ronald Lewis 13 Kempner, Aubrey John 13 Wagon, Stan 12 Bellman, Richard Ernest 12 Berndt, Bruce Carl 12 Dunkel, Otto 12 Huntington, Edward Vermilye 12 Klosinski, Leonard F. 12 Pólya, George 12 Rudin, Walter 12 Sondow, Jonathan D. 12 Tabachnikov, Serge L. 12 Ward, Morgan 11 Buck, Robert Creighton 11 Fort, Tomlinson 11 Grünbaum, Branko 11 Kennedy, Ernest C. 11 Mac Lane, Leslie Saunders 11 McShane, Edward James 11 Mycielski, Jan 11 Waterhouse, William C. 11 Wetzel, John E. 11 Zeilberger, Doron 10 Borwein, David 10 Buchanan, Herbert Earle 10 Chapman, Scott Thomas 10 Dilcher, Karl 10 Krantz, Steven George 10 Morgan, Frank 9 Beardon, Alan Frank 9 Daus, Paul Harold 9 de Cicco, John 9 Diaconis, Persi Warren 9 Duncan, R. L. 9 Flanders, Harley 9 Gandhi, J. M. 9 Goldberg, Michael 9 Granville, Andrew James 9 Harary, Frank 9 Hirschhorn, Michael D. 9 Krusemeyer, Mark I. 9 Langer, Rudolph Ernest 9 Lax, Peter David 9 McCarthy, Paul J. 9 Mirsky, Leon 9 Parker, William Van 9 Pollack, Paul ...and 7,053 more Authors all top 5 Fields 1,283 Number theory (11-XX) 667 Real functions (26-XX) 616 Combinatorics (05-XX) 454 Geometry (51-XX) 384 History and biography (01-XX) 364 Linear and multilinear algebra; matrix theory (15-XX) 330 Convex and discrete geometry (52-XX) 322 General and overarching topics; collections (00-XX) 285 Mathematics education (97-XX) 263 Functions of a complex variable (30-XX) 255 Probability theory and stochastic processes (60-XX) 250 General topology (54-XX) 232 Group theory and generalizations (20-XX) 180 Field theory and polynomials (12-XX) 173 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 171 Sequences, series, summability (40-XX) 168 Measure and integration (28-XX) 139 Numerical analysis (65-XX) 137 Mathematical logic and foundations (03-XX) 135 Special functions (33-XX) 134 Differential geometry (53-XX) 132 Functional analysis (46-XX) 117 Ordinary differential equations (34-XX) 110 Computer science (68-XX) 106 Manifolds and cell complexes (57-XX) 99 Dynamical systems and ergodic theory (37-XX) 91 Commutative algebra (13-XX) 83 Approximations and expansions (41-XX) 81 Associative rings and algebras (16-XX) 73 Operator theory (47-XX) 71 Operations research, mathematical programming (90-XX) 67 Algebraic geometry (14-XX) 65 Mechanics of particles and systems (70-XX) 62 Difference and functional equations (39-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 52 Statistics (62-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 46 Partial differential equations (35-XX) 46 Algebraic topology (55-XX) 45 Global analysis, analysis on manifolds (58-XX) 45 Information and communication theory, circuits (94-XX) 32 Biology and other natural sciences (92-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 24 Potential theory (31-XX) 22 Several complex variables and analytic spaces (32-XX) 20 Nonassociative rings and algebras (17-XX) 17 Topological groups, Lie groups (22-XX) 17 Quantum theory (81-XX) 16 Integral transforms, operational calculus (44-XX) 14 Mechanics of deformable solids (74-XX) 13 Category theory; homological algebra (18-XX) 12 Fluid mechanics (76-XX) 10 Relativity and gravitational theory (83-XX) 9 Abstract harmonic analysis (43-XX) 9 Optics, electromagnetic theory (78-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Integral equations (45-XX) 6 Geophysics (86-XX) 5 Systems theory; control (93-XX) 4 General algebraic systems (08-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,604 Publications have been cited 46,910 times in 38,614 Documents Cited by ▼ Year ▼ College admissions and the stability of marriage. 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Zbl 0714.52007 Thurston, William P. 120 1990 A theorem on graphs, with an application to a problem of traffic control. Zbl 0021.35703 Robbins, H. E. 117 1939 Infinite families of nontrivial trivalent graphs which are not Tait colorable. Zbl 0311.05109 Isaacs, Rufus 116 1975 Centrosymmetric (cross-symmetric) matrices, their basic properties, eigenvalues, and eigenvectors. Zbl 0619.15021 Weaver, James R. 116 1985 Complex Fibonacci numbers and Fibonacci quaternions. Zbl 0122.29402 Horadam, A. F. 114 1963 A problem in graph theory. Zbl 0126.39401 Erdős, Pál; Hajnal, András; Moon, J. W. 114 1964 The \(3x+1\) problem and its generalizations. Zbl 0566.10007 Lagarias, Jeffrey C. 110 1985 What is the probability that two group elements commute? Zbl 0276.60013 Gustafson, W. H. 110 1973 The number of partitions of a set. Zbl 0121.01803 Rota, Gian-Carlo 105 1964 The prehistory of the Hardy inequality. Zbl 1153.01015 Kufner, Alois; Maligranda, Lech; Persson, Lars-Erik 104 2006 Digital topology. 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Zbl 1035.53003 Chen, Bang-Yen 90 2003 The Newton-Kantorovich theorem. Zbl 0183.43004 Ortega, J. M. 88 1968 A topological approach to digital topology. Zbl 0761.54036 Kong, T. Yung; Kopperman, Ralph; Meyer, Paul R. 88 1991 Almost every number has a continuum of \(\beta\)-expansions. Zbl 1049.11085 Sidorov, Nikita 86 2003 On the geometry of numbers in elementary number theory. Zbl 0155.09302 Andrews, G. E. 83 1967 The problem of simplifying truth functions. Zbl 0048.24503 Quine, W. V. 83 1952 Rental harmony: Sperner’s lemma in fair division. Zbl 1010.05077 Su, Francis Edward 82 1999 A way to simplify truth functions. Zbl 0068.24209 Quine, W. V. 82 1955 The formula of Faa di Bruno. Zbl 0513.05009 Roman, Steven 81 1980 Pascal’s matrices. Zbl 0788.05011 Call, Gregory S.; Velleman, Daniel J. 79 1993 Remarks on divisors of zero. Zbl 0060.07703 McCoy, N. H. 79 1942 Idempotent semigroups. Zbl 0055.01404 McLean, David 78 1954 Equations in quaternions. Zbl 0060.08002 Niven, Ivan 78 1941 On intervals, transitivity = chaos. Zbl 0886.58033 Vellekoop, Michel; Berglund, Raoul 78 1994 Generalized Fibonacci numbers and associated matrices. Zbl 0103.27203 Miles, E. P. jun. 77 1960 How to cut a cake fairly. Zbl 0441.90002 Stromquist, Walter 76 1980 Ideals in partially ordered sets. Zbl 0055.25901 Frink, Orrin 75 1954 A generalized Fibonacci sequence. Zbl 0113.26605 Horadam, A. F. 75 1961 Inverse problems light: Numerical differentiation. Zbl 1002.65029 Hanke, Martin; Scherzer, Otmar 74 2001 The power mean and the logarithmic mean. Zbl 0292.26015 Lin, Tung-Po 72 1974 A combinatorial property of q-Eulerian numbers. Zbl 0296.05007 Carlitz, Leonard 72 1975 A miniature theory in illustration of the convolution transform. Zbl 0039.33202 Hirschman, I. I. jun.; Widder, D. V. 71 1950 Unique developments in non-integer bases. Zbl 0918.11006 Komornik, Vilmos; Loreti, Paola 70 1998 Embedding incomplete latin squares. Zbl 0100.25601 Evans, Trevor 70 1961 Indexed systems of neighborhoods for general topological spaces. Zbl 0106.15504 Davis, A. S. 70 1961 An introduction to Ramanujan’s ”lost” Notebook. Zbl 0401.01003 Andrews, George E. 70 1979 On Halley’s iteration method. Zbl 0574.65041 Gander, Walter 69 1985 Tricks or treats with the Hilbert matrix. Zbl 0546.47007 Choi, Man-Duen 68 1983 The logarithmic mean. Zbl 0241.33001 Carlson, B. C. 68 1972 The Jordan curve theorem, formally and informally. Zbl 1137.03305 Hales, Thomas C. 67 2007 Checker boards and polyominoes. Zbl 0057.01005 Golomb, S. W. 67 1954 New foundations for mathematical logic. Zbl 0016.19301 Quine, W. V. 67 1937 Euler and the zeta function. Zbl 0293.10001 Ayoub, Raymond 67 1974 The power and generalized logarithmic means. Zbl 0455.26008 Stolarsky, Kenneth B. 66 1980 A decomposition of continuity in topological spaces. Zbl 0100.18601 Levine, Norman 65 1961 An inequality for rearrangements. Zbl 0050.28201 Lorentz, G. G. 65 1953 The voting problem. Zbl 0090.25101 Stearns, Richard 64 1959 Schubert calculus. Zbl 0272.14016 Kleiman, S. L.; Laksov, Dan 64 1972 Some generalizations of Vandermonde’s convolution. Zbl 0072.00702 Gould, H. W. 63 1956 What is Cantor’s continuum problem,. Zbl 0038.03003 Gödel, K. 63 1948 Algorithms involving arithmetic and geometric means. Zbl 0218.65035 Carlson, B. C. 63 1971 Ms. Machiavelli and the stable matching problem. Zbl 0595.90004 Gale, David; Sotomayor, Marilda 63 1985 The Poincaré-Miranda theorem. Zbl 0891.47040 Kulpa, Wladyslaw 62 1997 Diagonal equivalence to matrices with prescribed row and column sums. Zbl 0166.03702 Sinkhorn, R. 61 1967 Browder’s theorem through Brouwer’s fixed point theorem. Zbl 1518.55001 Solan, Eilon; Solan, Omri N. 2 2023 A quixotic proof of Fermat’s two squares theorem for prime numbers. Zbl 07762228 Bacher, Roland 1 2023 Galileo’s swiftest descent problem revisited: complete analytic solution. Zbl 1513.70002 Selg, Matti 1 2023 Minimax theorem revisited. Zbl 1512.90240 Schlesinger, Michail; Krygin, Valerii 1 2023 On a nearly forgotten polynomial result by P. Bohl. Zbl 1508.30006 Čermák, Jan; Fedorková, Lucie 1 2023 Remark on Cauchy-Schwarz inequality for differences. Zbl 1511.26025 Farhadian, Reza 1 2023 On cusps of caustics by reflection: billiard variations on the four vertex theorem and on Jacobi’s last geometric statement. Zbl 1515.78004 Bor, Gil; Tabachnikov, Serge 1 2023 The geodesics for Poincaré’s half-plane: a nonstandard derivation. Zbl 1519.70015 Gorni, Gianluca; Zampieri, Gaetano 1 2023 Guessing about guessing: practical strategies for card guessing with feedback. Zbl 1492.60019 Diaconis, Persi; Graham, Ron; Spiro, Sam 8 2022 A sharp form of the discrete Hardy inequality and the Keller-Pinchover-Pogorzelski inequality. Zbl 1491.26023 Krejčiřík, David; Štampach, František 5 2022 The pentagonal pizza conjecture. 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Zbl 1473.11028 Walker, Aled; Walker, Alexander 1 2020 ...and 1017 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 39,394 Authors 65 Chen, Chaoping 64 Srivastava, Hari Mohan 63 Alzer, Horst 63 Chu, Yuming 63 Noiri, Takashi 60 Qi, Feng 52 Chen, Jianlong 50 Mortici, Cristinel 49 Farouki, Rida T. 48 Luca, Florian 44 Lim, Yongdo 43 Chen, Guanrong 43 Diaconis, Persi Warren 43 Radenovic, Stojan 42 Et, Mikail 41 Llibre, Jaume 40 Chu, Wenchang 39 Kumam, Poom 39 Volkmann, Lutz 38 Martini, Horst 38 Savaş, Ekrem 37 Shallit, Jeffrey Outlaw 37 Yang, Zhenhang 35 Lu, Dawei 35 Mosić, Dijana 35 Örnek, Bülent Nafi 35 Pach, János 34 Erdős, Pál 34 Páles, Zsolt 34 Tabachnikov, Serge L. 33 Kim, Taekyun 33 Pečarić, Josip 33 Seoane-Sepúlveda, Juan Benigno 33 Sheikholeslami, Seyed Mahmoud 32 Dubickas, Artūras 32 Fiol, Miquel Angel 32 Li, Risong 31 Andrews, George Eyre 31 Dilcher, Karl 31 Rakočević, Vladimir 31 Shi, Yuming 31 Wu, Xinxing 31 Zayed, Elsayed M. E. 30 Borwein, Jonathan Michael 30 Klaus, Bettina 30 Manlove, David F. 29 Guo, Victor J. W. 29 Moree, Pieter 29 Sun, Zhi-Wei 29 Suzuki, Tomonari 28 Abbas, Mujahid 28 Fraenkel, Aviezri Siegmund 28 Imdad, Mohammad 28 Katz, Mikhail G. 28 Šlapal, Josef 27 Biró, Peter 27 Hajja, Mowaffaq 27 Karapınar, Erdal 26 Lagarias, Jeffrey C. 26 Merca, Mircea 26 Moll, Victor Hugo 26 Pak, Igor 25 Allouche, Jean-Paul Simon 25 Deveci, Ömür 25 Guterman, Alexander Èmilevich 25 Hansen, Pierre 25 Hazarika, Bipan 25 Hong, Shaofang 25 Khamsi, Mohamed Amine 25 Oprocha, Piotr 25 Wei, Yimin 25 Zeilberger, Doron 24 Berndt, Bruce Carl 24 Cakalli, Huseyin 24 Cánovas, Jose S. 24 Ismail, Mourad El-Houssieny 24 Klijn, Flip 24 Rigo, Michel 23 Das, Pratulananda 23 Komornik, Vilmos 23 Kong, Derong 23 Krantz, Steven George 23 Li, Chi-Kwong 23 Mansour, Toufik 23 Miller, Steven J. 23 Sanna, Carlo 23 Sintunavarat, Wutiphol 22 Agarwal, Ravi P. 22 Beer, Gerald Alan 22 Chellali, Mustapha 22 Fleiner, Tamás 22 Gasull, Armengol 22 Geroldinger, Alfred 22 Gould, Ronald J. 22 Henning, Michael Anthony 22 Hernández, Miguel Ángel 22 Lee, Yang 22 Wang, Lidong 22 Yayli, Yusuf 21 Ciucu, Mihai ...and 39,294 more Authors all top 5 Cited in 1,375 Journals 1,170 Journal of Mathematical Analysis and Applications 1,082 Linear Algebra and its Applications 920 Discrete Mathematics 713 Proceedings of the American Mathematical Society 494 Transactions of the American Mathematical Society 441 Applied Mathematics and Computation 434 Theoretical Computer Science 433 Journal of Number Theory 430 Discrete Applied Mathematics 396 Topology and its Applications 390 American Mathematical Monthly 377 Journal of Combinatorial Theory. 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New Series 88 Finite Fields and their Applications 87 Synthese 87 Integral Transforms and Special Functions 87 The College Mathematics Journal 85 Numerische Mathematik ...and 1,275 more Journals all top 5 Cited in 63 Fields 6,314 Combinatorics (05-XX) 5,310 Number theory (11-XX) 2,706 Computer science (68-XX) 2,584 General topology (54-XX) 2,494 Linear and multilinear algebra; matrix theory (15-XX) 2,285 Numerical analysis (65-XX) 2,257 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2,235 Real functions (26-XX) 2,215 Dynamical systems and ergodic theory (37-XX) 2,185 Operator theory (47-XX) 1,994 Probability theory and stochastic processes (60-XX) 1,717 Convex and discrete geometry (52-XX) 1,584 Group theory and generalizations (20-XX) 1,536 Functional analysis (46-XX) 1,367 Mathematical logic and foundations (03-XX) 1,367 Special functions (33-XX) 1,348 Functions of a complex variable (30-XX) 1,308 Partial differential equations (35-XX) 1,211 Operations research, mathematical programming (90-XX) 1,167 Differential geometry (53-XX) 1,157 Ordinary differential equations (34-XX) 1,095 Statistics (62-XX) 1,051 Geometry (51-XX) 859 Approximations and expansions (41-XX) 845 Associative rings and algebras (16-XX) 794 Sequences, series, summability (40-XX) 746 Measure and integration (28-XX) 730 History and biography (01-XX) 705 Difference and functional equations (39-XX) 688 Biology and other natural sciences (92-XX) 683 Algebraic geometry (14-XX) 634 Commutative algebra (13-XX) 624 Information and communication theory, circuits (94-XX) 600 Order, lattices, ordered algebraic structures (06-XX) 596 Quantum theory (81-XX) 531 Manifolds and cell complexes (57-XX) 526 Harmonic analysis on Euclidean spaces (42-XX) 510 Calculus of variations and optimal control; optimization (49-XX) 506 Systems theory; control (93-XX) 503 Global analysis, analysis on manifolds (58-XX) 494 Field theory and polynomials (12-XX) 412 Statistical mechanics, structure of matter (82-XX) 389 General and overarching topics; collections (00-XX) 342 Several complex variables and analytic spaces (32-XX) 335 Mechanics of particles and systems (70-XX) 325 Mechanics of deformable solids (74-XX) 322 Fluid mechanics (76-XX) 314 Integral transforms, operational calculus (44-XX) 248 Potential theory (31-XX) 238 Topological groups, Lie groups (22-XX) 235 Algebraic topology (55-XX) 230 Mathematics education (97-XX) 212 Integral equations (45-XX) 210 Nonassociative rings and algebras (17-XX) 196 Category theory; homological algebra (18-XX) 150 Abstract harmonic analysis (43-XX) 139 General algebraic systems (08-XX) 131 Relativity and gravitational theory (83-XX) 100 Optics, electromagnetic theory (78-XX) 55 Classical thermodynamics, heat transfer (80-XX) 48 Geophysics (86-XX) 24 \(K\)-theory (19-XX) 24 Astronomy and astrophysics (85-XX) Citations by Year