## Experimental Mathematics

 Short Title: Exp. Math. Publisher: Taylor & Francis, Philadelphia, PA ISSN: 1058-6458; 1944-950X/e Online: http://www.tandfonline.com/loi/uexm20http://projecteuclid.org/euclid.emhttp://www.emis.de/journals/EM/index.html Comments: Indexed cover-to-cover
 Documents Indexed: 1,103 Publications (since 1992) References Indexed: 875 Publications with 16,627 References.
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### Latest Issues

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### Authors

 17 Borwein, Jonathan Michael 13 Pohst, Michael E. 12 Bailey, David Harold 9 Crandall, Richard E. 9 Strichartz, Robert S. 8 Gaál, István 8 Shparlinski, Igor E. 7 Ash, Avner 7 Lagarias, Jeffrey C. 6 Lux, Klaus Martin 6 Schwartz, Richard Evan 5 Almkvist, Gert 5 Burton, Benjamin A. 5 Dummigan, Neil 5 Guillera, Jesús 5 Havas, George 5 Hodgson, Craig D. 5 Holt, Derek F. 5 Milnor, John Willard 5 Rubinstein, Michael O. 5 Shapiro, Boris Zalmanovich 5 Williams, Hugh Cowie 4 Chas, Moira 4 Guilloux, Antonin 4 Gunnells, Paul E. 4 Hare, Kevin G. 4 Katsurada, Hidenori 4 Katz, Nicholas Michael 4 Landsberg, Joseph Montague 4 Long, Darren D. 4 Lutz, Frank Hagen 4 Malle, Gunter 4 Miller, Steven J. 4 Mossinghoff, Michael J. 4 Nebe, Gabriele 4 Petronio, Carlo 4 Plesken, Wilhelm 4 Rhin, Georges 4 Sinclair, Robert 4 Sottile, Frank 4 Suzuki, Masaaki 4 Wilson, Robert Arnott 4 Zagier, Don Bernard 3 Batut, Christian 3 Borwein, Peter Benjamin 3 Boston, Nigel 3 Boyd, David William 3 Brakke, Kenneth A. 3 Bremner, Andrew 3 Bressaud, Xavier 3 Brinkmann, Peter 3 Brown, Gavin Dennis 3 Chopp, David L. 3 Conrey, John Brian 3 Conway, John Horton 3 Crass, Scott 3 Cremona, John E. 3 de Graaf, Willem Adriaan 3 Dembélé, Lassina 3 Deraux, Martin 3 Dieulefait, Luis Victor 3 Dress, François 3 Eick, Bettina 3 Elder, Murray J. 3 Elkies, Noam David 3 Elsenhans, Andreas-Stephan 3 Fearnley, Jack 3 Finch, Steven R. 3 Garoufalidis, Stavros 3 Graf von Bothmer, Hans-Christian 3 Griffeath, David 3 Heard, Damian 3 Hentzel, Irvin Roy 3 Hulpke, Alexander Jörg 3 Ichim, Bogdan 3 Jacobson, Michael John jun. 3 Kasprzyk, Alexander M. 3 Kisilevsky, Hershy 3 Konovalov, Olexandr 3 Kurlberg, Pär 3 Leprévost, Franck 3 Martelli, Bruno 3 Neuberger, John W. 3 Platt, David John 3 Rawdon, Eric J. 3 Reid, Alan W. 3 Renka, Robert J. 3 Roblot, Xavier-François 3 Röhrle, Gerhard E. 3 Rossman, Wayne 3 Sac-Epee, Jean-Marc 3 Sasaki, Takeshi 3 Shallit, Jeffrey O. 3 Sloane, Neil James Alexander 3 Takemori, Sho 3 te Riele, Herman 3 Thistlethwaite, Morwen B. 3 Veerman, J. J. P. 3 Yasaki, Dan 3 Yoshida, Masaaki ...and 1,599 more Authors
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### Fields

 459 Number theory (11-XX) 163 Algebraic geometry (14-XX) 133 Manifolds and cell complexes (57-XX) 131 Group theory and generalizations (20-XX) 114 Combinatorics (05-XX) 111 Dynamical systems and ergodic theory (37-XX) 72 Convex and discrete geometry (52-XX) 72 Computer science (68-XX) 64 Differential geometry (53-XX) 61 Numerical analysis (65-XX) 51 Commutative algebra (13-XX) 50 Functions of a complex variable (30-XX) 37 Special functions (33-XX) 32 Several complex variables and analytic spaces (32-XX) 30 Nonassociative rings and algebras (17-XX) 29 Measure and integration (28-XX) 25 Topological groups, Lie groups (22-XX) 24 Probability theory and stochastic processes (60-XX) 23 Geometry (51-XX) 22 Associative rings and algebras (16-XX) 21 Field theory and polynomials (12-XX) 21 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Ordinary differential equations (34-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Information and communication theory, circuits (94-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Real functions (26-XX) 14 Algebraic topology (55-XX) 14 Mechanics of particles and systems (70-XX) 13 Operations research, mathematical programming (90-XX) 8 Statistics (62-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Approximations and expansions (41-XX) 7 Abstract harmonic analysis (43-XX) 7 Operator theory (47-XX) 6 Category theory; homological algebra (18-XX) 6 Difference and functional equations (39-XX) 6 Quantum theory (81-XX) 5 Mathematical logic and foundations (03-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Potential theory (31-XX) 4 Sequences, series, summability (40-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 $$K$$-theory (19-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

892 Publications have been cited 6,879 times in 5,903 Documents Cited by Year
Computing discrete minimal surfaces and their conjugates. Zbl 0799.53008
1993
The surface evolver. Zbl 0769.49033
Brakke, Kenneth A.
1992
Euler sums and contour integral representations. Zbl 0920.11061
Flajolet, Philippe; Salvy, Bruno
1998
Geometry and dynamics of quadratic rational maps (with an appendix by J. Milnor and Tan Lei). Zbl 0922.58062
Milnor, John
1993
Notes on the $$K3$$ surface and the Mathieu group $$M_{24}$$. Zbl 1266.58008
Eguchi, Tohru; Ooguri, Hirosi; Tachikawa, Yuji
2011
The superpolynomial for knot homologies. Zbl 1118.57012
Dunfield, Nathan M.; Gukov, Sergei; Rasmussen, Jacob
2006
Packing lines, planes, etc.: Packings in Grassmannian spaces. Zbl 0864.51012
Conway, John H.; Hardin, Ronald H.; Sloane, Neil J. A.
1996
A software package for the numerical integration of ODEs by means of high-order Taylor methods. Zbl 1108.65072
Jorba, Àngel; Zou, Maorong
2005
Patterns in knot cohomology. I. Zbl 1073.57007
Khovanov, Mikhail
2003
rc-graphs and Schubert polynomials. Zbl 0803.05054
Bergeron, Nantel; Billey, Sara
1993
Experimental evaluation of Euler sums. Zbl 0810.11076
Bailey, David H.; Borwein, Jonathan M.; Girgensohn, Roland
1994
Chebyshev’s bias. Zbl 0823.11050
Rubinstein, Michael; Sarnak, Peter
1994
Mahler’s measure and special values of $$L$$-functions. Zbl 0932.11069
Boyd, David W.
1998
Remarks on iterated cubic maps. Zbl 0762.58018
Milnor, John
1992
Classification of solvable Lie algebras. Zbl 1173.17300
de Graaf, W. A.
2005
A random graph model for power law graphs. Zbl 0971.05100
Aiello, William; Chung, Fan; Lu, Linyuan
2001
Computing special values of motivic $$L$$-functions. Zbl 1139.11317
Dokchitser, Tim
2004
On the topography of Maass waveforms for $$\text{PSL}(2,\mathbb Z)$$. Zbl 0813.11035
Hejhal, Dennis A.; Rackner, Barry N.
1992
The topology of rational points. Zbl 0784.14012
Mazur, Barry
1992
The pentagram map. Zbl 0765.52004
Schwartz, Richard
1992
On the distribution of Galois groups. II. Zbl 1099.11065
Malle, Gunter
2004
Kashaev’s conjecture and the Chern-Simons invariants of knots and links. Zbl 1117.57300
Murakami, Hitoshi; Murakami, Jun; Okamoto, Miyuki; Takata, Toshie; Yokota, Yoshiyuki
2002
Symmetries, isometries and length spectra of closed hyperbolic three-manifolds. Zbl 0841.57020
Hodgson, Craig D.; Weeks, Jeffrey R.
1994
Pasting together Julia sets: a worked out example of mating. Zbl 1115.37051
Milnor, John
2004
On the evaluation of Euler sums. Zbl 0833.11045
Crandall, Richard E.; Buhler, Joe P.
1994
On the integral cohomology of Bianchi groups. Zbl 1269.22007
Şengün, Mehmet Haluk
2011
On rational maps with two critical points. Zbl 0972.30013
Milnor, John
2000
Experimental study of energy-minimizing point configurations on spheres. Zbl 1185.68771
Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill
2009
$$p$$-adic chaos and random number generation. Zbl 0920.11052
Woodcock, Christopher F.; Smart, Nigel P.
1998
Computation of self-similar solutions for mean curvature flow. Zbl 0811.53011
Chopp, David L.
1994
The Blasius function in the complex plane. Zbl 0980.34053
Boyd, John P.
1999
Computing arithmetic invariants of 3-manifolds. Zbl 1002.57044
Coulson, David; Goodman, Oliver A.; Hodgson, Craig D.; Neumann, Walter D.
2000
A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems. Zbl 0983.37107
Jorba, Àngel
1999
Visualizing elements in the Shafarevich-Tate group. Zbl 0972.11049
Cremona, John E.; Mazur, Barry
2000
The volume spectrum of hyperbolic 4-manifolds. Zbl 0963.57012
Ratcliffe, John G.; Tschantz, Steven T.
2000
Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere. Zbl 1101.57306
Björner, Anders; Lutz, Frank H.
2000
Densities of self-similar measures on the line. Zbl 0860.28005
Strichartz, Robert S.; Taylor, Arthur; Zhang, Tong
1995
On the volume of a certain polytope. Zbl 0960.05004
Chan, Clara S.; Robbins, David P.; Yuen, David S.
2000
Central binomial sums, multiple Clausen values, and zeta values. Zbl 0998.11045
Borwein, Jonathan Michael; Broadhurst, David J.; Kamnitzer, Joel
2001
The five-electron case of Thomson’s problem. Zbl 1269.78003
Schwartz, Richard Evan
2013
Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056
Maisner, Daniel; Nart, Enric
2002
About a new kind of Ramanujan-type series. Zbl 1083.33004
Guillera, Jesús
2003
Heuristics on Tate-Shafarevitch groups of elliptic curves defined over $$\mathbb{Q}$$. Zbl 1045.11038
Delaunay, Christophe
2001
Three-manifolds having complexity at most 9. Zbl 1050.57018
Martelli, Bruno; Petronio, Carlo
2001
An algorithm for finding the Veech group of an origami. Zbl 1078.14036
Schmithüsen, Gabriela
2004
Random generators and normal numbers. Zbl 1165.11328
Bailey, David H.; Crandall, Richard E.
2002
On stable Khovanov homology of torus knots. Zbl 1281.57003
Gorsky, Eugene; Oblomkov, Alexei; Rasmussen, Jacob
2013
Minimizing the squared mean curvature integral for surfaces in space forms. Zbl 0778.53001
Hsu, Lucas; Kusner, Rob; Sullivan, John
1992
Congruence subgroups of $$\text{PSL}(2,\mathbb{Z}$$) of genus less than or equal to 24. Zbl 1060.11021
Cummins, C. J.; Pauli, S.
2003
A numerical approach to three-dimensional dendritic solidification. Zbl 0811.65126
Kobayashi, Ryo
1994
New conjectural lower bounds on the optimal density of sphere packings. Zbl 1113.52034
Stillinger, F. H.; Torquato, S.
2006
Real Schubert calculus: polynomial systems and a conjecture of Shapiro and Shapiro. Zbl 0997.14016
Sottile, Frank
2000
On the distribution of class groups of number fields. Zbl 1297.11139
Malle, Gunter
2010
Tropical polytopes and cellular resolutions. Zbl 1134.52006
Develin, Mike; Yu, Josephine
2007
Finding all elliptic curves with good reduction outside a given set of primes. Zbl 1149.11028
Cremona, J. E.; Lingham, M. P.
2007
Congruence subgroups of groups commensurable with $$\text{PSL}(2,\mathbb Z)$$ of genus $$0$$ and $$1$$. Zbl 1099.11022
Cummins, C. J.
2004
Remarks on self-affine tilings. Zbl 0838.52021
Hacon, Derek; Saldanha, Nicolau C.; Veerman, J. J. P.
1994
The distribution of the largest nontrivial eigenvalues in families of random regular graphs. Zbl 1151.05043
Miller, Steven J.; Novikoff, Tim
2008
The transitive permutation groups of degree 32. Zbl 1175.20004
Cannon, John J.; Holt, Derek F.
2008
On integrability of Hirota-Kimura-type discretizations: experimental study of the discrete Clebsch system. Zbl 1178.14007
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
2009
Convergence acceleration of alternating series. Zbl 0972.11115
Cohen, Henri; Rodriguez Villegas, Fernando; Zagier, Don
2000
Torus knots extremizing the Möbius energy. Zbl 0818.57007
Kim, Denise; Kusner, Rob
1993
Approximation of partitions of least perimeter by $$\Gamma$$-convergence: around Kelvin’s conjecture. Zbl 1261.49009
Oudet, Édouard
2011
Salem numbers, Pisot numbers, Mahler measure, and graphs. Zbl 1082.11066
McKee, James; Smyth, Chris
2005
Explicit presentations for exceptional braid groups. Zbl 1092.20033
Bessis, David; Michel, Jean
2004
On the equation $$a^3+ b^3= c^p$$. (Sur l’équation $$a^3+ b^3= c^p$$.) Zbl 0923.11054
Kraus, Alain
1998
Informal remarks on the orbit structure of discrete approximations to chaotic maps. Zbl 0922.58042
Lanford, Oscar E. III
1998
Empirically determined Apéry-like formulae for $$\zeta(4n+3)$$. Zbl 0887.11037
1997
Heuristics for the Brauer-Manin obstruction for curves. Zbl 1173.11040
Poonen, Bjorn
2006
Experimental indications of three-dimensional Galois representations from the cohomology of $$\text{SL}(3,\mathbb Z)$$. Zbl 0780.11029
Ash, Avner; McConnell, Mark
1992
A family of cubic rational maps and matings of cubic polynomials. Zbl 0969.37020
Shishikura, Mitsuhiro; Lei, Tan
2000
On the random character of fundamental constant expansions. Zbl 1047.11073
Bailey, David H.; Crandall, Richard E.
2001
A partial order in the knot table. Zbl 1089.57006
Kitano, Teruaki; Suzuki, Masaaki
2005
Computing the modular degree of an elliptic curve. Zbl 1162.11349
Watkins, Mark
2002
The splitting of primes in division fields of elliptic curves. Zbl 1162.11348
Duke, W.; Tóth, Á.
2002
The 2-adic valuation of Stirling numbers. Zbl 1218.11024
Amdeberhan, Tewodros; Manna, Dante; Moll, Victor H.
2008
Some heuristics about elliptic curves. Zbl 1151.14025
Watkins, Mark
2008
Spectral properties of high contrast band-gap materials and operators on graphs. Zbl 0930.35112
Kuchment, Peter; Kunyansky, Leonid A.
1999
Experimental determination of Apéry-like identities for $$\zeta(2n+2)$$. Zbl 1204.11136
Bailey, David H.; Borwein, Jonathan M.; Bradley, David M.
2006
Frequency locking on the boundary of the barycentre set. Zbl 1106.37303
Jenkinson, Oliver
2000
Treating the exceptional cases of the MeatAxe. Zbl 0966.16028
Ivanyos, Gábor; Lux, Klaus
2000
Certified numerical homotopy tracking. Zbl 1238.14048
Beltrán, Carlos; Leykin, Anton
2012
Twisted Alexander polynomials of hyperbolic knots. Zbl 1266.57008
Dunfield, Nathan M.; Friedl, Stefan; Jackson, Nicholas
2012
Toward a salmon conjecture. Zbl 1262.14056
Bates, Daniel J.; Oeding, Luke
2011
The space of clouds in Euclidean space. Zbl 1053.55015
Hausmann, Jean-Claude; Rodriguez, Eugenio
2004
New constant mean curvature surfaces. Zbl 1017.53009
Kilian, Martin; McIntosh, Ian; Schmitt, Nicholas
2000
Some conjectures and open problems on partition hook lengths. Zbl 1167.05004
Han, Guo-Niu
2009
Minimal Mahler measures. Zbl 1194.11100
Mossinghoff, Michael J.; Rhin, Georges; Wu, Qiang
2008
Generating discrete Morse functions from point data. Zbl 1097.57020
King, Henry; Knudson, Kevin; Mramor, Neža
2005
Constructing packings in Grassmannian manifolds via alternating projection. Zbl 1155.52304
Dhillon, I. S.; Heath, R. W. jun.; Strohmer, T.; Tropp, J. A.
2008
Discovering and proving infinite binomial sums identities. Zbl 1365.05009
Ablinger, Jakob
2017
Cauchy transforms of self-similar measures. Zbl 0959.28006
Lund, John-Peter; Strichartz, Robert S.; Vinson, Jade P.
1998
Computing varieties of representations of hyperbolic 3-manifolds into $$\text{SL}(4,\mathbb R)$$. Zbl 1117.57016
Cooper, Daryl; Long, Darren; Thistlethwaite, Morwen
2006
Zeros of $$\{-1,0,1\}$$ power series and connectedness loci for self-affine sets. Zbl 1122.30002
Shmerkin, Pablo; Solomyak, Boris
2006
A $$p$$-adic study of the partial sums of the harmonic series. Zbl 0838.11015
Boyd, David W.
1994
On the volume of the polytope of doubly stochastic matrices. Zbl 0951.05015
Chan, Clara S.; Robbins, David P.
1999
A comparison of three high-precision quadrature schemes. Zbl 1082.65028
Bailey, David H.; Jeyabalan, Karthik; Li, Xiaoye S.
2005
Flow under curvature: Singularity formation, minimal surfaces, and geodesics. Zbl 0806.53004
Chopp, David L.; Sethian, James A.
1993
Some experiments with integral Apollonian circle packings. Zbl 1259.11065
Fuchs, Elena; Sanden, Katherine
2011
Three-step and four-step random walk integrals. Zbl 1268.33005
Borwein, Jonathan M.; Straub, Armin; Wan, James
2013
On skew braces and their ideals. Zbl 1476.16036
Konovalov, Alexander; Smoktunowicz, Agata; Vendramin, Leandro
2021
Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford-Klein forms problem. Zbl 07331274
Bocheński, Maciej; Jastrzȩbski, Piotr; Szczepkowska, Anna; Tralle, Aleksy; Woike, Artur
2021
On the saturation conjecture for Spin$$(2n)$$. Zbl 1477.57034
Kiers, Joshua
2021
Truncated theta series and Rogers-Ramanujan functions. Zbl 1482.05017
Merca, Mircea
2021
The 21 reducible polars of Klein’s quartic. Zbl 1460.14071
Pokora, Piotr; Roé, Joaquim
2021
On computing integral points of a Mordell curve – the method of Wildanger revisited. Zbl 1465.11237
Gaál, István; Pohst, Maximilian C.; Pohst, Michael E.
2021
The search for nonsymmetric ribbon knots. Zbl 1477.57006
Lamm, Christoph
2021
Addressing Johnson graphs, complete multipartite graphs, odd cycles, and random graphs. Zbl 1477.05057
Alon, Noga; Cioabă, Sebastian M.; Gilbert, Brandon D.; Koolen, Jack H.; McKay, Brendan D.
2021
A version of Green’s conjecture in positive characteristic. Zbl 07446656
Bopp, Christian; Schreyer, Frank-Olaf
2021
The entropy of the angenent torus is approximately 1.85122. Zbl 1483.53106
Berchenko-Kogan, Yakov
2021
Cohen-Lenstra heuristics for torsion in homology of random complexes. Zbl 1460.05206
Kahle, Matthew; Lutz, Frank Hagen; Newman, Andrew; Parsons, Kyle
2020
Fundamental groups of real arrangements and torsion in the lower central series quotients. Zbl 1439.32072
Bartolo, Enrique Artal; Guerville-Ballé, Benoît; Viu-Sos, Juan
2020
Comments on exchange graphs in cluster algebras. Zbl 1439.13056
Kim, Hyun Kyu; Yamazaki, Masahito
2020
Conjectures and computations about Veronese syzygies. Zbl 1460.14134
Bruce, Juliette; Erman, Daniel; Goldstein, Steve; Yang, Jay
2020
Khovanov homotopy calculations using flow category calculus. Zbl 1464.57020
Lobb, Andrew; Orson, Patrick; Schütz, Dirk
2020
Lower bounds on the number of realizations of rigid graphs. Zbl 1442.05044
Grasegger, Georg; Koutschan, Christoph; Tsigaridas, Elias
2020
Theta functions for lattices of $$\mathrm{SU}(3)$$ hyper-roots. Zbl 1482.11068
Coquereaux, Robert
2020
Quantum periods for certain four-dimensional Fano manifolds. Zbl 1444.14077
Coates, Tom; Galkin, Sergey; Kasprzyk, Alexander; Strangeway, Andrew
2020
BMR freeness for icosahedral family. Zbl 1479.20007
Tsuchioka, Shunsuke
2020
On the evaluation of singular invariants for canonical generators of certain genus one arithmetic groups. Zbl 1458.11160
Jorgenson, Jay; Smajlović, Lejla; Then, Holger
2020
Solving the conjugacy decision problem via machine learning. Zbl 1481.20119
Gryak, Jonathan; Haralick, Robert M.; Kahrobaei, Delaram
2020
Experimental statistics of veering triangulations. Zbl 1436.57022
Worden, William
2020
Area difference bounds for dissections of a square into an odd number of triangles. Zbl 1460.52016
Labbé, Jean-Philippe; Rote, Günter; Ziegler, Günter Matthias
2020
How many eigenvalues of a product of truncated orthogonal matrices are real? Zbl 1466.15035
Forrester, Peter J.; Ipsen, Jesper R.; Kumar, S.
2020
Grid peeling and the affine curve-shortening flow. Zbl 1461.53073
Eppstein, David; Har-Peled, Sariel; Nivasch, Gabriel
2020
Rook theory of the finite general linear group. Zbl 1460.05004
Lewis, Joel Brewster; Morales, Alejandro H.
2020
Correction to: “Some singular curves and surfaces arising from invariants of complex reflection groups”. Zbl 1477.14008
Bonnafé, Cédric
2020
Virtual knot cobordism and bounding the slice genus. Zbl 07136203
Boden, Hans U.; Chrisman, Micah; Gaudreau, Robin
2019
Computing all elliptic curves over an arbitrary number field with prescribed primes of bad reduction. Zbl 1443.11097
Koutsianas, Angelos
2019
Detecting fully irreducible automorphisms: a polynomial time algorithm. Zbl 1470.20019
Kapovich, Ilya; Bell, Mark C.
2019
Primitive root bias for twin primes. Zbl 1450.11001
Garcia, Stephan Ramon; Kahoro, Elvis; Luca, Florian
2019
Computing Kazhdan constants by semidefinite programming. Zbl 1420.22007
Fujiwara, Koji; Kabaya, Yuichi
2019
On calculating the slice genera of 11- and 12-crossing knots. Zbl 1414.57009
Lewark, Lukas; McCoy, Duncan
2019
On the Jacobians of curves defined by the generalized Laguerre polynomials. Zbl 1470.11160
Cullinan, John
2019
Missing class groups and class number statistics for imaginary quadratic fields. Zbl 1470.11285
Holmin, S.; Jones, N.; Kurlberg, P.; McLeman, C.; Petersen, K.
2019
On functional graphs of quadratic polynomials. Zbl 1417.05088
Mans, Bernard; Sha, Min; Shparlinski, Igor E.; Sutantyo, Daniel
2019
Derived Hecke algebra for weight one forms. Zbl 1480.11049
Harris, Michael; Venkatesh, Akshay
2019
On local integrability in billiard dynamics. Zbl 1423.37053
Schastnyy, V.; Treschev, D.
2019
Minimal twin surfaces. Zbl 1427.53003
Chen, Hao
2019
Self-similarity for the tricorn. Zbl 1431.37043
Inou, Hiroyuki
2019
Construction of theta series of any vector-valued weight and applications to lifts and congruences. Zbl 1473.11091
Ibukiyama, Tomoyoshi; Takemori, Sho
2019
Few paths, fewer words: model selection with automatic structure functions. Zbl 1419.68057
Kjos-Hanssen, Bjørn
2019
Sixty-four curves of degree six. Zbl 1440.14270
Kaihnsa, Nidhi; Kummer, Mario; Plaumann, Daniel; Namin, Mahsa Sayyary; Sturmfels, Bernd
2019
Crepant resolutions of 3-dimensional quotient singularities via Cox rings. Zbl 1433.14011
Donten-Bury, Maria; Grab, Maksymilian
2019
Examples of finitely determined map-germs of corank 3 supporting Mond’s $$\mu\geq \tau$$-type conjecture. Zbl 1421.58010
Sharland, Ayşe
2019
The Göpel variety. Zbl 1442.14113
Freitag, Eberhard; Manni, Riccardo Salvati
2019
The geometry of rank decompositions of matrix multiplication. I: $$2\times 2$$ matrices. Zbl 1428.15023
Chiantini, Luca; Ikenmeyer, Christian; Landsberg, J. M.; Ottaviani, Giorgio
2019
Quantum chaos on random Cayley graphs of $$\mathrm{SL}_2 [\mathbb{Z}/ p\mathbb{Z}]$$. Zbl 1420.81013
Rivin, Igor; Sardari, Naser T.
2019
Tessellating the moduli space of strictly convex projective structures on the once-punctured torus. Zbl 1429.57021
Haraway, Robert C. III; Tillmann, Stephan
2019
Super-isolated elliptic curves and abelian surfaces in cryptography. Zbl 1425.11192
Scholl, Travis
2019
The (not so simple!) chain fountain. Zbl 1427.82051
Martins, Rogério
2019
Numerical methods and closed orbits in the Kepler-Heisenberg problem. Zbl 1425.70020
Dods, Victor; Shanbrom, Corey
2019
The generalized Nagell-Ljunggren problem: powers with repetitive representations. Zbl 1475.11050
Bridy, Andrew; Oliver, Robert J. Lemke; Shallit, Arlo; Shallit, Jeffrey
2019
The triple lattice PETs. Zbl 1434.37024
Yi, Ren
2019
Finding new limit points of Mahler’s measure by genetic algorithms. Zbl 1454.11196
Otmani, S. El; Rhin, G.; Sac-Épée, Jean-Marc
2019
The worst balanced partially ordered sets-ladders with broken rungs. Zbl 07068033
Peczarski, Marcin
2019
Integral bases and monogenity of composite fields. Zbl 07068036
Gaál, István; Remete, László
2019
Corrigendum to: “Could René Descartes have known this?”. (Corrigendum to: “Could René Descrates have known this?”.) Zbl 1435.26009
Forsgård, Jens; Kostov, Vladimir Petrov; Shapiro, Boris
2019
Random point sets on the sphere – hole radii, covering, and separation. Zbl 1386.52019
Brauchart, J. S.; Reznikov, A. B.; Saff, E. B.; Sloan, I. H.; Wang, Y. G.; Womersley, R. S.
2018
Improving the semidefinite programming bound for the kissing number by exploiting polynomial symmetry. Zbl 1401.52028
Caluza Machado, Fabrício; de Oliveira Filho, Fernando Mário
2018
Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form? Zbl 1405.15037
Ekström, Sven-Erik; Garoni, Carlo; Serra-Capizzano, Stefano
2018
Search for torsion in Khovanov homology. Zbl 1405.57016
Mukherjee, Sujoy; Przytycki, Józef H.; Silvero, Marithania; Wang, Xiao; Yang, Seung Yeop
2018
A construction principle for tight and minimal triangulations of manifolds. Zbl 1395.57030
Burton, Benjamin A.; Datta, Basudeb; Singh, Nitin; Spreer, Jonathan
2018
Note on the class number of the $$p$$th cyclotomic field. II. Zbl 1427.11113
Fujima, Shoichi; Ichimura, Humio
2018
Salem numbers and Enriques surfaces. Zbl 1404.14043
Dolgachev, Igor
2018
Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives. Zbl 1450.11124
Bailey, David H.; Borwein, J. M.
2018
Irreducibility of random polynomials. Zbl 1405.11031
Borst, Christian; Boyd, Evan; Brekken, Claire; Solberg, Samantha; Wood, Melanie Matchett; Wood, Philip Matchett
2018
A lower bound for the dimension of Bernoulli convolutions. Zbl 1405.28009
Hare, Kevin G.; Sidorov, Nikita
2018
On the minimum number of Hamiltonian cycles in regular graphs. Zbl 1403.05082
Haythorpe, Micheal
2018
The status of the Zassenhaus conjecture for small groups. Zbl 1403.16034
Bächle, Andreas; Herman, Allen; Konovalov, Alexander; Margolis, Leo; Singh, Gurmail
2018
Zariski dense surface subgroups in $$\mathrm{SL}(4,\mathbb{Z})$$. Zbl 1393.22008
Long, D. D.; Thistlethwaite, M. B.
2018
On the approximate periodicity of sequences attached to non-crystallographic root systems. Zbl 1423.13126
Lampe, Philipp
2018
An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra. Zbl 06959337
Morita, Shigeyuki; Sakasai, Takuya; Suzuki, Masaaki
2018
Periods of modular $$\mathrm{GL}_2$$-type abelian varieties and $$p$$-adic integration. Zbl 1443.11125
Guitart, Xavier; Masdeu, Marc
2018
Principal congruence links: class number greater than 1. Zbl 1411.57006
Baker, Mark D.; Reid, A. W.
2018
Conjectures involving a generalization of the sums of powers of integers. Zbl 1405.11026
Svinin, Andrei K.
2018
Algebraic description of Jacobians isogenous to certain Prym varieties with polarization $$(1,2)$$. (Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization $$(1,2)$$.) Zbl 1412.14022
Enolski, V. Z.; Fedorov, Yu. N.
2018
New lower bounds for binary constant-dimension subspace codes. Zbl 1391.51005
Braun, Michael; Östergård, Patric R. J.; Wassermann, Alfred
2018
Eisenstein congruences for $$\mathrm{SO}(4,3)$$, $$\mathrm{SO}(4,4)$$, spinor, and triple product $$L$$-values. Zbl 1416.11066
Bergström, Jonas; Dummigan, Neil; Mégarbané, Thomas; Ibukiyama, Tomoyoshi; Katsurada, Hidenori
2018
The Links-Gould invariant as a classical generalization of the Alexander polynomial? Zbl 1401.57025
Kohli, Ben-Michael
2018
The restricted Ermolaev algebra and $$F_4$$. Zbl 1441.17017
Purslow, Thomas
2018
Differential equations and exact solutions in the moving sofa problem. Zbl 1401.49064
Romik, Dan
2018
Fan realizations for some 2-associahedra. Zbl 1406.52026
Manneville, Thibault
2018
A note on lattice packings via lattice refinements. Zbl 1388.52011
Henk, Martin
2018
Analogues of the $$3x+1$$ problem in polynomial rings of characteristic 2. Zbl 1446.11045
Nichols, Daniel
2018
A counterexample to a conjecture by Błocki-Zwonek. Zbl 1394.32029
Åhag, P.; Czyż, R.; Lundow, P. H.
2018
New computations of the Riemann zeta function on the critical line. Zbl 1442.11172
Bober, Jonathan W.; Hiary, Ghaith A.
2018
The existence of minimal logarithmic signatures for some finite simple groups. Zbl 1401.94173
Rahimipour, A. R.; Ashrafi, A. R.; Gholami, A.
2018
Combinatorial decompositions, Kirillov-Reshetikhin invariants, and the volume conjecture for hyperbolic polyhedra. Zbl 1391.52015
Kolpakov, Alexander; Murakami, Jun
2018
Discovering and proving infinite binomial sums identities. Zbl 1365.05009
Ablinger, Jakob
2017
Completely decomposable Jacobian varieties in new genera. Zbl 1393.14026
Paulhus, Jennifer; Rojas, Anita M.
2017
Simultaneous torsion in the Legendre family. Zbl 1386.14122
Stoll, Michael
2017
A hidden signal in the Ulam sequence. Zbl 1422.11019
Steinerberger, Stefan
2017
Onset of the asymptotic regime for (uniformly random) finite orders. Zbl 1367.05011
Henson, Joe; Rideout, David; Sorkin, Rafael D.; Surya, Sumati
2017
On wild frieze patterns. Zbl 1367.05207
Cuntz, Michael
2017
Spectral gap for random-to-random shuffling on linear extensions. Zbl 1360.60133
Ayyer, Arvind; Schilling, Anne; Thiéry, Nicolas M.
2017
Non-normal very ample polytopes – constructions and examples. Zbl 1375.52013
Lasoń, Michał; Michałek, Mateusz
2017
Threefolds from solutions of a partial differential equation. Zbl 1374.14036
García Escudero, Juan
2017
Partitions of minimal length on manifolds. Zbl 1397.49040
Bogosel, Beniamin; Oudet, Édouard
2017
Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133
Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen
2017
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### Cited by 6,936 Authors

 31 Borwein, Jonathan Michael 29 Xu, Ce 27 Sofo, Anthony 23 Bailey, David Harold 22 Morozov, Alexei Yurievich 19 Hauenstein, Jonathan D. 18 Sottile, Frank 18 Strichartz, Robert S. 17 Ash, Avner 17 Dummigan, Neil 17 Gunnells, Paul E. 17 Mészáros, Karola 17 Tabachnikov, Serge L. 16 Mironov, Andrei D. 15 Bobenko, Alexander Ivanovich 15 Dong, Xinhan 15 Lalín, Matilde Noemí 15 Nebe, Gabriele 15 Reid, Alan W. 14 Burton, Benjamin A. 14 Chu, Wenchang 14 De Schepper, Hennie 14 Garoufalidis, Stavros 14 Gukov, Sergei 14 Miller, Steven J. 14 Shlapentokh, Alexandra 14 Shparlinski, Igor E. 13 Crandall, Richard E. 13 Gaál, István 13 Gravner, Janko 13 Jørgensen, Palle E. T. 13 Kapovich, Ilya 13 Sommen, Franciscus 13 Zudilin, Wadim 12 De Bruyn, Bart 12 Duncan, John F. R. 12 Fominykh, Evgeny Anatol’evich 12 Jorgenson, Jay Alan 12 Lau, Kasing 12 Mireles-James, Jason D. 12 Müller, Jürgen 12 Pohst, Michael E. 12 Smajlović, Lejla 12 Spreer, Jonathan 11 Brackx, Fred F. 11 Gaubert, Stéphane 11 Şengün, Mehmet Haluk 11 Suris, Yuri Borisovich 11 Vesnin, Andrei Yu. 10 de la Llave, Rafael 10 Eie, Minking 10 Guitart, Xavier 10 Harrison, Sarah M. 10 Herbig, Hans-Christian 10 Jorba, Àngel 10 McConnell, Mark 10 Mixon, Dustin G. 10 Ono, Ken 10 Petrera, Matteo 10 Seaton, Christopher 10 Stoll, Michael 10 Then, Holger 9 De Ridder, Hilde 9 Delaunay, Christophe 9 Dunfield, Nathan M. 9 Dutour-Sikiric, Mathieu 9 Freitas, Pedro 9 Garcia, Stephan Ramon 9 González, Josep R. 9 Guillera, Jesús 9 Ikenmeyer, Christian 9 Jenkinson, Oliver 9 Kimmel, Ron 9 Landsberg, Joseph Montague 9 Michałek, Mateusz 9 Ngai, Sze-Man 9 Pilgrim, Kevin M. 9 Reyes-Carocca, Sebastián 9 Soucek, Vladimir 9 Straub, Armin 8 Allamigeon, Xavier 8 Bachoc, Christine 8 Cristofori, Paola 8 Devaney, Robert L. 8 Duran, Antonio J. 8 Falbel, Elisha 8 Freitas, Nuno 8 Escudero, Juan García 8 Haas, John I. IV 8 Han, Guo-Niu 8 Hawkins, Jane M. 8 Ichim, Bogdan 8 Katsurada, Hidenori 8 Klüners, Jürgen 8 Lamzouri, Youness 8 Lutz, Frank Hagen 8 Martelli, Bruno 8 Masdeu, Marc 8 Matiyasevich, Yuriĭ Vladimirovich 8 Moll, Victor Hugo ...and 6,836 more Authors
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### Cited in 627 Journals

 241 Journal of Number Theory 223 Experimental Mathematics 179 Mathematics of Computation 138 Journal of Algebra 118 Transactions of the American Mathematical Society 117 Proceedings of the American Mathematical Society 99 Advances in Mathematics 94 International Journal of Number Theory 89 Journal of Knot Theory and its Ramifications 82 Journal of High Energy Physics 76 Journal of Symbolic Computation 74 Journal de Théorie des Nombres de Bordeaux 71 The Ramanujan Journal 69 Algebraic & Geometric Topology 61 Journal of Mathematical Analysis and Applications 57 Duke Mathematical Journal 55 Communications in Mathematical Physics 53 Mathematische Zeitschrift 51 Linear Algebra and its Applications 49 Discrete & Computational Geometry 48 Geometriae Dedicata 48 Journal of Pure and Applied Algebra 48 Mathematische Annalen 48 LMS Journal of Computation and Mathematics 45 Journal of Computational Physics 43 Geometry & Topology 40 Discrete Mathematics 40 Journal of Combinatorial Theory. Series A 38 Topology and its Applications 37 Inventiones Mathematicae 37 The Electronic Journal of Combinatorics 35 Journal of Geometry and Physics 35 Research in Number Theory 34 Rocky Mountain Journal of Mathematics 34 Annales de l’Institut Fourier 34 Physica D 33 Ergodic Theory and Dynamical Systems 33 Computer Aided Geometric Design 32 Applied Mathematics and Computation 32 European Journal of Combinatorics 31 Israel Journal of Mathematics 31 Bulletin of the American Mathematical Society. New Series 30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 29 Journal of Mathematical Physics 28 Mathematical Proceedings of the Cambridge Philosophical Society 28 Journal of the American Mathematical Society 27 Compositio Mathematica 27 Journal of Computational and Applied Mathematics 27 Advances in Applied Mathematics 26 Communications in Algebra 26 Journal of Algebraic Combinatorics 26 Chaos 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Acta Arithmetica 24 Conformal Geometry and Dynamics 24 Annals of Mathematics. Second Series 22 Manuscripta Mathematica 22 The Journal of Geometric Analysis 21 Functiones et Approximatio. Commentarii Mathematici 21 International Journal of Algebra and Computation 20 Bulletin of the Australian Mathematical Society 20 Journal of Mathematical Sciences (New York) 20 Integral Transforms and Special Functions 19 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 19 Integers 18 Journal of Fluid Mechanics 18 Chaos, Solitons and Fractals 18 Monatshefte für Mathematik 18 Annals of Combinatorics 18 Journal of the European Mathematical Society (JEMS) 18 Computational Methods and Function Theory 18 Proceedings of the Steklov Institute of Mathematics 18 Research in the Mathematical Sciences 17 Journal of Statistical Physics 17 Theoretical Computer Science 17 SIAM Journal on Discrete Mathematics 17 International Journal of Mathematics 17 Geometric and Functional Analysis. GAFA 17 Selecta Mathematica. New Series 16 Discrete Applied Mathematics 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Designs, Codes and Cryptography 16 Communications in Nonlinear Science and Numerical Simulation 15 Computer Methods in Applied Mechanics and Engineering 15 Letters in Mathematical Physics 15 Archiv der Mathematik 15 Journal of Functional Analysis 15 Proceedings of the London Mathematical Society. Third Series 15 Journal of Difference Equations and Applications 15 Séminaire Lotharingien de Combinatoire 15 Foundations of Computational Mathematics 15 Forum of Mathematics, Sigma 14 Journal of Approximation Theory 14 Journal für die Reine und Angewandte Mathematik 14 Proceedings of the Japan Academy. Series A 14 Acta Mathematica Hungarica 14 Constructive Approximation 14 Revista Matemática Iberoamericana 14 Indagationes Mathematicae. New Series 13 Journal d’Analyse Mathématique ...and 527 more Journals
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### Cited in 63 Fields

 1,976 Number theory (11-XX) 826 Algebraic geometry (14-XX) 776 Manifolds and cell complexes (57-XX) 696 Combinatorics (05-XX) 687 Dynamical systems and ergodic theory (37-XX) 560 Group theory and generalizations (20-XX) 445 Numerical analysis (65-XX) 348 Differential geometry (53-XX) 331 Convex and discrete geometry (52-XX) 306 Computer science (68-XX) 280 Functions of a complex variable (30-XX) 270 Special functions (33-XX) 263 Quantum theory (81-XX) 200 Partial differential equations (35-XX) 185 Global analysis, analysis on manifolds (58-XX) 178 Commutative algebra (13-XX) 167 Measure and integration (28-XX) 163 Probability theory and stochastic processes (60-XX) 156 Several complex variables and analytic spaces (32-XX) 148 Linear and multilinear algebra; matrix theory (15-XX) 145 Nonassociative rings and algebras (17-XX) 136 Information and communication theory, circuits (94-XX) 130 Ordinary differential equations (34-XX) 119 Harmonic analysis on Euclidean spaces (42-XX) 113 Geometry (51-XX) 105 Fluid mechanics (76-XX) 101 Operations research, mathematical programming (90-XX) 100 Calculus of variations and optimal control; optimization (49-XX) 97 Topological groups, Lie groups (22-XX) 89 Associative rings and algebras (16-XX) 89 Mechanics of particles and systems (70-XX) 88 Statistical mechanics, structure of matter (82-XX) 84 Algebraic topology (55-XX) 74 Field theory and polynomials (12-XX) 70 Relativity and gravitational theory (83-XX) 60 Operator theory (47-XX) 51 Difference and functional equations (39-XX) 50 Mechanics of deformable solids (74-XX) 49 Functional analysis (46-XX) 47 Statistics (62-XX) 45 Real functions (26-XX) 44 Sequences, series, summability (40-XX) 44 Approximations and expansions (41-XX) 44 Biology and other natural sciences (92-XX) 43 Potential theory (31-XX) 42 Mathematical logic and foundations (03-XX) 37 $$K$$-theory (19-XX) 28 Order, lattices, ordered algebraic structures (06-XX) 28 Category theory; homological algebra (18-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 General topology (54-XX) 22 General and overarching topics; collections (00-XX) 20 History and biography (01-XX) 19 Systems theory; control (93-XX) 18 Classical thermodynamics, heat transfer (80-XX) 13 Integral transforms, operational calculus (44-XX) 12 Abstract harmonic analysis (43-XX) 11 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 5 Mathematics education (97-XX) 3 Integral equations (45-XX) 2 General algebraic systems (08-XX) 2 Astronomy and astrophysics (85-XX)