Edit Profile (opens in new tab) Lagarias, Jeffrey C. Co-Author Distance Author ID: lagarias.jeffrey-c Published as: Lagarias, Jeffrey C.; Lagarias, J. C.; Lagarias, Jeffrey; Lagarias, J. more...less Homepage: http://www.math.lsa.umich.edu/~lagarias/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 245 Publications since 1977, including 11 Additional arXiv Preprints 3 Contributions as Editor · 2 Further Contributions Software Indexed: 1 Package Reviewing Activity: 3 Reviews Co-Authors: 123 Co-Authors with 175 Joint Publications 4,550 Co-Co-Authors all top 5 Co-Authors 68 single-authored 16 Odlyzko, Andrew M. 13 Wang, Yang 7 Håstad, Johan Torkel 7 Reeds, James A. 6 Abram, William C. 6 Fishburn, Peter Clingerman 6 Flatto, Leopold 6 Rains, Eric M. 5 Daubechies, Ingrid 5 Hass, Joel 5 Mallows, Colin Lingwood 5 Richman, David Harry 5 Wilks, Allan R. 5 Yan, Catherine Huafei 4 Graham, Ronald Lewis 4 Kahn, Jeff D. 4 Li, Wen-Ch’ing Winnie 4 Pomerance, Carl Bernard 4 Schnorr, Claus Peter 4 Witsenhausen, Hans S. 3 Bayer, David Allen 3 Coffman, Edward Grady jun. 3 Kurlberg, Pär 3 Shearer, James B. 3 Shor, Peter Williston 3 Soundararajan, Kannan 2 Bell, Jason P. 2 Boppana, Ravi B. 2 Cohn, Harvey 2 Du, Lara 2 Helfrich, Bettina 2 Just, Bettina 2 Kontorovich, Alex V. 2 Kopp, Gene S. 2 Maddock, Zachary 2 Mehta, Harsh 2 Montague, David 2 Pleasants, Peter A. B. 2 Pollington, Andrew Douglas 2 Poonen, Bjorn 2 Porta, Horacio A. 2 Rhoades, Robert C. 2 Richardson, Thomas J. 2 Rodgers, Brad 2 Shallit, Jeffrey Outlaw 2 Shepp, Lawrence Alan 2 Sloane, Neil James Alexander 2 Slonim, Daniel J. 2 Spencer, Joel H. 2 Stolarsky, Kenneth B. 2 Vanderbei, Robert Joseph 2 Wright, Margaret H. 2 Wright, Paul E. 2 Yangjit, Wijit 1 Adams, Fred C. 1 Aminzadeh, Fred 1 Andersen, Nickolas 1 Baker, Brenda S. 1 Bernstein, Daniel Julius 1 Bloch, Anthony Michael 1 Bolshakov, Artem 1 Bombieri, Enrico 1 Brickell, Ernest F. 1 Bruno, John L. 1 Buhler, Joe P. 1 Butler, Steven Kay 1 Calderbank, Arthur Robert 1 Chung, Fan 1 Conway, John Horton 1 Diaconis, Persi Warren 1 Dolbilin, Nikolaĭ Petrovich 1 Doyle, Peter G. 1 Ehrlich, Philip 1 Eriksson, Nicholas 1 Feigenbaum, Joan 1 Ferguson, Samuel P. 1 Frankl, Péter 1 Freed, Daniel Stuart 1 Friedlander, John Benjamin 1 Frieze, Alan Michael 1 Furedi, Zoltan 1 Garcia, Stephan Ramon 1 Garfunkel, Solomon A. 1 Gehrlein, William V. 1 Geoghegan, Ross 1 Gopinath, B. 1 Gowers, William Timothy 1 Grabiner, David J. 1 Griggs, Jerrold R. 1 Güntürk, Cemalettin Sinan 1 Hales, Thomas Callister 1 Hurlbert, Glenn H. 1 Hwang, Frank Kwangming 1 Hyde, Trevor 1 Kannan, Ravindran 1 Karmarkar, Narendra K. 1 Kauffman, Louis Hirsch 1 Kenyon, Richard W. 1 Kim, Jeong Han 1 Knuth, Donald Ervin ...and 44 more Co-Authors all top 5 Serials 13 Discrete & Computational Geometry 12 Journal of Number Theory 10 Acta Arithmetica 7 American Mathematical Monthly 7 Experimental Mathematics 6 SIAM Journal on Computing 6 Transactions of the American Mathematical Society 5 Mathematics of Computation 5 Ergodic Theory and Dynamical Systems 4 Journal of Combinatorial Theory. Series A 4 Journal of the London Mathematical Society. Second Series 4 Linear Algebra and its Applications 4 SIAM Journal on Optimization 4 The Journal of Fourier Analysis and Applications 4 The Ramanujan Journal 3 Discrete Mathematics 3 Canadian Journal of Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Advances in Applied Mathematics 3 SIAM Journal on Discrete Mathematics 3 Forum Mathematicum 3 Bulletin of the American Mathematical Society. New Series 3 Notices of the American Mathematical Society 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of Difference Equations and Applications 3 International Journal of Number Theory 2 Annales de l’Institut Fourier 2 Canadian Mathematical Bulletin 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Mathematics of Operations Research 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of Algorithms 2 SIAM Journal on Algebraic and Discrete Methods 2 The Annals of Applied Probability 2 IMRN. International Mathematics Research Notices 2 Journal of the Australian Mathematical Society. Series A 2 SIAM Journal on Mathematical Analysis 2 Journal of Fractal Geometry 2 Research in the Mathematical Sciences 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 IEEE Transactions on Information Theory 1 Information Processing Letters 1 Nonlinearity 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Commentarii Mathematici Universitatis Sancti Pauli 1 The Fibonacci Quarterly 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 International Journal of Game Theory 1 Journal of the Association for Computing Machinery 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Mathematische Annalen 1 European Journal of Combinatorics 1 Combinatorica 1 Order 1 Algorithmica 1 AT&T Technical Journal 1 Information and Computation 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 L’Enseignement Mathématique. 2e Série 1 SIAM Journal on Applied Mathematics 1 Computer Networks and ISDN Systems 1 Mathematical Programming. Series A. Series B 1 Journal of the ACM 1 The Quarterly Journal of Mathematics 1 Integers 1 Contemporary Mathematics 1 Communications in Number Theory and Physics 1 RIMS Kôkyûroku Bessatsu 1 Arnold Mathematical Journal 1 Research in Number Theory all top 5 Fields 145 Number theory (11-XX) 42 Convex and discrete geometry (52-XX) 40 Dynamical systems and ergodic theory (37-XX) 27 Computer science (68-XX) 26 Combinatorics (05-XX) 18 Information and communication theory, circuits (94-XX) 16 Operations research, mathematical programming (90-XX) 13 Measure and integration (28-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Real functions (26-XX) 12 Numerical analysis (65-XX) 11 Probability theory and stochastic processes (60-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Group theory and generalizations (20-XX) 7 Difference and functional equations (39-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 6 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Geometry (51-XX) 6 Manifolds and cell complexes (57-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Field theory and polynomials (12-XX) 3 Mathematical logic and foundations (03-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 2 Algebraic geometry (14-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 210 Publications have been cited 4,586 times in 3,345 Documents Cited by ▼ Year ▼ Convergence properties of the Nelder–Mead simplex method in low dimensions. Zbl 1005.90056 Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.; Wright, Paul E. 348 1998 Effective versions of the Chebotarev density theorem. Zbl 0362.12011 Lagarias, J. C.; Odlyzko, A. M. 202 1977 Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013 Daubechies, Ingrid; Lagarias, Jeffrey C. 171 1992 Sets of matrices all infinite products of which converge. Zbl 0746.15015 Daubechies, Ingrid; Lagarias, Jeffrey C. 150 1992 Self-affine tiles in \(\mathbb{R}^n\). Zbl 0893.52013 Lagarias, Jeffrey C.; Wang, Yang 141 1996 Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018 Daubechies, Ingrid; Lagarias, Jeffrey C. 129 1991 The \(3x+1\) problem and its generalizations. Zbl 0566.10007 Lagarias, Jeffrey C. 119 1985 Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings. Zbl 0893.52015 Lagarias, Jeffrey C.; Wang, Yang 95 1997 Integral self-affine tiles in \(\mathbb{R}^n\). I: Standard and nonstandard digit sets. Zbl 0893.52014 Lagarias, Jeffrey C.; Wang, Yang 91 1996 The finiteness conjecture for the generalized spectral radius of a set of matrices. Zbl 0818.15007 Lagarias, Jeffrey C.; Wang, Yang 89 1995 Tiling the line with translates of one tile. Zbl 0847.05037 Lagarias, Jeffrey C.; Wang, Yang 83 1996 Bounds for lattice polytopes containing a fixed number of interior points in a sublattice. Zbl 0752.52010 Lagarias, Jeffrey C.; Ziegler, Günter M. 80 1991 Euler’s constant: Euler’s work and modern developments. Zbl 1282.11002 Lagarias, Jeffrey C. 80 2013 The nonlinear geometry of linear programming. I: Affine and projective scaling trajectories. Zbl 0671.90045 Bayer, D. A.; Lagarias, J. C. 78 1989 Tiling with polyominoes and combinatorial group theory. Zbl 0741.05019 Conway, J. H.; Lagarias, J. C. 77 1990 Repetitive Delone sets and quasicrystals. Zbl 1062.52021 Lagarias, Jeffrey C.; Pleasants, Peter A. B. 76 2003 A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014 Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M. 74 1979 Mathematical quasicrystals and the problem of diffraction. Zbl 1161.52312 Lagarias, Jeffrey C. 68 2000 Solving low-density subset sum problems. Zbl 0632.94007 Lagarias, J. C.; Odlyzko, A. M. 67 1985 Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Zbl 0723.11029 Lagarias, J. C.; Lenstra, H. W. jun.; Schnorr, C. P. 67 1990 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079 Bombieri, Enrico; Lagarias, Jeffrey C. 65 1999 The computational complexity of simultaneous diophantine approximation problems. Zbl 0563.10025 Lagarias, J. C. 64 1985 The computational complexity of knot and link problems. Zbl 1065.68667 Hass, Joel; Lagarias, Jeffrey C.; Pippenger, Nicholas 60 1999 The nonlinear geometry of linear programming. II: Legendre transform coordinates and central trajectories. Zbl 0671.90046 Bayer, D. A.; Lagarias, J. C. 58 1989 Spectral sets and factorizations of finite abelian groups. Zbl 0898.47002 Lagarias, Jeffrey C.; Wang, Yang 53 1997 Apollonian circle packings: Number theory. Zbl 1026.11058 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 53 2003 Orthonormal bases of exponentials for the \(n\)-cube. Zbl 0978.42007 Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang 52 2000 Meyer’s concept of quasicrystal and quasiregular sets. Zbl 0858.52010 Lagarias, J. C. 50 1996 Geometric models for quasicrystals. I. Delone sets of finite type. Zbl 0924.68190 Lagarias, J. C. 50 1999 Keller’s cube-tiling conjecture is false in high dimensions. Zbl 0759.52013 Lagarias, Jeffrey C.; Shor, Peter W. 46 1992 The Takagi function and its properties. Zbl 1275.26011 Lagarias, Jeffrey C. 43 2012 Structure of tilings of the line by a function. Zbl 0854.58016 Kolountzakis, Mihail N.; Lagarias, Jeffrey C. 39 1996 The ultimate challenge. The \(3x+1\) problem. Zbl 1253.11003 39 2010 Haar type orthonormal wavelet bases in \(R^2\). Zbl 0908.42022 Lagarias, Jeffrey C.; Wang, Yang 35 1995 Sets uniquely determined by projections on axes. II: Discrete case. Zbl 0752.44002 Fishburn, P. C.; Lagarias, J. C.; Reeds, J. A.; Shepp, L. A. 33 1991 Geodesic multidimensional continued fractions. Zbl 0813.11040 Lagarias, J. C. 33 1994 Apollonian circle packings: Geometry and group theory. I: The Apollonian group. Zbl 1085.52010 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 33 2005 The number of Reidemeister moves needed for unknotting. Zbl 0964.57005 Hass, Joel; Lagarias, Jeffrey C. 32 2001 The quality of the diophantine approximations found by the Jacobi–Perron algorithm and related algorithms. Zbl 0790.11059 Lagarias, J. C. 31 1993 Beyond the Descartes circle theorem. Zbl 1027.51022 Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R. 31 2002 Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024 Daubechies, Ingrid; Lagarias, Jeffrey C. 30 2001 Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory. Zbl 0886.11062 Lagarias, Jeffrey C.; Wang, Yang 29 1996 Reconstructing truncated integer variables satisfying linear congruences. Zbl 0654.10006 Frieze, Alan M.; Håstad, Johan; Kannan, Ravi; Lagarias, Jeffrey C.; Shamir, Adi 29 1988 Polynomial time algorithms for finding integer relations among real numbers. Zbl 0692.10033 Håstad, Johan; Just, B.; Lagarias, J. C.; Schnorr, C. P. 29 1989 Li coefficients for automorphic \(L\)-functions. Zbl 1216.11078 Lagarias, Jeffrey 27 2007 On the thermodynamic formalism for multifractal functions. Zbl 0843.58091 Daubechies, Ingrid; Lagarias, Jeffrey C. 26 1994 An elementary problem equivalent to the Riemann hypothesis. Zbl 1098.11005 Lagarias, Jeffrey C. 26 2002 Best simultaneous Diophantine approximations. I: Growth rates of best approximation denominators. Zbl 0495.10021 Lagarias, J. C. 25 1982 Substitution Delone sets. Zbl 1037.52017 Lagarias, Jeffrey C.; Wang, Yang 25 2003 Worst-case complexity bounds for algorithms in the theory of integral quadratic forms. Zbl 0473.68030 Lagarias, J. C. 24 1980 Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations. Zbl 0497.10025 Lagarias, J. C. 24 1982 The zeta function of the beta transformation. Zbl 0843.58106 Flatto, Leopold; Lagarias, Jeffrey C.; Poonen, Bjorn 23 1994 I.I. Dikin’s convergence result for the affine-scaling algorithm. Zbl 0727.90050 Vanderbei, R. J.; Lagarias, J. C. 23 1990 The set of primes dividing the Lucas numbers has density 2/3. Zbl 0569.10003 Lagarias, J. C. 21 1985 Pseudorandom number generators in cryptography and number theory. Zbl 0747.94011 Lagarias, J. C. 20 1990 Apollonian circle packings: Geometry and group theory. III: Higher dimensions. Zbl 1085.52012 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 20 2006 On the range of fractional parts \(\{\xi(p/q)^ n\}\). Zbl 0821.11038 Flatto, Leopold; Lagarias, Jeffrey C.; Pollington, Andrew D. 19 1995 On the computational complexity of determining the solvability or unsolvability of the equation \(X^2-DY^2=-1\). Zbl 0446.10014 Lagarias, J. C. 19 1980 Apollonian circle packings: Geometry and group theory. II: Super-Apollonian group and integral packings. Zbl 1085.52011 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 19 2006 Computing \(\pi(x)\): an analytic method. Zbl 0622.10027 Lagarias, J. C.; Odlyzko, A. M. 19 1987 Universal spectra and Tijdeman’s conjecture on factorization of cyclic groups. Zbl 0988.47006 Lagarias, Jeffrey C.; Szabó, Sándor 17 2001 Computing \(\pi(x)\): the Meissel-Lehmer method. Zbl 0564.10006 Lagarias, J. C.; Miller, V. S.; Odlyzko, A. M. 17 1985 Karmarkar’s linear programming algorithm and Newton’s method. Zbl 0736.90053 Bayer, D. A.; Lagarias, J. C. 16 1991 Number theory and dynamical systems. Zbl 0773.11051 Lagarias, J. C. 16 1992 Multiregular point systems. Zbl 0915.51017 Dolbilin, N. P.; Lagarias, J. C.; Senechal, M. 16 1998 Ternary expansions of powers of 2. Zbl 1193.11008 Lagarias, Jeffrey C. 16 2009 The nonlinear geometry of linear programming. III: Projective Legendre transform coordinates and Hilbert geometry. Zbl 0699.90070 Lagarias, J. C. 16 1990 Cube-tilings of \(\mathbb{R}^ n\) and nonlinear codes. Zbl 0804.52013 Lagarias, J. C.; Shor, P. W. 15 1994 The set of rational cycles for the \(3x+1\) problem. Zbl 0773.11017 Lagarias, Jeffrey C. 13 1990 Benford’s law for the \(3x+1\) function. Zbl 1117.11018 Lagarias, Jeffrey C.; Soundararajan, K. 13 2006 On the existence of fields governing the 2-invariants of the classgroup of \(Q(\sqrt{dp})\) as p varies. Zbl 0523.12002 Cohn, Harvey; Lagarias, J. C. 13 1983 The \(3x +1\) problem: Two stochastic models. Zbl 0742.60027 Lagarias, J. C.; Weiss, A. 12 1992 Self-packing of centrally symmetric convex bodies in \(\mathbb{R}{}^ 2\). Zbl 0756.52016 Doyle, P. G.; Lagarias, J. C.; Randall, D. 12 1992 Mysteries in packing regular tetrahedra. Zbl 1284.52018 Lagarias, Jeffrey C.; Zong, Chuanming 12 2012 On computing Artin L-functions in the critical strip. Zbl 0409.12017 Lagarias, J. C.; Odlyzko, A. M. 12 1979 Pinwheel scheduling: Achievable densities. Zbl 1016.68007 Fishburn, P. C.; Lagarias, J. C. 12 2002 Local complexity of Delone sets and crystallinity. Zbl 1016.52013 Lagarias, Jeffrey C.; Pleasants, Peter A. B. 12 2002 Hilbert spaces of entire functions and Dirichlet \(L\)-functions. Zbl 1121.11057 Lagarias, Jeffrey C. 12 2006 The Lerch zeta function. I: Zeta integrals. Zbl 1253.11085 Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 12 2012 The Lerch zeta function. II: Analytic continuation. Zbl 1253.11086 Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 12 2012 Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory. Zbl 1007.11066 Lagarias, Jeffrey C.; Wang, Yang 11 1999 The Riemann hypothesis for certain integrals of Eisenstein series. Zbl 1208.11106 Lagarias, Jeffrey C.; Suzuki, Masatoshi 11 2006 Power series variants of Karmarkar-type algorithms. Zbl 0682.90060 Karmarkar, Narendra K.; Lagarias, Jeffrey C.; Slutsman, Lev; Wang, Pyng 11 1989 Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044 Lagarias, Jeffrey C.; Rains, Eric 11 2005 Zero spacing distributions for differenced \(L\)-functions. Zbl 1120.11037 Lagarias, Jeffrey C. 10 2005 The Schrödinger operator with Morse potential on the right half-line. Zbl 1202.34149 Lagarias, Jeffrey C. 10 2009 Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029 Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H. 10 2012 On a two-variable zeta function for number fields. Zbl 1106.11036 Lagarias, Jeffrey C.; Rains, Eric 10 2003 Probabilities for intersecting systems and random subsets of finite sets. Zbl 0582.60014 Fishburn, P. C.; Frankl, P.; Freed, D.; Lagarias, J. C.; Odlyzko, A. M. 10 1986 Asymmetric tent map expansions. I: Eventually periodic points. Zbl 0809.11041 Lagarias, J. C.; Porta, H. A.; Stolarsky, K. B. 9 1993 Geometric models for quasicrystals. II. Local rules under isometries. Zbl 0930.51019 Lagarias, J. C. 9 1999 Some new results in simultaneous diophantine approximation. Zbl 0453.10035 Lagarias, J. C. 9 1980 Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045 Lagarias, Jeffrey C.; Rains, Eric 9 2005 The Kepler conjecture. The Hales-Ferguson proof. Including a special issue of Discrete & Computational Geometry. Zbl 1234.52002 9 2011 Level sets of the Takagi function: generic level sets. Zbl 1263.26020 Lagarias, Jeffrey C.; Maddock, Zachary 9 2011 Cutting sequences for geodesic flow on the modular surface and continued fractions. Zbl 1040.37008 Grabiner, David J.; Lagarias, Jeffrey C. 9 2001 Orthogonality criteria for compactly supported refinable functions and refinable function vectors. Zbl 0952.42017 Lagarias, Jeffrey C.; Wang, Yang 9 2000 Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\). Zbl 1418.11077 Lagarias, Jeffrey C.; Rhoades, Robert C. 9 2016 Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031 Lagarias, J. C.; Soundararajan, K. 9 2012 A polyomino tiling problem of Thurston and its configurational entropy. Zbl 0777.52013 Lagarias, J. C.; Romano, D. S. 8 1993 Characterizing the supernorm partition statistic. Zbl 1548.11132 Lagarias, Jeffrey C. 1 2024 Partial factorizations of products of binomial coefficients. Zbl 1491.11027 Du, Lara; Lagarias, Jeffrey C. 1 2022 Band-limited mimicry of point processes by point processes supported on a lattice. Zbl 1489.60086 Lagarias, Jeffrey C.; Rodgers, Brad 3 2021 On toric orbits in the affine sieve. Zbl 1486.11119 Kontorovich, Alex; Lagarias, Jeffrey 2 2021 Decimation and interleaving operations in one-sided symbolic dynamics. Zbl 1477.37018 Abram, William C.; Lagarias, Jeffrey C.; Slonim, Daniel J. 1 2021 Higher correlations and the alternative hypothesis. Zbl 1439.11216 Lagarias, Jeffrey C.; Rodgers, Brad 3 2020 Dilated floor functions having nonnegative commutator. I: Positive and mixed sign dilations. Zbl 1454.11012 Lagarias, Jeffrey C.; Richman, David Harry 3 2019 Configuration spaces of equal spheres touching a given sphere: the twelve spheres problem. Zbl 1442.52015 Kusner, Rob; Kusner, Wöden; Lagarias, Jeffrey C.; Shlosman, Senya 8 2018 Shifted polyharmonic Maass forms for \(\text{PSL} (2,{\mathbb Z})\). Zbl 1440.11078 Andersen, Nickolas; Lagarias, Jeffrey C.; Rhoades, Robert C. 6 2018 Moser’s shadow problem. Zbl 1426.52004 Lagarias, Jeffrey C.; Luo, Yusheng; Padrol, Arnau 2 2018 Polynomial splitting measures and cohomology of the pure braid group. Zbl 1469.11416 Hyde, Trevor; Lagarias, Jeffrey C. 4 2017 Products of Farey fractions. Zbl 1422.11167 Lagarias, Jeffrey C.; Mehta, Harsh 3 2017 Intersections of multiplicative translates of 3-adic Cantor sets. II: Two infinite families. Zbl 1422.11163 Abram, William C.; Bolshakov, Artem; Lagarias, Jeffrey C. 2 2017 Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\). Zbl 1418.11077 Lagarias, Jeffrey C.; Rhoades, Robert C. 9 2016 The Lerch zeta function. III: Polylogarithms and special values. Zbl 1412.11110 Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 6 2016 Products of binomial coefficients and unreduced Farey fractions. Zbl 1360.11037 Lagarias, Jeffrey C.; Mehta, Harsh 5 2016 The Lerch zeta function. IV: Hecke operators. Zbl 1411.11081 Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 4 2016 Dilated floor functions that commute. Zbl 1391.11008 Lagarias, Jeffrey C.; Murayama, Takumi; Richman, D. Harry 4 2016 A family of measures on symmetric groups and the field with one element. Zbl 1337.11074 Lagarias, Jeffrey C. 3 2016 Erdős, Klarner, and the \(3x+1\) problem. Zbl 1391.11020 Lagarias, Jeffrey C. 1 2016 Splitting behavior of \(S_n\)-polynomials. Zbl 1378.11092 Lagarias, Jeffrey C.; Weiss, Benjamin L. 4 2015 A Skolem-Mahler-Lech theorem for iterated automorphisms of \(K\)-algebras. Zbl 1370.11048 Bell, Jason P.; Lagarias, Jeffrey C. 3 2015 \(p\)-adic path set fractals and arithmetic. Zbl 1291.11107 Abram, William C.; Lagarias, Jeffrey C. 6 2014 Path sets in one-sided symbolic dynamics. Zbl 1347.37027 Abram, William C.; Lagarias, Jeffrey C. 5 2014 Intersections of multiplicative translates of 3-adic Cantor sets. Zbl 1332.11074 Abram, William C.; Lagarias, Jeffrey C. 4 2014 Erratum: “Polynomial time algorithms for finding integer relations among real numbers”. Zbl 1290.11106 Håstad, J.; Just, B.; Lagarias, J. C.; Schnorr, C. P. 1 2014 Euler’s constant: Euler’s work and modern developments. Zbl 1282.11002 Lagarias, Jeffrey C. 80 2013 Random Hill’s equations, random walks, and products of random matrices. Zbl 1321.34043 Adams, Fred C.; Bloch, Anthony M.; Lagarias, Jeffrey C. 2 2013 The Takagi function and its properties. Zbl 1275.26011 Lagarias, Jeffrey C. 43 2012 Mysteries in packing regular tetrahedra. Zbl 1284.52018 Lagarias, Jeffrey C.; Zong, Chuanming 12 2012 The Lerch zeta function. I: Zeta integrals. Zbl 1253.11085 Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 12 2012 The Lerch zeta function. II: Analytic continuation. Zbl 1253.11086 Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 12 2012 Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029 Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H. 10 2012 Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031 Lagarias, J. C.; Soundararajan, K. 9 2012 Level sets of the Takagi function: local level sets. Zbl 1248.26008 Lagarias, Jeffrey C.; Maddock, Zachary 7 2012 Product-free sets with high density. Zbl 1357.11028 Kurlberg, Pär; Lagarias, Jeffrey C.; Pomerance, Carl 1 2012 The Kepler conjecture. The Hales-Ferguson proof. Including a special issue of Discrete & Computational Geometry. Zbl 1234.52002 9 2011 Level sets of the Takagi function: generic level sets. Zbl 1263.26020 Lagarias, Jeffrey C.; Maddock, Zachary 9 2011 Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture. Zbl 1270.11032 Lagarias, Jeffrey C.; Soundararajan, Kannan 6 2011 The integral of the Riemann \(\xi\)-function. Zbl 1270.11085 Lagarias, Jeffrey C.; Montague, David 1 2011 The ultimate challenge. The \(3x+1\) problem. Zbl 1253.11003 39 2010 The \(3x+1\) problem: an overview. Zbl 1253.11036 Lagarias, Jeffrey C. 6 2010 Stochastic models for the \(3x+1\) and \(5x+1\) problems and related problems. Zbl 1253.11035 Kontorovich, Alex V.; Lagarias, Jeffrey C. 4 2010 Cyclic systems of simultaneous congruences. Zbl 1243.11050 Lagarias, Jeffrey C. 3 2010 The \(3x+1\) problem and its generalizations. Zbl 1253.11037 Lagarias, Jeffrey C. 1 2010 Ternary expansions of powers of 2. Zbl 1193.11008 Lagarias, Jeffrey C. 16 2009 The Schrödinger operator with Morse potential on the right half-line. Zbl 1202.34149 Lagarias, Jeffrey C. 10 2009 The Kruskal count. Zbl 1247.60107 Lagarias, Jeffrey C.; Rains, Eric; Vanderbei, Robert J. 2 2009 Li coefficients for automorphic \(L\)-functions. Zbl 1216.11078 Lagarias, Jeffrey 27 2007 Apollonian circle packings: number theory. II: Spherical and hyperbolic packings. Zbl 1165.11057 Eriksson, Nicholas; Lagarias, Jeffrey C. 6 2007 Apollonian circle packings: Geometry and group theory. III: Higher dimensions. Zbl 1085.52012 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 20 2006 Apollonian circle packings: Geometry and group theory. II: Super-Apollonian group and integral packings. Zbl 1085.52011 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 19 2006 Benford’s law for the \(3x+1\) function. Zbl 1117.11018 Lagarias, Jeffrey C.; Soundararajan, K. 13 2006 Hilbert spaces of entire functions and Dirichlet \(L\)-functions. Zbl 1121.11057 Lagarias, Jeffrey C. 12 2006 The Riemann hypothesis for certain integrals of Eisenstein series. Zbl 1208.11106 Lagarias, Jeffrey C.; Suzuki, Masatoshi 11 2006 The \(3x+1\) semigroup. Zbl 1163.11314 Applegate, David; Lagarias, Jeffrey C. 2 2006 The Riemann hypothesis: arithmetic and geometry. Zbl 1119.11051 Lagarias, Jeffrey C. 1 2006 Wild and Wooley numbers. Zbl 1232.11041 Lagarias, Jeffrey C. 1 2006 Apollonian circle packings: Geometry and group theory. I: The Apollonian group. Zbl 1085.52010 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 33 2005 Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044 Lagarias, Jeffrey C.; Rains, Eric 11 2005 Zero spacing distributions for differenced \(L\)-functions. Zbl 1120.11037 Lagarias, Jeffrey C. 10 2005 Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045 Lagarias, Jeffrey C.; Rains, Eric 9 2005 Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra. Zbl 1082.37046 Lagarias, Jeffrey C.; Rains, Eric 6 2005 Area inequalities for embedded disks spanning unknotted curves. Zbl 1104.53006 Hass, Joel; Lagarias, Jeffrey C.; Thurston, William P. 5 2004 Approximate squaring. Zbl 1115.11045 Lagarias, J. C.; Sloane, N. J. A. 1 2004 Repetitive Delone sets and quasicrystals. Zbl 1062.52021 Lagarias, Jeffrey C.; Pleasants, Peter A. B. 76 2003 Apollonian circle packings: Number theory. Zbl 1026.11058 Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 53 2003 Substitution Delone sets. Zbl 1037.52017 Lagarias, Jeffrey C.; Wang, Yang 25 2003 On a two-variable zeta function for number fields. Zbl 1106.11036 Lagarias, Jeffrey C.; Rains, Eric 10 2003 Bounds for the \(3x+1\) problem using difference inequalities. Zbl 1069.11011 Krasikov, Ilia; Lagarias, Jeffrey C. 7 2003 Lower bounds for the total stopping time of \(3x + 1\) iterates. Zbl 1052.11017 Applegate, David; Lagarias, Jeffrey C. 4 2003 The minimal number of triangles needed to span a polygon embedded in \(\mathbb R^d\). Zbl 1103.52013 Hass, Joel; Lagarias, Jeffrey C. 2 2003 Correction to: Linear fractional transformations of continued fractions with bounded partial quotients. Zbl 1071.11509 Lagarias, Jeffrey C.; Shallit, Jeffrey O. 2 2003 Beyond the Descartes circle theorem. Zbl 1027.51022 Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R. 31 2002 An elementary problem equivalent to the Riemann hypothesis. Zbl 1098.11005 Lagarias, Jeffrey C. 26 2002 Pinwheel scheduling: Achievable densities. Zbl 1016.68007 Fishburn, P. C.; Lagarias, J. C. 12 2002 Local complexity of Delone sets and crystallinity. Zbl 1016.52013 Lagarias, Jeffrey C.; Pleasants, Peter A. B. 12 2002 Bounds for local density of sphere packings and the Kepler conjecture. Zbl 1005.52011 Lagarias, J. C. 6 2002 Counting dyadic equipartitions of the unit square. Zbl 1007.05013 Lagarias, Jeffrey C.; Spencer, Joel H.; Vinson, Jade P. 3 2002 The EKG sequence. Zbl 1117.11302 Lagarias, J. C.; Rains, E. M.; Sloane, N. J. A. 2 2002 The number of Reidemeister moves needed for unknotting. Zbl 0964.57005 Hass, Joel; Lagarias, Jeffrey C. 32 2001 Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024 Daubechies, Ingrid; Lagarias, Jeffrey C. 30 2001 Universal spectra and Tijdeman’s conjecture on factorization of cyclic groups. Zbl 0988.47006 Lagarias, Jeffrey C.; Szabó, Sándor 17 2001 Cutting sequences for geodesic flow on the modular surface and continued fractions. Zbl 1040.37008 Grabiner, David J.; Lagarias, Jeffrey C. 9 2001 On the robustness of single-loop sigma-delta modulation. Zbl 1018.94520 Güntürk, C. Sinan; Lagarias, Jeffrey C.; Vaishampayan, Vinay A. 7 2001 On the normality of arithmetical constants. Zbl 1015.11036 Lagarias, Jeffrey C. 3 2001 Mathematical quasicrystals and the problem of diffraction. Zbl 1161.52312 Lagarias, Jeffrey C. 68 2000 Orthonormal bases of exponentials for the \(n\)-cube. Zbl 0978.42007 Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang 52 2000 Orthogonality criteria for compactly supported refinable functions and refinable function vectors. Zbl 0952.42017 Lagarias, Jeffrey C.; Wang, Yang 9 2000 The lap-counting and zeta functions of the tent map. Zbl 1003.37024 Flatto, Leopold; Lagarias, Jeffrey C. 3 2000 Well-spaced labelings of points in rectangular grids. Zbl 0974.90022 Lagarias, Jeffrey C. 3 2000 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079 Bombieri, Enrico; Lagarias, Jeffrey C. 65 1999 The computational complexity of knot and link problems. Zbl 1065.68667 Hass, Joel; Lagarias, Jeffrey C.; Pippenger, Nicholas 60 1999 Geometric models for quasicrystals. I. Delone sets of finite type. Zbl 0924.68190 Lagarias, J. C. 50 1999 Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory. Zbl 1007.11066 Lagarias, Jeffrey C.; Wang, Yang 11 1999 Geometric models for quasicrystals. II. Local rules under isometries. Zbl 0930.51019 Lagarias, J. C. 9 1999 On a positivity property of the Riemann \(\xi\)-function. Zbl 0928.11035 Lagarias, Jeffrey 7 1999 Number theory zeta functions and dynamical zeta functions. Zbl 0945.11018 Lagarias, Jeffrey C. 6 1999 Beurling generalized integers with the Delone property. Zbl 0927.11047 Lagarias, Jeffrey C. 2 1999 Convergence properties of the Nelder–Mead simplex method in low dimensions. Zbl 1005.90056 Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.; Wright, Paul E. 348 1998 ...and 110 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,361 Authors 65 Lagarias, Jeffrey C. 24 Shparlinski, Igor E. 23 Jørgensen, Palle E. T. 22 Wang, Yang 21 Akiyama, Shigeki 21 Strungaru, Nicolae 21 Thuswaldner, Jörg Maximilian 20 Lau, Kasing 19 Lenz, Daniel H. 18 Protasov, Vladimir Yu. 16 Guglielmi, Nicola 16 Klein, Christian 15 Berthé, Valérie 15 Dubickas, Artūras 15 Ngai, Sze-Man 15 Tsuchiya, Akiyoshi 14 Dutkay, Dorin Ervin 14 He, Xinggang 14 Lai, Chun-Kit 13 Kolountzakis, Mihail N. 13 Kozyakin, Viktor Sergeevich 13 Lev, Nir 13 Liu, Jingcheng 13 Mazhouda, Kamel 13 Murty, Maruti Ram 13 Omar, Sami 12 Gabardo, Jean-Pierre 12 Yang, Shouzhi 12 Ye, Yinyu 11 Rémila, Eric 11 Suzuki, Masatoshi 10 Baake, Michael 10 Ben Slimane, Mourad 10 Kari, Jarkko 10 Kisielewicz, Andrzej Piotr 10 Loridant, Benoit 10 Morris, Ian D. 10 Odžak, Almasa 10 Pak, Igor 10 Verger-Gaugry, Jean-Louis 10 Zong, Chuanming 9 Charina, Maria 9 Cojocaru, Alina Carmen 9 Dai, Xinrong 9 Dai, Xiongping 9 Jia, Rong-Qing 9 Lee, Jeong-Yup 9 Moree, Pieter 9 Pedersen, Steen 9 Rao, Hui 9 Richard, Christoph 9 Smajlović, Lejla 9 Vallejo, Ernesto 9 Zhou, Dingxuan 9 Zhou, Xinlong 8 An, Lixiang 8 Averkov, Gennadiy 8 Burton, Benjamin A. 8 Dulio, Paolo 8 Gun, Sanoli 8 Kontorovich, Alex V. 8 Łaba, Izabella 8 Li, Jianlin 8 Liu, Chuntai 8 Luo, Jun Jason 8 Monteiro, Renato D. C. 8 Murty, Vijaya Kumar 8 Nill, Benjamin 8 Schnorr, Claus Peter 8 Sun, Qiyu 8 Tao, Terence 8 Thorner, Jesse 8 Tsuchiya, Takashi 8 Zaman, Asif 7 Allaart, Pieter C. 7 Bailey, David Harold 7 Berenhaut, Kenneth S. 7 Berg, Lothar 7 Blondel, Vincent D. 7 Chevallier, Nicolas 7 Coffey, Mark William 7 Conti, Costanza 7 Coons, Michael 7 Deng, Qirong 7 Dubuc, Serge 7 Ferrera, Juan 7 Gomez Gil, Javier 7 Julien, Antoine 7 Jungers, Raphaël M. 7 Martini, Horst 7 Molteni, Giuseppe 7 Morawiec, Janusz 7 Propp, James Gary 7 San Antolín, Angel 7 Shih, Mau-Hsiang 7 Solomyak, Boris 7 Steiner, Wolfgang 7 Swanepoel, Konrad J. 7 Walton, James J. 7 Xiao, Mingqing ...and 4,261 more Authors all top 5 Cited in 594 Serials 123 Journal of Number Theory 88 Linear Algebra and its Applications 81 Theoretical Computer Science 78 Mathematics of Computation 60 Discrete & Computational Geometry 58 Journal of Mathematical Analysis and Applications 58 Transactions of the American Mathematical Society 53 Mathematical Programming. 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Commentarii Mathematici 8 Mathematics and Computers in Simulation 8 Systems & Control Letters 8 Operations Research Letters 8 Combinatorica 8 Computers & Operations Research 8 Forum Mathematicum 8 The Journal of Geometric Analysis 8 Advances in Computational Mathematics 8 Mathematical Problems in Engineering 8 Abstract and Applied Analysis 8 Research in the Mathematical Sciences 7 Bulletin of the Australian Mathematical Society 7 Journal of Mathematical Biology 7 Canadian Mathematical Bulletin 7 Duke Mathematical Journal 7 Journal of Differential Equations ...and 494 more Serials all top 5 Cited in 63 Fields 1,141 Number theory (11-XX) 487 Convex and discrete geometry (52-XX) 422 Computer science (68-XX) 372 Dynamical systems and ergodic theory (37-XX) 359 Harmonic analysis on Euclidean spaces (42-XX) 331 Operations research, mathematical programming (90-XX) 310 Numerical analysis (65-XX) 306 Combinatorics (05-XX) 270 Measure and integration (28-XX) 162 Information and communication theory, circuits (94-XX) 158 Linear and multilinear algebra; matrix theory (15-XX) 117 Probability theory and stochastic processes (60-XX) 107 Group theory and generalizations (20-XX) 103 Algebraic geometry (14-XX) 101 Statistics (62-XX) 97 Real functions (26-XX) 95 Functional analysis (46-XX) 91 Manifolds and cell complexes (57-XX) 86 Systems theory; control (93-XX) 77 Biology and other natural sciences (92-XX) 75 Operator theory (47-XX) 70 Approximations and expansions (41-XX) 69 Partial differential equations (35-XX) 65 Difference and functional equations (39-XX) 50 Ordinary differential equations (34-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Statistical mechanics, structure of matter (82-XX) 46 Functions of a complex variable (30-XX) 44 Geometry (51-XX) 43 Abstract harmonic analysis (43-XX) 42 Quantum theory (81-XX) 36 Field theory and polynomials (12-XX) 36 Special functions (33-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 35 Mechanics of deformable solids (74-XX) 31 Mathematical logic and foundations (03-XX) 28 Commutative algebra (13-XX) 28 General topology (54-XX) 27 Topological groups, Lie groups (22-XX) 24 Differential geometry (53-XX) 22 Sequences, series, summability (40-XX) 21 Fluid mechanics (76-XX) 19 General and overarching topics; collections (00-XX) 15 History and biography (01-XX) 14 Optics, electromagnetic theory (78-XX) 11 Integral transforms, operational calculus (44-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Integral equations (45-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Mechanics of particles and systems (70-XX) 8 Algebraic topology (55-XX) 8 Relativity and gravitational theory (83-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Geophysics (86-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 \(K\)-theory (19-XX) 4 Mathematics education (97-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 3 Potential theory (31-XX) 2 General algebraic systems (08-XX) 2 Associative rings and algebras (16-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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