Edit Profile (opens in new tab) Lagarias, Jeffrey C. Compute Distance To: Compute Author ID: lagarias.jeffrey-c Published as: Lagarias, Jeffrey C.; Lagarias, J. C.; Lagarias, Jeffrey; Lagarias, J. Homepage: http://www.math.lsa.umich.edu/~lagarias/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef Documents Indexed: 227 Publications since 1977 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 3 Reviews Co-Authors: 118 Co-Authors with 163 Joint Publications 3,927 Co-Co-Authors all top 5 Co-Authors 62 single-authored 16 Odlyzko, Andrew M. 13 Wang, Yang 7 Håstad, Johan Torkel 6 Fishburn, Peter Clingerman 6 Flatto, Leopold 6 Rains, Eric M. 6 Reeds, James A. 5 Abram, William C. 5 Daubechies, Ingrid Chantal 5 Mallows, Colin Lingwood 5 Wilks, Allan R. 5 Yan, Catherine Huafei 4 Graham, Ronald Lewis 4 Hass, Joel 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 Richman, David Harry 3 Shearer, James B. 3 Shor, Peter Williston 3 Soundararajan, Kannan 2 Bell, Jason P. 2 Boppana, Ravi B. 2 Cohn, Harvey 2 Helfrich, Bettina 2 Just, Bettina 2 Kontorovich, Alex V. 2 Maddock, Zachary 2 Mehta, Harsh 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 O. 2 Shepp, Lawrence Alan 2 Sloane, Neil James Alexander 2 Spencer, Joel H. 2 Stolarsky, Kenneth B. 2 Vanderbei, Robert Joseph 2 Wright, Margaret H. 2 Wright, Paul E. 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 Du, Lara 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 Garfunkel, Solomon A. 1 Gehrlein, William V. 1 Geoghegan, Ross 1 Gopinath, B. 1 Gowers, Tim 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 Kim, Jeong Han 1 Knuth, Donald Ervin 1 Kolountzakis, Mihail N. 1 Krasikov, Ilia 1 Kusner, Rob 1 Kusner, Wöden 1 Leighton, Tom 1 Lenstra, Hendrik W. jun. 1 Lovász, László 1 Luo, Yusheng ...and 34 more Co-Authors all top 5 Serials 13 Discrete & Computational Geometry 11 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 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 SIAM Journal on Discrete Mathematics 3 Forum Mathematicum 3 Bulletin of the American Mathematical Society. New Series 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 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 Advances in Applied Mathematics 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 Notices of the American Mathematical Society 2 The Ramanujan Journal 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 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Canadian Mathematical Bulletin 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 130 Number theory (11-XX) 40 Convex and discrete geometry (52-XX) 37 Dynamical systems and ergodic theory (37-XX) 26 Computer science (68-XX) 21 Combinatorics (05-XX) 18 Information and communication theory, circuits (94-XX) 16 Operations research, mathematical programming (90-XX) 13 Measure and integration (28-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Real functions (26-XX) 11 Probability theory and stochastic processes (60-XX) 11 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Group theory and generalizations (20-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Ordinary differential equations (34-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Geometry (51-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 2 Mathematical logic and foundations (03-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 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 200 Publications have been cited 3,610 times in 2,648 Documents Cited by ▼ Year ▼ Convergence properties of the Nelder–Mead simplex method in low dimensions. Zbl 1005.90056Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.; Wright, Paul E. 281 1998 Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals. Zbl 0788.42013Daubechies, Ingrid; Lagarias, Jeffrey C. 160 1992 Sets of matrices all infinite products of which converge. Zbl 0746.15015Daubechies, Ingrid; Lagarias, Jeffrey C. 137 1992 Two-scale difference equations. I: Existence and global regularity of solutions. Zbl 0763.42018Daubechies, Ingrid; Lagarias, Jeffrey C. 120 1991 Self-affine tiles in \(\mathbb{R}^n\). Zbl 0893.52013Lagarias, Jeffrey C.; Wang, Yang 117 1996 Effective versions of the Chebotarev density theorem. Zbl 0362.12011Lagarias, J. C.; Odlyzko, A. M. 103 1977 The \(3x+1\) problem and its generalizations. Zbl 0566.10007Lagarias, Jeffrey C. 99 1985 Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings. Zbl 0893.52015Lagarias, Jeffrey C.; Wang, Yang 83 1997 The finiteness conjecture for the generalized spectral radius of a set of matrices. Zbl 0818.15007Lagarias, Jeffrey C.; Wang, Yang 77 1995 Integral self-affine tiles in \(\mathbb{R}^n\). I: Standard and nonstandard digit sets. Zbl 0893.52014Lagarias, Jeffrey C.; Wang, Yang 74 1996 Tiling the line with translates of one tile. Zbl 0847.05037Lagarias, Jeffrey C.; Wang, Yang 70 1996 The nonlinear geometry of linear programming. I: Affine and projective scaling trajectories. Zbl 0671.90045Bayer, D. A.; Lagarias, J. C. 69 1989 Bounds for lattice polytopes containing a fixed number of interior points in a sublattice. Zbl 0752.52010Lagarias, Jeffrey C.; Ziegler, Günter M. 66 1991 Repetitive Delone sets and quasicrystals. Zbl 1062.52021Lagarias, Jeffrey C.; Pleasants, Peter A. B. 62 2003 Euler’s constant: Euler’s work and modern developments. Zbl 1282.11002Lagarias, Jeffrey C. 59 2013 A bound for the least prime ideal in the Chebotarev density theorem. Zbl 0401.12014Lagarias, J. C.; Montgomery, H. L.; Odlyzko, A. M. 57 1979 Tiling with polyominoes and combinatorial group theory. Zbl 0741.05019Conway, J. H.; Lagarias, J. C. 57 1990 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079Bombieri, Enrico; Lagarias, Jeffrey C. 54 1999 Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Zbl 0723.11029Lagarias, J. C.; Lenstra, H. W. jun.; Schnorr, C. P. 53 1990 The computational complexity of simultaneous diophantine approximation problems. Zbl 0563.10025Lagarias, J. C. 53 1985 The nonlinear geometry of linear programming. II: Legendre transform coordinates and central trajectories. Zbl 0671.90046Bayer, D. A.; Lagarias, J. C. 50 1989 Mathematical quasicrystals and the problem of diffraction. Zbl 1161.52312Lagarias, Jeffrey C. 48 2000 Solving low-density subset sum problems. Zbl 0632.94007Lagarias, J. C.; Odlyzko, A. M. 48 1985 The computational complexity of knot and link problems. Zbl 1065.68667Hass, Joel; Lagarias, Jeffrey C.; Pippenger, Nicholas 47 1999 Orthonormal bases of exponentials for the \(n\)-cube. Zbl 0978.42007Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang 44 2000 Spectral sets and factorizations of finite abelian groups. Zbl 0898.47002Lagarias, Jeffrey C.; Wang, Yang 43 1997 Apollonian circle packings: Number theory. Zbl 1026.11058Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 43 2003 Geometric models for quasicrystals. I. Delone sets of finite type. Zbl 0924.68190Lagarias, J. C. 40 1999 Meyer’s concept of quasicrystal and quasiregular sets. Zbl 0858.52010Lagarias, J. C. 39 1996 Keller’s cube-tiling conjecture is false in high dimensions. Zbl 0759.52013Lagarias, Jeffrey C.; Shor, Peter W. 38 1992 Haar type orthonormal wavelet bases in \(R^2\). Zbl 0908.42022Lagarias, Jeffrey C.; Wang, Yang 31 1995 Sets uniquely determined by projections on axes. II: Discrete case. Zbl 0752.44002Fishburn, P. C.; Lagarias, J. C.; Reeds, J. A.; Shepp, L. A. 31 1991 Structure of tilings of the line by a function. Zbl 0854.58016Kolountzakis, Mihail N.; Lagarias, Jeffrey C. 28 1996 Geodesic multidimensional continued fractions. Zbl 0813.11040Lagarias, J. C. 27 1994 Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory. Zbl 0886.11062Lagarias, Jeffrey C.; Wang, Yang 27 1996 The Takagi function and its properties. Zbl 1275.26011Lagarias, Jeffrey C. 26 2012 Apollonian circle packings: Geometry and group theory. I: The Apollonian group. Zbl 1085.52010Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 26 2005 The ultimate challenge. The \(3x+1\) problem. Zbl 1253.11003 25 2010 The number of Reidemeister moves needed for unknotting. Zbl 0964.57005Hass, Joel; Lagarias, Jeffrey C. 24 2001 Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024Daubechies, Ingrid; Lagarias, Jeffrey C. 24 2001 Polynomial time algorithms for finding integer relations among real numbers. Zbl 0692.10033Håstad, Johan; Just, B.; Lagarias, J. C.; Schnorr, C. P. 23 1989 Beyond the Descartes circle theorem. Zbl 1027.51022Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R. 22 2002 On the thermodynamic formalism for multifractal functions. Zbl 0843.58091Daubechies, Ingrid; Lagarias, Jeffrey C. 22 1994 I.I. Dikin’s convergence result for the affine-scaling algorithm. Zbl 0727.90050Vanderbei, R. J.; Lagarias, J. C. 21 1990 The quality of the diophantine approximations found by the Jacobi–Perron algorithm and related algorithms. Zbl 0790.11059Lagarias, J. C. 21 1993 Reconstructing truncated integer variables satisfying linear congruences. Zbl 0654.10006Frieze, Alan M.; Håstad, Johan; Kannan, Ravi; Lagarias, Jeffrey C.; Shamir, Adi 21 1988 Best simultaneous Diophantine approximations. I: Growth rates of best approximation denominators. Zbl 0495.10021Lagarias, J. C. 21 1982 Substitution Delone sets. Zbl 1037.52017Lagarias, Jeffrey C.; Wang, Yang 20 2003 Li coefficients for automorphic \(L\)-functions. Zbl 1216.11078Lagarias, Jeffrey 19 2007 Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations. Zbl 0497.10025Lagarias, J. C. 19 1982 The zeta function of the beta transformation. Zbl 0843.58106Flatto, Leopold; Lagarias, Jeffrey C.; Poonen, Bjorn 18 1994 On the computational complexity of determining the solvability or unsolvability of the equation \(X^2-DY^2=-1\). Zbl 0446.10014Lagarias, J. C. 18 1980 An elementary problem equivalent to the Riemann hypothesis. Zbl 1098.11005Lagarias, Jeffrey C. 18 2002 Pseudorandom number generators in cryptography and number theory. Zbl 0747.94011Lagarias, J. C. 18 1990 Worst-case complexity bounds for algorithms in the theory of integral quadratic forms. Zbl 0473.68030Lagarias, J. C. 18 1980 On the range of fractional parts \(\{\xi(p/q)^ n\}\). Zbl 0821.11038Flatto, Leopold; Lagarias, Jeffrey C.; Pollington, Andrew D. 17 1995 Apollonian circle packings: Geometry and group theory. III: Higher dimensions. Zbl 1085.52012Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 17 2006 Computing \(\pi(x)\): the Meissel-Lehmer method. Zbl 0564.10006Lagarias, J. C.; Miller, V. S.; Odlyzko, A. M. 16 1985 The set of primes dividing the Lucas numbers has density 2/3. Zbl 0569.10003Lagarias, J. C. 16 1985 The nonlinear geometry of linear programming. III: Projective Legendre transform coordinates and Hilbert geometry. Zbl 0699.90070Lagarias, J. C. 15 1990 Computing \(\pi(x)\): an analytic method. Zbl 0622.10027Lagarias, J. C.; Odlyzko, A. M. 15 1987 Karmarkar’s linear programming algorithm and Newton’s method. Zbl 0736.90053Bayer, D. A.; Lagarias, J. C. 15 1991 Number theory and dynamical systems. Zbl 0773.11051Lagarias, J. C. 15 1992 Apollonian circle packings: Geometry and group theory. II: Super-Apollonian group and integral packings. Zbl 1085.52011Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 15 2006 Multiregular point systems. Zbl 0915.51017Dolbilin, N. P.; Lagarias, J. C.; Senechal, M. 14 1998 Cube-tilings of \(\mathbb{R}^ n\) and nonlinear codes. Zbl 0804.52013Lagarias, J. C.; Shor, P. W. 12 1994 Self-packing of centrally symmetric convex bodies in \(\mathbb{R}{}^ 2\). Zbl 0756.52016Doyle, P. G.; Lagarias, J. C.; Randall, D. 12 1992 Local complexity of Delone sets and crystallinity. Zbl 1016.52013Lagarias, Jeffrey C.; Pleasants, Peter A. B. 11 2002 On computing Artin L-functions in the critical strip. Zbl 0409.12017Lagarias, J. C.; Odlyzko, A. M. 11 1979 Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory. Zbl 1007.11066Lagarias, Jeffrey C.; Wang, Yang 11 1999 The \(3x +1\) problem: Two stochastic models. Zbl 0742.60027Lagarias, J. C.; Weiss, A. 11 1992 Ternary expansions of powers of 2. Zbl 1193.11008Lagarias, Jeffrey C. 10 2009 Universal spectra and Tijdeman’s conjecture on factorization of cyclic groups. Zbl 0988.47006Lagarias, Jeffrey C.; Szabó, Sándor 10 2001 The Lerch zeta function. II: Analytic continuation. Zbl 1253.11086Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 10 2012 Hilbert spaces of entire functions and Dirichlet \(L\)-functions. 2nd printing. Zbl 1121.11057Lagarias, Jeffrey C. 10 2006 Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044Lagarias, Jeffrey C.; Rains, Eric 10 2005 Power series variants of Karmarkar-type algorithms. Zbl 0682.90060Karmarkar, Narendra K.; Lagarias, Jeffrey C.; Slutsman, Lev; Wang, Pyng 10 1989 On the existence of fields governing the 2-invariants of the classgroup of \(Q(\sqrt{dp})\) as p varies. Zbl 0523.12002Cohn, Harvey; Lagarias, J. C. 10 1983 The set of rational cycles for the \(3x+1\) problem. Zbl 0773.11017Lagarias, Jeffrey C. 10 1990 Orthogonality criteria for compactly supported refinable functions and refinable function vectors. Zbl 0952.42017Lagarias, Jeffrey C.; Wang, Yang 9 2000 The Lerch zeta function. I: Zeta integrals. Zbl 1253.11085Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 9 2012 The Riemann hypothesis for certain integrals of Eisenstein series. Zbl 1208.11106Lagarias, Jeffrey C.; Suzuki, Masatoshi 9 2006 Benford’s law for the \(3x+1\) function. Zbl 1117.11018Lagarias, Jeffrey C.; Soundararajan, K. 9 2006 Sets uniquely determined by projections on axes. I: Continuous case. Zbl 0695.44003Fishburn, P. C.; Lagarias, J. C.; Reeds, J. A.; Shepp, L. A. 8 1990 Level sets of the Takagi function: generic level sets. Zbl 1263.26020Lagarias, Jeffrey C.; Maddock, Zachary 8 2011 Geometric models for quasicrystals. II. Local rules under isometries. Zbl 0930.51019Lagarias, J. C. 8 1999 Approximation algorithms for maximizing the number of squares packed into a rectangle. Zbl 0558.05002Baker, B. S.; Calderbank, A. R.; Coffman, E. G. jun.; Lagarias, J. C. 8 1983 Zero spacing distributions for differenced \(L\)-functions. Zbl 1120.11037Lagarias, Jeffrey C. 8 2005 Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045Lagarias, Jeffrey C.; Rains, Eric 8 2005 Mysteries in packing regular tetrahedra. Zbl 1284.52018Lagarias, Jeffrey C.; Zong, Chuanming 7 2012 The lap-counting function for linear mod one transformations. I: Explicit formulas and renormalizability. Zbl 0865.58016Flatto, Leopold; Lagarias, Jeffrey C. 7 1996 Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031Lagarias, J. C.; Soundararajan, K. 7 2012 On the robustness of single-loop sigma-delta modulation. Zbl 1018.94520Güntürk, C. Sinan; Lagarias, Jeffrey C.; Vaishampayan, Vinay A. 7 2001 Asymmetric tent map expansions. I: Eventually periodic points. Zbl 0809.11041Lagarias, J. C.; Porta, H. A.; Stolarsky, K. B. 7 1993 Probabilities for intersecting systems and random subsets of finite sets. Zbl 0582.60014Fishburn, P. C.; Frankl, P.; Freed, D.; Lagarias, J. C.; Odlyzko, A. M. 7 1986 On the distribution in short intervals of integers having no large prime factor. Zbl 0606.10033Friedlander, J. B.; Lagarias, J. C. 7 1987 Algorithms for packing squares: A probabilistic analysis. Zbl 0671.68014Coffman, E. G. jun.; Lagarias, J. C. 7 1989 Cutting sequences for geodesic flow on the modular surface and continued fractions. Zbl 1040.37008Grabiner, David J.; Lagarias, Jeffrey C. 6 2001 Level sets of the Takagi function: local level sets. Zbl 1248.26008Lagarias, Jeffrey C.; Maddock, Zachary 6 2012 Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H. 6 2012 Higher correlations and the alternative hypothesis. Zbl 1439.11216Lagarias, Jeffrey C.; Rodgers, Brad 1 2020 Dilated floor functions having nonnegative commutator. I: Positive and mixed sign dilations. Zbl 1454.11012Lagarias, Jeffrey C.; Richman, David Harry 2 2019 Configuration spaces of equal spheres touching a given sphere: the twelve spheres problem. Zbl 1442.52015Kusner, Rob; Kusner, Wöden; Lagarias, Jeffrey C.; Shlosman, Senya 6 2018 Shifted polyharmonic Maass forms for \(\text{PSL} (2,{\mathbb Z})\). Zbl 1440.11078Andersen, Nickolas; Lagarias, Jeffrey C.; Rhoades, Robert C. 4 2018 Polynomial splitting measures and cohomology of the pure braid group. Zbl 1469.11416Hyde, Trevor; Lagarias, Jeffrey C. 4 2017 Intersections of multiplicative translates of 3-adic Cantor sets. II: Two infinite families. Zbl 1422.11163Abram, William C.; Bolshakov, Artem; Lagarias, Jeffrey C. 2 2017 Products of Farey fractions. Zbl 1422.11167Lagarias, Jeffrey C.; Mehta, Harsh 1 2017 Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\). Zbl 1418.11077Lagarias, Jeffrey C.; Rhoades, Robert C. 6 2016 The Lerch zeta function. III: Polylogarithms and special values. Zbl 1412.11110Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 5 2016 A family of measures on symmetric groups and the field with one element. Zbl 1337.11074Lagarias, Jeffrey C. 2 2016 Dilated floor functions that commute. Zbl 1391.11008Lagarias, Jeffrey C.; Murayama, Takumi; Richman, D. Harry 2 2016 The Lerch zeta function. IV: Hecke operators. Zbl 1411.11081Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 2 2016 Products of binomial coefficients and unreduced Farey fractions. Zbl 1360.11037Lagarias, Jeffrey C.; Mehta, Harsh 1 2016 Erdős, Klarner, and the \(3x+1\) problem. Zbl 1391.11020Lagarias, Jeffrey C. 1 2016 A Skolem-Mahler-Lech theorem for iterated automorphisms of \(K\)-algebras. Zbl 1370.11048Bell, Jason P.; Lagarias, Jeffrey C. 2 2015 Splitting behavior of \(S_n\)-polynomials. Zbl 1378.11092Lagarias, Jeffrey C.; Weiss, Benjamin L. 2 2015 Path sets in one-sided symbolic dynamics. Zbl 1347.37027Abram, William C.; Lagarias, Jeffrey C. 4 2014 \(p\)-adic path set fractals and arithmetic. Zbl 1291.11107Abram, William C.; Lagarias, Jeffrey C. 4 2014 Intersections of multiplicative translates of 3-adic Cantor sets. Zbl 1332.11074Abram, William C.; Lagarias, Jeffrey C. 3 2014 Euler’s constant: Euler’s work and modern developments. Zbl 1282.11002Lagarias, Jeffrey C. 59 2013 The Takagi function and its properties. Zbl 1275.26011Lagarias, Jeffrey C. 26 2012 The Lerch zeta function. II: Analytic continuation. Zbl 1253.11086Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 10 2012 The Lerch zeta function. I: Zeta integrals. Zbl 1253.11085Lagarias, Jeffrey C.; Li, Wen-Ching Winnie 9 2012 Mysteries in packing regular tetrahedra. Zbl 1284.52018Lagarias, Jeffrey C.; Zong, Chuanming 7 2012 Counting smooth solutions to the equation \(A+B=C\). Zbl 1270.11031Lagarias, J. C.; Soundararajan, K. 7 2012 Level sets of the Takagi function: local level sets. Zbl 1248.26008Lagarias, Jeffrey C.; Maddock, Zachary 6 2012 Convergence of the restricted Nelder-Mead algorithm in two dimensions. Zbl 1246.49029Lagarias, Jeffrey C.; Poonen, Bjorn; Wright, Margaret H. 6 2012 Product-free sets with high density. Zbl 1357.11028Kurlberg, Pär; Lagarias, Jeffrey C.; Pomerance, Carl 1 2012 Level sets of the Takagi function: generic level sets. Zbl 1263.26020Lagarias, Jeffrey C.; Maddock, Zachary 8 2011 The Kepler conjecture. The Hales-Ferguson proof. Including a special issue of Discrete & Computational Geometry. Zbl 1234.52002 5 2011 Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture. Zbl 1270.11032Lagarias, Jeffrey C.; Soundararajan, Kannan 3 2011 The integral of the Riemann \(\xi\)-function. Zbl 1270.11085Lagarias, Jeffrey C.; Montague, David 1 2011 The ultimate challenge. The \(3x+1\) problem. Zbl 1253.11003 25 2010 Stochastic models for the \(3x+1\) and \(5x+1\) problems and related problems. Zbl 1253.11035Kontorovich, Alex V.; Lagarias, Jeffrey C. 3 2010 The \(3x+1\) problem: an overview. Zbl 1253.11036Lagarias, Jeffrey C. 2 2010 Cyclic systems of simultaneous congruences. Zbl 1243.11050Lagarias, Jeffrey C. 2 2010 The \(3x+1\) problem and its generalizations. Zbl 1253.11037Lagarias, Jeffrey C. 1 2010 Ternary expansions of powers of 2. Zbl 1193.11008Lagarias, Jeffrey C. 10 2009 The Schrödinger operator with Morse potential on the right half-line. Zbl 1202.34149Lagarias, Jeffrey C. 5 2009 Li coefficients for automorphic \(L\)-functions. Zbl 1216.11078Lagarias, Jeffrey 19 2007 Apollonian circle packings: number theory. II: Spherical and hyperbolic packings. Zbl 1165.11057Eriksson, Nicholas; Lagarias, Jeffrey C. 4 2007 Apollonian circle packings: Geometry and group theory. III: Higher dimensions. Zbl 1085.52012Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 17 2006 Apollonian circle packings: Geometry and group theory. II: Super-Apollonian group and integral packings. Zbl 1085.52011Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 15 2006 Hilbert spaces of entire functions and Dirichlet \(L\)-functions. 2nd printing. Zbl 1121.11057Lagarias, Jeffrey C. 10 2006 The Riemann hypothesis for certain integrals of Eisenstein series. Zbl 1208.11106Lagarias, Jeffrey C.; Suzuki, Masatoshi 9 2006 Benford’s law for the \(3x+1\) function. Zbl 1117.11018Lagarias, Jeffrey C.; Soundararajan, K. 9 2006 The \(3x+1\) semigroup. Zbl 1163.11314Applegate, David; Lagarias, Jeffrey C. 2 2006 Wild and Wooley numbers. Zbl 1232.11041Lagarias, Jeffrey C. 1 2006 The Riemann hypothesis: arithmetic and geometry. Zbl 1119.11051Lagarias, Jeffrey C. 1 2006 Apollonian circle packings: Geometry and group theory. I: The Apollonian group. Zbl 1085.52010Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 26 2005 Dynamics of a family of piecewise-linear area-preserving plane maps. I. Rational rotation numbers. Zbl 1082.37044Lagarias, Jeffrey C.; Rains, Eric 10 2005 Zero spacing distributions for differenced \(L\)-functions. Zbl 1120.11037Lagarias, Jeffrey C. 8 2005 Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles. Zbl 1082.37045Lagarias, Jeffrey C.; Rains, Eric 8 2005 Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra. Zbl 1082.37046Lagarias, Jeffrey C.; Rains, Eric 5 2005 Area inequalities for embedded disks spanning unknotted curves. Zbl 1104.53006Hass, Joel; Lagarias, Jeffrey C.; Thurston, William P. 5 2004 Approximate squaring. Zbl 1115.11045Lagarias, J. C.; Sloane, N. J. A. 1 2004 Repetitive Delone sets and quasicrystals. Zbl 1062.52021Lagarias, Jeffrey C.; Pleasants, Peter A. B. 62 2003 Apollonian circle packings: Number theory. Zbl 1026.11058Graham, Ronald L.; Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R.; Yan, Catherine H. 43 2003 Substitution Delone sets. Zbl 1037.52017Lagarias, Jeffrey C.; Wang, Yang 20 2003 On a two-variable zeta function for number fields. Zbl 1106.11036Lagarias, Jeffrey C.; Rains, Eric 5 2003 Bounds for the \(3x+1\) problem using difference inequalities. Zbl 1069.11011Krasikov, Ilia; Lagarias, Jeffrey C. 4 2003 Lower bounds for the total stopping time of \(3x + 1\) iterates. Zbl 1052.11017Applegate, David; Lagarias, Jeffrey C. 2 2003 Correction to: Linear fractional transformations of continued fractions with bounded partial quotients. Zbl 1071.11509Lagarias, Jeffrey C.; Shallit, Jeffrey O. 2 2003 The minimal number of triangles needed to span a polygon embedded in \(\mathbb R^d\). Zbl 1103.52013Hass, Joel; Lagarias, Jeffrey C. 2 2003 Beyond the Descartes circle theorem. Zbl 1027.51022Lagarias, Jeffrey C.; Mallows, Colin L.; Wilks, Allan R. 22 2002 An elementary problem equivalent to the Riemann hypothesis. Zbl 1098.11005Lagarias, Jeffrey C. 18 2002 Local complexity of Delone sets and crystallinity. Zbl 1016.52013Lagarias, Jeffrey C.; Pleasants, Peter A. B. 11 2002 Pinwheel scheduling: Achievable densities. Zbl 1016.68007Fishburn, P. C.; Lagarias, J. C. 4 2002 Counting dyadic equipartitions of the unit square. Zbl 1007.05013Lagarias, Jeffrey C.; Spencer, Joel H.; Vinson, Jade P. 3 2002 Bounds for local density of sphere packings and the Kepler conjecture. Zbl 1005.52011Lagarias, J. C. 2 2002 The number of Reidemeister moves needed for unknotting. Zbl 0964.57005Hass, Joel; Lagarias, Jeffrey C. 24 2001 Corrigendum/addendum to: Sets of matrices all infinite products of which converge. Zbl 0978.15024Daubechies, Ingrid; Lagarias, Jeffrey C. 24 2001 Universal spectra and Tijdeman’s conjecture on factorization of cyclic groups. Zbl 0988.47006Lagarias, Jeffrey C.; Szabó, Sándor 10 2001 On the robustness of single-loop sigma-delta modulation. Zbl 1018.94520Güntürk, C. Sinan; Lagarias, Jeffrey C.; Vaishampayan, Vinay A. 7 2001 Cutting sequences for geodesic flow on the modular surface and continued fractions. Zbl 1040.37008Grabiner, David J.; Lagarias, Jeffrey C. 6 2001 On the normality of arithmetical constants. Zbl 1015.11036Lagarias, Jeffrey C. 3 2001 Mathematical quasicrystals and the problem of diffraction. Zbl 1161.52312Lagarias, Jeffrey C. 48 2000 Orthonormal bases of exponentials for the \(n\)-cube. Zbl 0978.42007Lagarias, Jeffrey C.; Reeds, James A.; Wang, Yang 44 2000 Orthogonality criteria for compactly supported refinable functions and refinable function vectors. Zbl 0952.42017Lagarias, Jeffrey C.; Wang, Yang 9 2000 Well-spaced labelings of points in rectangular grids. Zbl 0974.90022Lagarias, Jeffrey C. 3 2000 The lap-counting and zeta functions of the tent map. Zbl 1003.37024Flatto, Leopold; Lagarias, Jeffrey C. 2 2000 Complements to Li’s criterion for the Riemann Hypothesis. Zbl 0972.11079Bombieri, Enrico; Lagarias, Jeffrey C. 54 1999 The computational complexity of knot and link problems. Zbl 1065.68667Hass, Joel; Lagarias, Jeffrey C.; Pippenger, Nicholas 47 1999 Geometric models for quasicrystals. I. Delone sets of finite type. Zbl 0924.68190Lagarias, J. C. 40 1999 Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory. Zbl 1007.11066Lagarias, Jeffrey C.; Wang, Yang 11 1999 Geometric models for quasicrystals. II. Local rules under isometries. Zbl 0930.51019Lagarias, J. C. 8 1999 Number theory zeta functions and dynamical zeta functions. Zbl 0945.11018Lagarias, Jeffrey C. 4 1999 On a positivity property of the Riemann \(\xi\)-function. Zbl 0928.11035Lagarias, Jeffrey 4 1999 Beurling generalized integers with the Delone property. Zbl 0927.11047Lagarias, Jeffrey C. 2 1999 Convergence properties of the Nelder–Mead simplex method in low dimensions. Zbl 1005.90056Lagarias, Jeffrey C.; Reeds, James A.; Wright, Margaret H.; Wright, Paul E. 281 1998 Multiregular point systems. Zbl 0915.51017Dolbilin, N. P.; Lagarias, J. C.; Senechal, M. 14 1998 Threading homotopies and dc operating points of nonlinear circuits. Zbl 0994.65058Geoghegan, Ross; Lagarias, Jeffrey C.; Melville, Robert C. 4 1998 Counting \(d\)-step paths in extremal Dantzig figures. Zbl 0899.52008Lagarias, J. C.; Prabhu, N. 1 1998 Interference-minimizing colorings of regular graphs. Zbl 0912.05036Fishburn, P. C.; Kim, J. H.; Lagarias, J. C.; Wright, P. E. 1 1998 Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings. Zbl 0893.52015Lagarias, Jeffrey C.; Wang, Yang 83 1997 Spectral sets and factorizations of finite abelian groups. Zbl 0898.47002Lagarias, Jeffrey C.; Wang, Yang 43 1997 Linear fractional transformations of continued fractions with bounded partial quotients. Zbl 0901.11024Lagarias, J. C.; Shallit, J. O. 5 1997 The lap-counting function for linear mod one transformations. III: The period of a Markov chain. Zbl 0979.37018Flatto, Leopold; Lagarias, Jeffrey C. 4 1997 Convexity and the average curvature of plane curves. Zbl 0887.53002Lagarias, Jeffrey C.; Richardson, Thomas J. 4 1997 The lap-counting function for linear mod one transformations. II: The Markov chain for generalized lap numbers. Zbl 0979.37017Flatto, Leopold; Lagarias, Jeffrey C. 3 1997 ...and 100 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,476 Authors 56 Lagarias, Jeffrey C. 22 Jørgensen, Palle E. T. 22 Shparlinski, Igor E. 21 Akiyama, Shigeki 20 Lau, Kasing 19 Protasov, Vladimir Yu. 19 Wang, Yang 17 Lenz, Daniel H. 17 Thuswaldner, Jörg Maximilian 15 Dubickas, Artūras 14 Dutkay, Dorin Ervin 14 Guglielmi, Nicola 13 He, Xinggang 13 Klein, Christian 13 Lai, Chun-Kit 13 Tsuchiya, Akiyoshi 12 Kolountzakis, Mihail N. 12 Kozyakin, Viktor Sergeevich 12 Murty, Maruti Ram 12 Ngai, Sze-Man 12 Yang, Shouzhi 11 Gabardo, Jean-Pierre 11 Ye, Yinyu 10 Ben Slimane, Mourad 10 Berthé, Valérie 10 Loridant, Benoit 10 Omar, Sami 10 Rémila, Eric 9 Charina, Maria 9 Lee, Jeong-Yup 9 Mazhouda, Kamel 9 Morris, Ian D. 9 Odžak, Almasa 9 Pak, Igor 9 Pedersen, Steen 9 Strungaru, Nicolae 9 Vallejo, Ernesto 9 Verger-Gaugry, Jean-Louis 9 Zhou, Dingxuan 9 Zhou, Xinlong 8 Dai, Xinrong 8 Dai, Xiongping 8 Favorov, Sergeĭ Yur’evich 8 Kisielewicz, Andrzej Piotr 8 Lev, Nir 8 Li, Jianlin 8 Monteiro, Renato D. C. 8 Moree, Pieter 8 Nill, Benjamin 8 Rao, Hui 8 Schnorr, Claus Peter 8 Smajlović, Lejla 8 Sun, Qiyu 8 Suzuki, Masatoshi 7 Allaart, Pieter C. 7 Bailey, David Harold 7 Berenhaut, Kenneth S. 7 Berg, Lothar 7 Blondel, Vincent D. 7 Coffey, Mark William 7 Conti, Costanza 7 Dulio, Paolo 7 Julien, Antoine 7 Jungers, Raphaël M. 7 Luo, Jun Jason 7 Morawiec, Janusz 7 Murty, Vijaya Kumar 7 Richard, Christoph 7 Swanepoel, Konrad J. 7 Tsuchiya, Takashi 7 Xiao, Mingqing 7 Zaman, Asif 7 Zong, Chuanming 6 Alvarez-Vázquez, Lino Jose 6 An, Lixiang 6 Averkov, Gennadiy 6 Baake, Michael 6 Bach, Eric 6 Burton, Benjamin A. 6 Deng, Qirong 6 Dubuc, Serge 6 Feng, De-Jun 6 Fuchs, Elena D. 6 Jia, Rong-Qing 6 Kari, Jarkko 6 Łaba, Izabella 6 Liu, Jingcheng 6 Martinez, Aurea 6 Martini, Horst 6 Matei, Basarab 6 Odlyzko, Andrew M. 6 Ostafe, Alina 6 Pagani, Silvia M. C. 6 Solomyak, Boris 6 Steiner, Wolfgang 6 Tao, Terence 6 Vázquez-Méndez, Miguel Ernesto 6 Zaïmi, Toufik Mostepha 6 Zennaro, Marino 6 Zhuravlev, Vladimir Georgievich ...and 3,376 more Authors all top 5 Cited in 520 Serials 98 Journal of Number Theory 82 Linear Algebra and its Applications 79 Theoretical Computer Science 69 Mathematics of Computation 51 Discrete & Computational Geometry 50 Transactions of the American Mathematical Society 50 Mathematical Programming. Series A. 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GAFA 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Algebraic Combinatorics ...and 420 more Serials all top 5 Cited in 63 Fields 859 Number theory (11-XX) 378 Convex and discrete geometry (52-XX) 314 Computer science (68-XX) 302 Harmonic analysis on Euclidean spaces (42-XX) 301 Dynamical systems and ergodic theory (37-XX) 288 Operations research, mathematical programming (90-XX) 270 Numerical analysis (65-XX) 240 Combinatorics (05-XX) 213 Measure and integration (28-XX) 130 Linear and multilinear algebra; matrix theory (15-XX) 120 Information and communication theory, circuits (94-XX) 87 Statistics (62-XX) 85 Group theory and generalizations (20-XX) 83 Probability theory and stochastic processes (60-XX) 75 Real functions (26-XX) 75 Functional analysis (46-XX) 73 Algebraic geometry (14-XX) 73 Systems theory; control (93-XX) 70 Manifolds and cell complexes (57-XX) 64 Approximations and expansions (41-XX) 61 Biology and other natural sciences (92-XX) 58 Difference and functional equations (39-XX) 58 Operator theory (47-XX) 53 Partial differential equations (35-XX) 42 Ordinary differential equations (34-XX) 37 Statistical mechanics, structure of matter (82-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Functions of a complex variable (30-XX) 31 Quantum theory (81-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 29 Special functions (33-XX) 29 Abstract harmonic analysis (43-XX) 27 Geometry (51-XX) 27 Mechanics of deformable solids (74-XX) 26 Field theory and polynomials (12-XX) 25 Mathematical logic and foundations (03-XX) 21 Topological groups, Lie groups (22-XX) 21 General topology (54-XX) 20 Commutative algebra (13-XX) 20 Differential geometry (53-XX) 17 Sequences, series, summability (40-XX) 16 Fluid mechanics (76-XX) 13 Optics, electromagnetic theory (78-XX) 10 General and overarching topics; collections (00-XX) 10 Integral transforms, operational calculus (44-XX) 10 Integral equations (45-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 History and biography (01-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic topology (55-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Relativity and gravitational theory (83-XX) 6 Geophysics (86-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 \(K\)-theory (19-XX) 4 Mechanics of particles and systems (70-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Mathematics education (97-XX) 1 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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