|
+
|
Ray class groups and ray class fields for orders of number fields
|
2025
|
Gene S. Kopp
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Asymptotics of reciprocal supernorm partition statistics
|
2024
|
Jeffrey C. Lagarias
Chenyang Sun
|
|
+
PDF
Chat
|
SIC-POVMs and orders of real quadratic fields
|
2024
|
Gene S. Kopp
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The family of $a$-floor quotient partial orders
|
2024
|
Jeffrey C. Lagarias
David Harry Richman
|
|
+
|
The floor quotient partial order
|
2023
|
Jeffrey C. Lagarias
David Harry Richman
|
|
+
PDF
Chat
|
Characterizing the supernorm partition statistic
|
2023
|
Jeffrey C. Lagarias
|
|
+
|
The error term in the truncated Perron formula for the logarithm of an <i>L</i>-function
|
2023
|
Stephan Ramon Garcia
Jeffrey C. Lagarias
Ethan Simpson Lee
|
|
+
|
Asymptotics of Reciprocal Supernorm Partition Statistics
|
2023
|
Jeffrey C. Lagarias
Chenyang Sun
|
|
+
|
The factorial function and generalizations, extended
|
2023
|
Jeffrey C. Lagarias
Wijit Yangjit
|
|
+
|
Conway’s Mathematics After Conway
|
2022
|
Alex Ryba
Philip Ehrlich
RICHARD L. KENYON
Jeffrey C. Lagarias
James Propp
Louis H. Kauffman
|
|
+
|
The error term in the truncated Perron formula for the logarithm of an $L$-function
|
2022
|
Stephan Ramon Garcia
Jeffrey C. Lagarias
Ethan Simpson Lee
|
|
+
|
Class field theory for orders of number fields
|
2022
|
Gene S. Kopp
Jeffrey C. Lagarias
|
|
+
|
The 3x+1 Problem: An Overview
|
2021
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Partial factorizations of products of binomial coefficients
|
2021
|
Lara Du
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Band-limited mimicry of point processes by point processes supported on a lattice
|
2021
|
Jeffrey C. Lagarias
Brad Rodgers
|
|
+
|
Decimation and interleaving operations in one-sided symbolic dynamics
|
2021
|
William C. Abram
Jeffrey C. Lagarias
Daniel J. Slonim
|
|
+
|
Interleaving of path sets
|
2021
|
William C. Abram
Jeffrey C. Lagarias
Daniel J. Slonim
|
|
+
|
Problems in number theory related to aperiodic order
|
2021
|
Jeffrey C. Lagarias
|
|
+
|
Partial Factorizations of Generalized Binomial Products
|
2021
|
Lara Du
Jeffrey C. Lagarias
Wijit Yangjit
|
|
+
|
The 3x+1 Problem: An Overview
|
2021
|
Jeffrey C. Lagarias
|
|
+
|
Decimation and Interleaving Operations in One-Sided Symbolic Dynamics.
|
2020
|
William C. Abram
Jeffrey C. Lagarias
Daniel J. Slonim
|
|
+
PDF
Chat
|
HIGHER CORRELATIONS AND THE ALTERNATIVE HYPOTHESIS
|
2020
|
Jeffrey C. Lagarias
Brad Rodgers
|
|
+
|
Partial Factorizations of Products of Binomial Coefficients
|
2020
|
Lara Du
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Dilated floor functions having nonnegative commutator II. Negative dilations
|
2020
|
Jeffrey C. Lagarias
David Harry Richman
|
|
+
|
Decimation and Interleaving Operations in One-Sided Symbolic Dynamics
|
2020
|
William C. Abram
Jeffrey C. Lagarias
Daniel J. Slonim
|
|
+
|
Moser’s shadow problem
|
2019
|
Jeffrey C. Lagarias
Yusheng Luo
Arnau Padrol
|
|
+
|
Dilated floor functions having nonnegative commutator II. Negative dilations
|
2019
|
Jeffrey C. Lagarias
David Harry Richman
|
|
+
|
Band-limited mimicry of point processes by point processes supported on a lattice
|
2019
|
Jeffrey C. Lagarias
Brad Rodgers
|
|
+
PDF
Chat
|
On Toric Orbits in the Affine Sieve
|
2019
|
Alex Kontorovich
Jeffrey C. Lagarias
|
|
+
|
Dilated floor functions having nonnegative commutator II. Negative dilations
|
2019
|
Jeffrey C. Lagarias
David Harry Richman
|
|
+
|
Band-limited mimicry of point processes by point processes supported on a lattice
|
2019
|
Jeffrey C. Lagarias
Brad Rodgers
|
|
+
PDF
Chat
|
Dilated floor functions having nonnegative commutator I. Positive and mixed sign dilations
|
2018
|
Jeffrey C. Lagarias
David Harry Richman
|
|
+
|
Erdős, Klarner, and the 3x + 1 Problem
|
2018
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Configuration Spaces of Equal Spheres Touching a Given Sphere: The Twelve Spheres Problem
|
2018
|
Rob Kusner
Wöden Kusner
Jeffrey C. Lagarias
Senya Shlosman
|
|
+
PDF
Chat
|
Shifted polyharmonic Maass forms for ${\rm PSL} (2,{\mathbb Z})$
|
2018
|
Nickolas Andersen
Jeffrey C. Lagarias
Robert C. Rhoades
|
|
+
PDF
Chat
|
Polynomial Splitting Measures and Cohomology of the Pure Braid Group
|
2017
|
Trevor Hyde
Jeffrey C. Lagarias
|
|
+
|
The twelve spheres problem
|
2016
|
Rob Kusner
Wöden Kusner
Jeffrey C. Lagarias
Senya Shlosman
|
|
+
|
Erdos, Klarner, and the 3x + 1 problem
|
2016
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Intersections of Multiplicative Translates of 3-Adic Cantor Sets II: Two Infinite Families
|
2016
|
William C. Abram
Artem Bolshakov
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The Lerch zeta function IV. Hecke operators
|
2016
|
Jeffrey C. Lagarias
Wen-Ching Winnie Li
|
|
+
PDF
Chat
|
Products of Farey Fractions
|
2016
|
Jeffrey C. Lagarias
Harsh Mehta
|
|
+
PDF
Chat
|
Polyharmonic Maass forms for $$\text {PSL}(2,{\mathbb Z})$$
|
2016
|
Jeffrey C. Lagarias
Robert C. Rhoades
|
|
+
PDF
Chat
|
The Lerch Zeta function III. Polylogarithms and special values
|
2016
|
Jeffrey C. Lagarias
Wen-Ching Winnie Li
|
|
+
|
Erdős, Klarner, and the 3<em>x</em> + 1 Problem
|
2016
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Dilated Floor Functions That Commute
|
2016
|
Jeffrey C. Lagarias
Takumi Murayama
David Harry Richman
|
|
+
|
Configuration Spaces of Equal Spheres Touching a Given Sphere: The Twelve Spheres Problem
|
2016
|
Rob Kusner
Wöden Kusner
Jeffrey C. Lagarias
Senya Shlosman
|
|
+
|
The Lerch zeta function and the Heisenberg group
|
2015
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
A family of measures on symmetric groups and the field with one element
|
2015
|
Jeffrey C. Lagarias
|
|
+
|
Intersections of multiplicative translates of $3$-adic Cantor sets, Part II
|
2015
|
William C. Abram
Artem Bolshakov
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Products of binomial coefficients and unreduced Farey fractions
|
2015
|
Jeffrey C. Lagarias
Harsh Mehta
|
|
+
PDF
Chat
|
Book Review: Dense sphere packings: a blueprint for formal proofs
|
2015
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Splitting behavior of S n -polynomials
|
2015
|
Jeffrey C. Lagarias
Benjamin Weiss
|
|
+
PDF
Chat
|
Intersections of multiplicative translates of 3-adic Cantor sets
|
2015
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
|
Notes on Cardinal's Matrices
|
2015
|
Jeffrey C. Lagarias
David Montague
|
|
+
PDF
Chat
|
3x+1 inverse orbit generating functions almost always have natural boundaries
|
2015
|
Jason P. Bell
Jeffrey C. Lagarias
|
|
+
|
The Lerch zeta function and the Heisenberg group
|
2015
|
Jeffrey C. Lagarias
|
|
+
|
$3x+1$ inverse orbit generating functions almost always have natural boundaries
|
2014
|
Jason P. Bell
Jeffrey C. Lagarias
|
|
+
|
Path sets in one-sided symbolic dynamics
|
2014
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
p-adic path set fractals and arithmetic
|
2014
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
|
$3x+1$ inverse orbit generating functions almost always have natural boundaries
|
2014
|
Jason P. Bell
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
A Skolem–Mahler–Lech Theorem for Iterated Automorphisms of<i>K</i>–algebras
|
2013
|
Jason P. Bell
Jeffrey C. Lagarias
|
|
+
|
Intersections of multiplicative translates of 3-adic Cantor sets
|
2013
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Euler’s constant: Euler’s work and modern developments
|
2013
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Ergodicity of the Action of K* on
|
2013
|
Jeffrey C. Lagarias
Sergey Neshveyev
|
|
+
|
Moser's Shadow Problem
|
2013
|
Jeffrey C. Lagarias
Yusheng Luo
Arnau Padrol
|
|
+
|
Intersections of multiplicative translates of 3-adic Cantor sets
|
2013
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
|
Random Hill’s Equations, Random Walks, and Products of Random Matrices
|
2013
|
Fred C. Adams
Anthony M. Bloch
Jeffrey C. Lagarias
|
|
+
|
Mysteries in Packing Regular Tetrahedra
|
2012
|
Jeffrey C. Lagarias
Chuanming Zong
|
|
+
|
p-adic path set fractals
|
2012
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
|
The Takagi function and its properties (Functions in Number Theory and Their Probabilistic Aspects)
|
2012
|
Jeffrey C. Lagarias
|
|
+
|
Path Sets and their Symbolic Dynamics
|
2012
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
|
Symbolic dynamics of path sets
|
2012
|
William C. Abram
Jeffrey C. Lagarias
|
|
+
|
Convergence of the Restricted Nelder--Mead Algorithm in Two Dimensions
|
2012
|
Jeffrey C. Lagarias
Bjorn Poonen
Margaret H. Wright
|
|
+
PDF
Chat
|
Level sets of the Takagi function: local level sets
|
2012
|
Jeffrey C. Lagarias
Zachary Maddock
|
|
+
PDF
Chat
|
The Maximal Density of Product-Free Sets in ℤ/nℤ
|
2012
|
Pär Kurlberg
Jeffrey C. Lagarias
Carl Pomerance
|
|
+
|
On sets of integers which are both sum-free and product-free
|
2012
|
Pär Kurlberg
Jeffrey C. Lagarias
Carl Pomerance
|
|
+
PDF
Chat
|
Product-free sets with high density
|
2012
|
Pär Kurlberg
Jeffrey C. Lagarias
Carl Pomerance
|
|
+
PDF
Chat
|
Convergence of the Restricted Nelder--Mead Algorithm in Two Dimensions
|
2012
|
Jeffrey C. Lagarias
Bjorn Poonen
Margaret H. Wright
|
|
+
|
On Sets of Integers Which Are Both Sum-Free and Product-Free
|
2012
|
Pär Kurlberg
Jeffrey C. Lagarias
Carl Pomerance
|
|
+
|
On sets of integers which are both sum-free and product-free
|
2012
|
Pär Kurlberg
Jeffrey C. Lagarias
Carl Pomerance
|
|
+
PDF
Chat
|
Counting smooth solutions to the equation <i>A</i> +<i>B</i> =<i>C</i>
|
2011
|
Jeffrey C. Lagarias
K. Soundararajan
|
|
+
|
Erratum to: Errata The Kepler Conjecture: The Hales-Ferguson Proof
|
2011
|
Jeffrey C. Lagarias
|
|
+
|
The Ultimate Challenge: The 3x+1 Problem
|
2011
|
Jeffrey C. Lagarias
|
|
+
|
The Integral of the Riemann xi-function
|
2011
|
Jeffrey C. Lagarias
David Montague
|
|
+
PDF
Chat
|
Level sets of the Takagi function: generic level sets
|
2011
|
Zachary Maddock
Jeffrey C. Lagarias
|
|
+
|
The Kepler Conjecture
|
2011
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Smooth solutions to the abc equation: the xyz Conjecture
|
2011
|
Jeffrey C. Lagarias
K. Soundararajan
|
|
+
|
The Takagi Function and Its Properties
|
2011
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The Lerch zeta function I. Zeta integrals
|
2010
|
Jeffrey C. Lagarias
Wen-Ching Winnie Li
|
|
+
PDF
Chat
|
The Lerch zeta function II. Analytic continuation
|
2010
|
Jeffrey C. Lagarias
Wen-Ching Winnie Li
|
|
+
PDF
Chat
|
CYCLIC SYSTEMS OF SIMULTANEOUS CONGRUENCES
|
2010
|
Jeffrey C. Lagarias
|
|
+
|
Smooth solutions to the equation A+B=C
|
2009
|
Jeffrey C. Lagarias
K. Soundararajan
|
|
+
PDF
Chat
|
Ternary expansions of powers of 2
|
2009
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The Kruskal Count
|
2009
|
Jeffrey C. Lagarias
Eric M. Rains
Robert J. Vanderbei
|
|
+
|
Stochastic Models for the 3x+1 and 5x+1 Problems
|
2009
|
Alex Kontorovich
Jeffrey C. Lagarias
|
|
+
|
Smooth solutions to the abc equation: the xyz Conjecture
|
2009
|
Jeffrey C. Lagarias
K. Soundararajan
|
|
+
|
Baking a Pi with Factorials: 11333 [2007, 926].
|
2009
|
Jonathan Bober
Jeffrey C. Lagarias
Byron Schmuland
|
|
+
PDF
Chat
|
The Schrödinger operator with Morse potential on the right half-line
|
2009
|
Jeffrey C. Lagarias
|
|
+
|
Cyclic systems of simultaneous congruences
|
2007
|
Jeffrey C. Lagarias
|
|
+
|
The Schr\"odinger operator with Morse potential on the right half line
|
2007
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Apollonian circle packings: Number theory II. Spherical and hyperbolic packings
|
2007
|
Nicholas Eriksson
Jeffrey C. Lagarias
|
|
+
|
Hilbert Spaces of Entire Functions and Dirichlet L-Functions
|
2007
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Li coefficients for automorphic L-functions
|
2007
|
Jeffrey C. Lagarias
|
|
+
|
The Schrödinger operator with Morse potential on the right half line
|
2007
|
Jeffrey C. Lagarias
|
|
+
|
Cyclic systems of simultaneous congruences
|
2007
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
BENFORD'S LAW FOR THE $3x+1$ FUNCTION
|
2006
|
Jeffrey C. Lagarias
K. Soundararajan
|
|
+
|
The Riemann hypothesis for certain integrals of Eisenstein series (解析的整数論とその周辺 研究集会報告集)
|
2006
|
正俊 鈴木
Jeffrey C. Lagarias
|
|
+
|
The Riemann hypothesis for certain integrals of Eisenstein series
|
2006
|
Jeffrey C. Lagarias
Masatoshi Suzuki
|
|
+
|
Hilbert Spaces of Entire Functions and Dirichlet L-Functions
|
2006
|
Jeffrey C. Lagarias
|
|
+
|
Wild and Wooley Numbers
|
2006
|
Jeffrey C. Lagarias
|
|
+
|
Wild and Wooley Numbers
|
2006
|
Jeffrey C. Lagarias
|
|
+
|
The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)
|
2006
|
Jeffrey C. Lagarias
|
|
+
|
Succinct certificates for solutions to binary quadratic Diophantine equations
|
2006
|
Jeffrey C. Lagarias
|
|
+
|
Zero Spacing Distributions for Differenced L-Functions
|
2006
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
|
2005
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
|
The ternary expansions of powers of 2
|
2005
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles
|
2005
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
PDF
Chat
|
Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings
|
2005
|
Ronald Graham
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
Catherine H. Yan
|
|
+
PDF
Chat
|
Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions
|
2005
|
Ronald Graham
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
Catherine H. Yan
|
|
+
PDF
Chat
|
Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers
|
2005
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
PDF
Chat
|
Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group
|
2005
|
Ronald Graham
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
Catherine H. Yan
|
|
+
|
The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mn>3</mml:mn><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> semigroup
|
2005
|
David Applegate
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
A Note on Absolute Derivations and Zeta Functions
|
2005
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Zero spacing distributions for differenced L-functions
|
2005
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Correction to: ``On a positivity property of the Riemann ξ-function'' (Acta Arith. 89 (1999), 217–234)
|
2005
|
Jeffrey C. Lagarias
|
|
+
|
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
|
2005
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
|
Benford's law for the $3x+1$ function
|
2005
|
Jeffrey C. Lagarias
K. Soundararajan
|
|
+
|
The Wild Numbers
|
2004
|
Jeffrey C. Lagarias
|
|
+
|
The 3x+1 Semigroup
|
2004
|
David Applegate
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Area Inequalities for Embedded Disks Spanning Unknotted Curves
|
2004
|
Jeffrey C. Lagarias
Joel Hass
William P. Thurston
|
|
+
|
Comment on: Absolute Derivations and Zeta Functions
|
2004
|
Jeffrey C. Lagarias
|
|
+
|
A Generous Bound for Divisor Sums: 10949
|
2004
|
Jeffrey C. Lagarias
Walther Janous
|
|
+
|
The Riemann hypothesis for certain integrals of Eisenstein series
|
2004
|
Jeffrey C. Lagarias
Masatoshi Suzuki
|
|
+
|
Li Coefficients for Automorphic L-Functions
|
2004
|
Jeffrey C. Lagarias
|
|
+
|
Apollonian Circle Packings: Number Theory II. Spherical and Hyperbolic Packings
|
2004
|
Nicholas Eriksson
Jeffrey C. Lagarias
|
|
+
|
The 3x+1 Semigroup
|
2004
|
David Applegate
Jeffrey C. Lagarias
|
|
+
|
A Note on Absolute Derivations and Zeta Functions
|
2004
|
Jeffrey C. Lagarias
|
|
+
|
Wild and Wooley Numbers
|
2004
|
Jeffrey C. Lagarias
|
|
+
|
The 3x+1 problem: An annotated bibliography
|
2003
|
Jeffrey C. Lagarias
|
|
+
|
The 3x+1 problem: An annotated bibliography (1963--1999)
|
2003
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Repetitive Delone sets and quasicrystals
|
2003
|
Jeffrey C. Lagarias
P. A. B. Pleasants
|
|
+
PDF
Chat
|
Apollonian circle packings: number theory
|
2003
|
Ronald Graham
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
Catherine H. Yan
|
|
+
PDF
Chat
|
Substitution Delone Sets
|
2003
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
PDF
Chat
|
On a two-variable zeta function for number fields
|
2003
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
|
The 3x+1 problem: An annotated bibliography (1963--1999) (sorted by author)
|
2003
|
Jeffrey C. Lagarias
|
|
+
|
The Minimal Number of Triangles Needed to Span a Polygon Embedded in ℝd
|
2003
|
Joel Hass
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Correction to : “Linear fractional transformations of continued fractions with bounded partial quotients”
|
2003
|
Jeffrey C. Lagarias
Jeffrey Shallit
|
|
+
|
Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers
|
2003
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
|
Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles
|
2003
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
|
Area Inequalities for Embedded Disks Spanning Unknotted Curves
|
2003
|
Joel Hass
Jeffrey C. Lagarias
William P. Thurston
|
|
+
PDF
Chat
|
Bounds for the 3x+1 problem using difference inequalities
|
2003
|
Ilia Krasikov
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Local Complexity of Delone Sets and Crystallinity
|
2002
|
Jeffrey C. Lagarias
P. A. B. Pleasants
|
|
+
PDF
Chat
|
The computational complexity of knot and link problems
|
2002
|
Joel Hass
Jeffrey C. Lagarias
Nicholas Pippenger
|
|
+
|
The Number of Triangles Needed to Span a Polygon Embedded in R^d
|
2002
|
Joel Hass
Jeffrey C. Lagarias
|
|
+
|
Counting dyadic equipartitions of the unit square
|
2002
|
Jeffrey C. Lagarias
Joel Spencer
Jade P. Vinson
|
|
+
|
Lower bounds for the total stopping time of 3𝑥+1 iterates
|
2002
|
David Applegate
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
An Elementary Problem Equivalent to the Riemann Hypothesis
|
2002
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
An Elementary Problem Equivalent to the Riemann Hypothesis
|
2002
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Beyond the Descartes Circle Theorem
|
2002
|
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
|
|
+
PDF
Chat
|
Beyond the Descartes Circle Theorem
|
2002
|
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
|
|
+
|
Affine isoperimetric inequalities for piecewise linear surfaces
|
2002
|
Joel Hass
Jeffrey C. Lagarias
|
|
+
|
The Number of Triangles Needed to Span a Polygon Embedded in R^d
|
2002
|
Joel Hass
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Bounds for Local Density of Sphere Packings and the Kepler Conjecture
|
2002
|
Jeffrey C. Lagarias
|
|
+
|
The Kruskal Count
|
2001
|
Jeffrey C. Lagarias
Eric M. Rains
Robert J. Vanderbei
|
|
+
PDF
Chat
|
Cutting Sequences for Geodesic Flow on the Modular Surface and Continued Fractions
|
2001
|
David J. Grabiner
Jeffrey C. Lagarias
|
|
+
|
On a two-variable zeta function for number fields
|
2001
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
|
Corrigendum/addendum to: Sets of matrices all infinite products of which converge
|
2001
|
Ingrid Daubechies
Jeffrey C. Lagarias
|
|
+
|
The number of Reidemeister moves needed for unknotting
|
2001
|
Joel Hass
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Universal Spectra and Tijdeman's Conjecture on Factorization of Cyclic Groups
|
2001
|
Jeffrey C. Lagarias
Sandor Szabo
|
|
+
PDF
Chat
|
On the Normality of Arithmetical Constants
|
2001
|
Jeffrey C. Lagarias
|
|
+
|
Substitution Delone Sets
|
2001
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
Lower bounds for the total stopping time of 3X+1 iterates
|
2001
|
David Applegate
Jeffrey C. Lagarias
|
|
+
|
On the Normality of Arithmetical Constants
|
2001
|
Jeffrey C. Lagarias
|
|
+
|
The Kruskal Count
|
2001
|
Jeffrey C. Lagarias
Eric M. Rains
Robert J. Vanderbei
|
|
+
|
On a two-variable zeta function for number fields
|
2001
|
Jeffrey C. Lagarias
Eric M. Rains
|
|
+
|
Beyond the Descartes circle theorem
|
2001
|
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
|
|
+
|
Orthonormal bases of exponentials for the n-cube
|
2000
|
Jeffrey C. Lagarias
James A. Reeds
Yang Wang
|
|
+
|
The lap-counting and zeta functions of the tent map
|
2000
|
Leopold Flatto
Jeffrey C. Lagarias
|
|
+
|
Orthogonality criteria for compactly supported refinable functions and refinable function vectors
|
2000
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
Apollonian Circle Packings: Number Theory
|
2000
|
Ronald Graham
Jeffrey C. Lagarias
C. L. Mallows
Allan R. Wilks
Catherine H. Yan
|
|
+
|
Universal Spectra and Tijdeman's Conjecture on Factorization of Cyclic Groups
|
2000
|
Jeffrey C. Lagarias
Sándor Szabó
|
|
+
|
Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions
|
2000
|
Ronald Graham
Jeffrey C. Lagarias
Colin L. Mallows
Allan R. Wilks
Catherine H. Yan
|
|
+
|
Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings
|
2000
|
Ronald Graham
Jeffrey C. Lagarias
C. L. Mallows
Allan R. Wilks
Catherine H. Yan
|
|
+
|
An Elementary Problem Equivalent to the Riemann Hypothesis
|
2000
|
Jeffrey C. Lagarias
|
|
+
|
Bounds for Local Density of Sphere Packings and the Kepler Conjecture
|
2000
|
Jeffrey C. Lagarias
|
|
+
|
Complements to Li's Criterion for the Riemann Hypothesis
|
1999
|
Enrico Bombieri
Jeffrey C. Lagarias
|
|
+
|
Haar Bases forL2( ) and Algebraic Number Theory
|
1999
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
PDF
Chat
|
Geometric Models for Quasicrystals II. Local Rules Under Isometries
|
1999
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The computational complexity of knot and link problems
|
1999
|
Joel Hass
Jeffrey C. Lagarias
Nicholas Pippenger
|
|
+
PDF
Chat
|
Geometric Models for Quasicrystals I. Delone Sets of Finite Type
|
1999
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
On a positivity property of the Riemann ξ-function
|
1999
|
Jeffrey C. Lagarias
|
|
+
|
Haar Bases for L 2 (R n ) and Algebraic Number Theory
|
1999
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
CORRIGENDUMADDENDUM Haar Bases for L 2 (R n ) and Algebraic Number Theory
|
1999
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
PDF
Chat
|
Multiregular Point Systems
|
1998
|
Н. П. Долбилин
Jeffrey C. Lagarias
Marjorie Senechal
|
|
+
|
Modular Fekete Polynomials: 10479
|
1998
|
Jeffrey C. Lagarias
Allen Stenger
|
|
+
|
Threading Homotopies and DC Operating Points of Nonlinear Circuits
|
1998
|
Ross Geoghegan
Jeffrey C. Lagarias
Robert Melville
|
|
+
|
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
|
1998
|
Jeffrey C. Lagarias
James A. Reeds
Margaret H. Wright
Paul E. Wright
|
|
+
PDF
Chat
|
Counting d -Step Paths in Extremal Dantzig Figures
|
1998
|
Jeffrey C. Lagarias
Nagabhushana Prabhu
|
|
+
|
The number of Reidemeister Moves Needed for Unknotting
|
1998
|
Joel Hass
Jeffrey C. Lagarias
|
|
+
|
The Computational Complexity of Knot and Link Problems
|
1998
|
Joel Hass
Jeffrey C. Lagarias
Nicholas Pippenger
|
|
+
|
Cutting Sequences for Geodesic Flow on the Modular Surface and Continued Fractions
|
1997
|
David J. Grabiner
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The d-Step Conjecture and Gaussian Elimination
|
1997
|
Jeffrey C. Lagarias
Nagabhushana Prabhu
James A. Reeds
|
|
+
|
The lap-counting function for linear mod one transformations III: the period of a Markov chain
|
1997
|
Leopold Flatto
Jeffrey C. Lagarias
|
|
+
|
Spectral Sets and Factorizations of Finite Abelian Groups
|
1997
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
The lap-counting function for linear mod one transformations II: the Markov chain for generalized lap numbers
|
1997
|
Leopold Flatto
Jeffrey C. Lagarias
|
|
+
|
Integral self-affine tiles in ℝ n part II: Lattice tilings
|
1997
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
PDF
Chat
|
Linear fractional transformations of continued fractions with bounded partial quotients
|
1997
|
Jeffrey C. Lagarias
Jeffrey Shallit
|
|
+
|
Cutting Sequences for Geodesic Flow on the Modular Surface and Continued Fractions
|
1997
|
David J. Grabiner
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The 3<i>x</i>+ 1 Conjugacy Map
|
1996
|
Daniel J. Bernstein
Jeffrey C. Lagarias
|
|
+
|
Integral Self-Affine Tiles in ℝ<sup> <i>n</i> </sup> I. Standard and Nonstandard Digit Sets
|
1996
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
Self-Affine Tiles in Rn
|
1996
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
The lap-counting function for linear mod one transformations I: explicit formulas and renormalizability
|
1996
|
Leopold Flatto
Jeffrey C. Lagarias
|
|
+
|
Haar Bases forL2(Rn) and Algebraic Number Theory
|
1996
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
Structure of tilings of the line by a function
|
1996
|
Mihail N. Kolountzakis
Jeffrey C. Lagarias
|
|
+
|
Point lattices
|
1996
|
Jeffrey C. Lagarias
|
|
+
|
Integral Self-Affine Tiles in ${\Bbb R}^n$ Part II: Lattice Tilings
|
1996
|
Jeffrey C. Lagarias
Yan Wang
|
|
+
|
Tiling the line with translates of one tile
|
1996
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
PDF
Chat
|
Nonnegative Radix Representations for the Orthant 𝑅ⁿ₊
|
1996
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
|
The parameter space of the d-step conjecture
|
1996
|
Jeffrey C. Lagarias
Nagabhushana Prabhu
James A. Reeds
|
|
+
PDF
Chat
|
Acknowledgment of priority concerning: Polytopes that Fill ℝ n and scissors congruence
|
1995
|
Jeffrey C. Lagarias
David Moews
|
|
+
PDF
Chat
|
The continuous Diophantine approximation mapping of Szekeres
|
1995
|
Jeffrey C. Lagarias
Andrew Pollington
|
|
+
PDF
Chat
|
Polytopes that fill ℝn and scissors congruenceand scissors congruence
|
1995
|
Jeffrey C. Lagarias
David Moews
|
|
+
|
A walk along the branches of the extended Farey Tree
|
1995
|
Jeffrey C. Lagarias
Charles Tresser
|
|
+
|
Haar Type Orthonormal Wavelet Bases in R2
|
1995
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
PDF
Chat
|
Density Bounds for the 3x + 1 Problem. I. Tree-Search Method
|
1995
|
David Applegate
Jeffrey C. Lagarias
|
|
+
|
The Distribution of 3x+1 Trees
|
1995
|
David Applegate
Jeffrey C. Lagarias
|
|
+
|
The finiteness conjecture for the generalized spectral radius of a set of matrices
|
1995
|
Jeffrey C. Lagarias
Yang Wang
|
|
+
PDF
Chat
|
Density Bounds for the 3x + 1 Problem. II. Krasikov Inequalities
|
1995
|
David Applegate
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
On the range of fractional parts {ξ(p/q)ⁿ}
|
1995
|
Leopold Flatto
Jeffrey C. Lagarias
Andrew Pollington
|
|
+
PDF
Chat
|
Density bounds for the 3𝑥+1 problem. II. Krasikov inequalities
|
1995
|
David Applegate
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Density bounds for the 3𝑥+1 problem. I. Tree-search method
|
1995
|
David Applegate
Jeffrey C. Lagarias
|
|
+
|
Point Lattices
|
1995
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Asymmetric tent map expansions II. Purely periodic points
|
1994
|
Jeffrey C. Lagarias
Horaçio Porta
Kenneth B. Stolarsky
|
|
+
|
Geodesic Multidimensional Continued Fractions
|
1994
|
Jeffrey C. Lagarias
|
|
+
|
The zeta function of the beta transformation
|
1994
|
Leopold Flatto
Jeffrey C. Lagarias
Bjorn Poonen
|
|
+
PDF
Chat
|
Errata to: “The set of primes dividing the Lucas numbers has density 2<i>∕</i>3”
|
1994
|
Jeffrey C. Lagarias
|
|
+
|
On the thermodynamic formalism for multifractal functions
|
1994
|
Ingrid Daubechies
Jeffrey C. Lagarias
|
|
+
|
ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS
|
1994
|
Ingrid Daubechies
Jeffrey C. Lagarias
|
|
+
|
On the Distribution of Multiplicative Translates of Sets of Residues (mod p)
|
1994
|
Johan Håstad
Jeffrey C. Lagarias
Andrew Odlyzko
|
|
+
|
The quality of the Diophantine approximations found by the Jacobi-Perron algorithm and related algorithms
|
1993
|
Jeffrey C. Lagarias
|
|
+
|
A Collinear Scaling Interpretation of Karmarkar’s Linear Programming Algorithm
|
1993
|
Jeffrey C. Lagarias
|
|
+
|
Asymmetric Tent Map Expansions. I. Eventually Periodic Points
|
1993
|
Jeffrey C. Lagarias
Horaçio Porta
Kenneth B. Stolarsky
|
|
+
|
A lie bracket decomposition and its application to flows on symmetric matrices
|
1992
|
Jeffrey C. Lagarias
|
|
+
|
Keller's cube-tiling conjecture is false in high dimensions
|
1992
|
Jeffrey C. Lagarias
Peter W. Shor
|
|
+
PDF
Chat
|
Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
|
1992
|
Ingrid Daubechies
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The $3x + 1$ Problem: Two Stochastic Models
|
1992
|
Jeffrey C. Lagarias
Alan Weiss
|
|
+
PDF
Chat
|
Keller’s cube-tiling conjecture is false in high dimensions
|
1992
|
Jeffrey C. Lagarias
Peter W. Shor
|
|
+
|
Sets of matrices all infinite products of which converge
|
1992
|
Ingrid Daubechies
Jeffrey C. Lagarias
|
|
+
|
Keller's cube-tiling conjecture is false in high dimensions
|
1992
|
Jeffrey C. Lagarias
Peter W. Shor
|
|
+
PDF
Chat
|
Bounds for Lattice Polytopes Containing a Fixed Number of Interior Points in a Sublattice
|
1991
|
Jeffrey C. Lagarias
Günter M. Ziegler
|
|
+
|
Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
|
1991
|
Ingrid Daubechies
Jeffrey C. Lagarias
|
|
+
|
Sets uniquely determined by projections on axes II Discrete case
|
1991
|
P. C. Fishburn
Jeffrey C. Lagarias
James A. Reeds
L. A. Shepp
|
|
+
|
Monotonicity Properties of the Toda Flow, the QR-Flow, and Subspace Iteration
|
1991
|
Jeffrey C. Lagarias
|
|
+
|
Karmarkar's linear programming algorithm and Newton's method
|
1991
|
David Bayer
Jeffrey C. Lagarias
|
|
+
|
Number Theory and Dynamical Systems (Preliminary Notes)
|
1991
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
|
1990
|
Jeffrey C. Lagarias
H. W. Lenstra
C. P. Schnorr
|
|
+
|
Simultaneously good bases of a lattice and its reciprocal lattice
|
1990
|
Johan Håstad
Jeffrey C. Lagarias
|
|
+
|
Tiling with polyominoes and combinatorial group theory
|
1990
|
John H. Conway
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Sets Uniquely Determined by Projections on Axes I. Continuous Case
|
1990
|
P. C. Fishburn
Jeffrey C. Lagarias
James A. Reeds
L. A. Shepp
|
|
+
PDF
Chat
|
The nonlinear geometry of linear programming. III. Projective Legendre transform coordinates and Hilbert geometry
|
1990
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The set of rational cycles for the 3x+1 problem
|
1990
|
Jeffrey C. Lagarias
|
|
+
|
Power Series Variants of Karmarkar-Type Algorithms
|
1989
|
Narendra Karmarkar
Jeffrey C. Lagarias
Lev Slutsman
Pyng Wang
|
|
+
PDF
Chat
|
The nonlinear geometry of linear programming. I. Affine and projective scaling trajectories
|
1989
|
David Bayer
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
The nonlinear geometry of linear programming. II. Legendre transform coordinates and central trajectories
|
1989
|
David Bayer
Jeffrey C. Lagarias
|
|
+
|
Unique Extrapolation of Polynomial Recurrences
|
1988
|
Jeffrey C. Lagarias
James A. Reeds
|
|
+
|
One-way functions and circuit complexity
|
1987
|
Ravi B. Boppana
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Computing π(x): An analytic method
|
1987
|
Jeffrey C. Lagarias
Andrew Odlyzko
|
|
+
|
On the distribution in short intervals of integers having no large prime factor
|
1987
|
John Friedlander
Jeffrey C. Lagarias
|
|
+
|
Simultaneous Diophantine approximation of rationals by rationals
|
1986
|
Jeffrey C. Lagarias
Johan Håstad
|
|
+
PDF
Chat
|
The set of primes dividing the Lucas numbers has density 2<i>∕</i>3
|
1985
|
Jeffrey C. Lagarias
|
|
+
|
The Computational Complexity of Simultaneous Diophantine Approximation Problems
|
1985
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Computing 𝜋(𝑥): the Meissel-Lehmer method
|
1985
|
Jeffrey C. Lagarias
Victor S. Miller
Andrew Odlyzko
|
|
+
|
The 3<i>x</i>+ 1 Problem and its Generalizations
|
1985
|
Jeffrey C. Lagarias
|
|
+
|
The 3x + 1 Problem and Its Generalizations
|
1985
|
Jeffrey C. Lagarias
|
|
+
|
New algorithms for computing π(x)
|
1984
|
Jeffrey C. Lagarias
Andrew Odlyzko
|
|
+
|
On the Tightest Packing of Sums of Vectors
|
1983
|
Jerrold R. Griggs
Jeffrey C. Lagarias
Andrew Odlyzko
James B. Shearer
|
|
+
PDF
Chat
|
Sets of primes determined by systems of polynomial congruences
|
1983
|
Jeffrey C. Lagarias
|
|
+
|
On the density of sequences of integers the sum of no two of which is a square II. General sequences
|
1983
|
Jeffrey C. Lagarias
Andrew Odlyzko
James B. Shearer
|
|
+
PDF
Chat
|
On the existence of fields governing the 2-invariants of the classgroup of 𝑄(√𝑑𝑝) as 𝑝 varies
|
1983
|
Harvey Cohn
Jeffrey C. Lagarias
|
|
+
|
The computational complexity of simultaneous Diophantine approximation problems
|
1982
|
Jeffrey C. Lagarias
|
|
+
|
The computational complexity of simultaneous Diophantine approximation problems
|
1982
|
Jeffrey C. Lagarias
|
|
+
|
On the density of sequences of integers the sum of no two of which is a square. I. Arithmetic progressions
|
1982
|
Jeffrey C. Lagarias
Andrew Odlyzko
James B. Shearer
|
|
+
PDF
Chat
|
Best simultaneous Diophantine approximations. II. Behavior of consecutive best approximations
|
1982
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
Best simultaneous Diophantine approximations. I. Growth rates of best approximation denominators
|
1982
|
Jeffrey C. Lagarias
|
|
+
|
Fibonacci and Lucas Cubes
|
1981
|
Jeffrey C. Lagarias
D. P. Weisser
|
|
+
|
Signatures of units and congruences (mod 4) in certain real quadratic fields. II.
|
1980
|
Jeffrey C. Lagarias
|
|
+
|
Signatures of units and congruences (mod 4) in certain totally real fields.
|
1980
|
Jeffrey C. Lagarias
|
|
+
|
Divisibility Properties of Some Cyclotomic Sequences
|
1980
|
Jeffrey C. Lagarias
Andrew Odlyzko
|
|
+
|
On the Computational Complexity of Determining the Solvability or Unsolvability of the Equation X 2 - DY 2 = -1
|
1980
|
Jeffrey C. Lagarias
|
|
+
|
On determining the 4-rank of the ideal class group of a quadratic field
|
1980
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
On the computational complexity of determining the solvability or unsolvability of the equation 𝑋²-𝐷𝑌²=-1
|
1980
|
Jeffrey C. Lagarias
|
|
+
PDF
Chat
|
A bound for the least prime ideal in the Chebotarev Density Theorem
|
1979
|
Jeffrey C. Lagarias
Hugh L. Montgomery
Andrew Odlyzko
|
|
+
PDF
Chat
|
On computing Artin 𝐿-functions in the critical strip
|
1979
|
Jeffrey C. Lagarias
Andrew Odlyzko
|
|
+
|
Signatures of units and congruences (mod 4) in certain real quadratic fields.
|
1978
|
Jeffrey C. Lagarias
|