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List of works by Jeffrey Lagarias

A bound for the least prime ideal in the Chebotarev Density Theorem

scientific article published in October 1979

An Elementary Problem Equivalent to the Riemann Hypothesis

Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group

scientific article published in 2005

Apollonian circle packings: Geometry and group theory, II: Super-Apollonian group and integral packings

scientific article published on 17 October 2005

Apollonian circle packings: Geometry and group theory, III: Higher dimensions

scientific article published on 17 October 2005

Apollonian circle packings: number theory

scientific article published in 2003

Area Inequalities for Embedded Disks Spanning Unknotted Curves

scientific article published in 2004

Beyond the Descartes Circle Theorem

Bounds for Local Density of Sphere Packings and the Kepler Conjecture

scientific article published in 2002

Bounds for the 3x+1 problem using difference inequalities

Complements to Li's Criterion for the Riemann Hypothesis

scientific article (publication date: August 1999)

Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions

Euler’s constant: Euler’s work and modern developments

article published in 2013

Karmarkar's linear programming algorithm and Newton's method

scientific article published in 1991

Keller's cube-tiling conjecture\\is false in high dimensions

article published in 1992

Orthonormal bases of exponentials for the n -cube

Polynomial Splitting Measures and Cohomology of the Pure Braid Group

Polynomial Time Algorithms for Finding Integer Relations among Real Numbers

1989 journal article

Reconstructing Truncated Integer Variables Satisfying Linear Congruences

Simultaneous Diophantine approximation of rationals by rationals

Simultaneously good bases of a lattice and its reciprocal lattice

Single-Suit Two-Person Card Play

scientific article published in 1987

Splitting behavior of S n -polynomials

The 3x + 1 Problem and its Generalizations

The EKG Sequence

scientific article published in 2002

The Lerch Zeta function III. Polylogarithms and special values

article published in 2016

The Lerch zeta function IV. Hecke operators

The computational complexity of knot and link problems

scientific article (publication date: March 1999)

The set of primes dividing the Lucas numbers has density 2∕3

Tiling with polyominoes and combinatorial group theory

Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions

scientific article published in 1991

Wild and Wooley Numbers

scientific article (publication date: February 2006)