Jeffrey C. Lagarias: Recent Preprints
This list includes preprints of papers that will appear, as well as some
so-far-unpublished work in progress. In the case of papers to appear,
the postscript files represent preliminary versions of the papers.
- The 3x+1 Problem: An Annotated Bibliography (1963-1999) ,
Jeffrey C. Lagarias,
Unpublished .
preprint on arXiv
[arxiv.org/abs/math/0309224]
- The 3x+1 Problem: An Annotated Bibliography (2000-2009) ,
Jeffrey C. Lagarias,
Unpublished .
preprint on arXiv
[arxiv.org/abs/math/0608208]
-
Smooth solutions to the equation A+B=C,
Jeffrey C. Lagarias and K. Soundararajan,
preprint on arXiv
[arxiv:0911.4147].
-
Stochastic Models for the 3x+1 and 5x+1 problems,
Alex Kontorovich and Jeffrey C. Lagarias
preprint on arXiv
[arxiv:0910.1944].
-
Cyclic systems of simultaneous congruences,
Jeffrey C. Lagarias,
Intl. J. Number Theory, to appear Feb. 2010
preprint on arXiv
[arxiv.org/abs/0712.3954].
-
The Schrodinger operator with Morse potential on the right half line,
Jeffrey C. Lagarias,
Communications in Number Theory and Physics 3
(2009), No.2, 323--361.
preprint on arXiv
[arxiv.org/abs/0712.3238].
- Ternary expansions of powers of 2 ,
Jeffrey C. Lagarias
J. London Math. Soc., 79 (2009), 562--588.
preprint on arXiv
[arxiv.org/abs/math/0512006].
-
The Kruskal count ,
J. C. Lagarias, E. Rains and R. Vanderbei,
in: The Mathematics of Preference, Choice and Order: Essays in
Honor of Peter C. Fishburn
(S. Brams, F. R. K. Chung, F. Roberts, Eds.)
Springer-Verlag: New York 2009, pp. 365--385.
preprint on arXiv
[arxiv.org/math.PR/0110143]
-
Li Coefficients for Automorphic L-Functions ,
Jeffrey C. Lagarias
Annales Inst. Fourier 57 (2007), 1689--1740. >
preprint on arXiv
[arxiv.org/abs/math/0404394] .
-
Apollonian Packings: Number Theory II.
Spherical and Hyperbolic packings ,
N. Eriksson and J. C. Lagarias,
The Ramanujan Journal, 14 (2007), 437--469 >.
preprint on arXiv
[arxiv.org/abs/math/0403296] .
-
Benford's law for the 3x+1 function ,
Jeffrey C. Lagarias and K. Soundararajan
J. London Math. Soc. 74 (2006), 289--303.
preprint on arXiv
[arxiv.org/abs/math/0509175].
-
Hilbert spaces of entire functions and Dirichlet L-functions
,
J. C. Lagarias,
in: Frontiers in Number Theory, Physics and Geometry I:
On Random Matrices, Zeta Functions and Dynamical Systems
(P. E. Cartier, B. Julia, P. Moussa and P. van Hove, Eds.),
Springer-Verlag: Berlin 2006, pp. 365--377 > .
preprint
[PostScript]
[Pdf]
-
The Riemann hypothesis for certain integrals of Eisenstein series ,
Jeffrey C. Lagarias and Masatoshi Suzuki
J. Number Theory 118 (2006), 98--122.
preprint on arXiv
[arxiv.org/abs/math/0412039].
-
The 3x+1 semigroup ,
David Applegate and Jeffrey C. Lagarias
J. Number Theory, 117 (2006), 146--159. >
preprint
[PostScript]
[Pdf]
preprint on arXiv
[arxiv.org/abs/math/0411140].
-
Wild and Wooley numbers ,
Jeffrey C. Lagarias
Amer. Math. Monthly 113 (2006), 97--108. >
preprint
[PostScript]
[Pdf]
preprint on arXiv
[arxiv.org/abs/math/0411141].
-
Zero spacing distributions for differenced L-functions
,
J. C. Lagarias,
Acta Arithmetica 120 (2005), No. 2, 159--184. >
preprint on arXiv
[arxiv.org/abs/math/0601653]
-
A note on absolute derivations and zeta functions ,
Jeffrey C. Lagarias,
pp. 279--285 in:
Number Fields and Function Fields--Two Parallel Worlds
(G. van der Geer, B. Moonen, R. Schoof, Eds.),
Birkhauser: Boston 2005. >
preprint on arXiv
[arxiv.org/abs/math/0404350] .
-
Approximate Squaring ,
J. C. Lagarias and N. J. A. Sloane,
Experimental Math. 13 (2004), 113--128 >.
preprint on arXiv .
[arxiv.org/abs/math/0309389]
-
Area inequalities for embedded disks spanning unknotted curves ,
J. Hass, J. C. Lagarias and W. P. Thurston,
J. Diff. Geom. 66 (2004), 495--525 >.
preprint on arXiv .
[arxiv.org/abs/math/0306313]
-
Apollonian Packings: Number Theory ,
R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks, and C. H. Yan ,
J. Number Theory
100 (2003), 1--45. >.
[PostScript]
[Pdf]
preprint on arXiv
[arxiv.org/abs/math/0009113]
-
Apollonian Circle Packing: Geometry and Group Theory,
I. The Apollonian group ,
R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. H. Yan ,
Discrete & Computational Geometry 34 (2005), 547--585 >.
preprint on arXiv .
[arxiv.org/abs/math/0010298]
-
Apollonian Circle Packing: Geometry and Group Theory,
II. Super-Apollonian group and Integral Packings ,
R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. H. Yan ,
Discrete & Computational Geometry 35 (2006), 1--36>.
preprint on arXiv .
[arxiv.org/abs/math/0010302]
-
Apollonian Circle Packing: Geometry and Group Theory,
III. Higher dimensions ,
R. L. Graham, J. C. Lagarias, C. L. Mallows, A. Wilks and C. H. Yan ,
Discrete & Computational Geometry 35 (2006), 37--72 >.
preprint on arXiv
[arxiv.org/abs/math/0010324]
-
Dynamics of a family of piecewise-linear area-preserving plane maps
I. Rational rotation numbers ,
J. C. Lagarias and E. Rains,
J. Difference Eqns. Appl. 11 (2005), No. 12, 1089--1108>.
preprint on arXiv
[arxiv.org/abs/math/0301294]
-
Dynamics of a family of piecewise-linear area-preserving plane maps
II. Invariant circles ,
J. C. Lagarias and E. Rains,
J. Difference Eqns. Appl. 11 (2005), No. 13, 1137--1163>.
preprint on arXiv
[arxiv.org/abs/math/0303007]
-
Dynamics of a family of piecewise-linear area-preserving plane maps
III. Cantor set spectra ,
J. C. Lagarias and E. Rains,
J. Difference Eqns. Appl. 11 (2005), No. 14, 1205--1224>.
preprint on arXiv
[arxiv.org/abs/math/0505103]
-
Beyond the Descartes circle theorem ,
J. C. Lagarias, C. L. Mallows and A. Wilks,
Amer. Math. Monthly ,
109 (2002), 338--361>.
[PostScript]
[Pdf]
- Complements to Li's criterion for the Riemann hypothesis ,
Enrico Bombieri and Jeffrey C. Lagarias,
J. Number Theory , 77 (1999), 274--287 >.
[PostScript]
- Orthogonal bases of exponentials for the n-cube ,
Jeffrey C. Lagarias, James A. Reeds and Yang Wang,
Duke Math. J. ,
103 (2000), 25--37 . >.
[PostScript]
-
On the normality of arithmetical constants ,
J. C. Lagarias,
Experimental Math. ,
10 (2001), 355--368 >.
[PostScript]
- The Computational Complexity of Knot and Link Problems.
(Preliminary Version)
Joel Hass, Jeffrey C. Lagarias and Nicholas Pippenger,
Proc. 38th Annual Symposium on Foundations of Computer Science ,
IEEE Press 1997, pp. 172-181.
[PostScript]
- The number of Reidemeister moves needed for unknotting,
Joel Hass and Jeffrey C. Lagarias
J. Amer. Math. Soc.
14 (2001), 399--428. >.
[PostScript]
- Saddle point and Hamiltonian structure in excitatory-inhibitory
networks ,
H. S. Seung, T. J. Richardson, J. C. Lagarias and J. J. Hopfield,
Proc. Neural Information Processing Systems '97 ,
[PostScript]
-
Bounds for local density of sphere packings
and the Kepler conjecture ,
J. C. Lagarias,
Discrete & Computational Geometry 27 (2002), 165--193. >
[PostScript]
- Geometric Models for Quasicrystals I. Delone Sets of Finite
Type ,
Jeffrey C. Lagarias,
Discrete & Computational Geometry 2 (1999), 161--191.
[PostScript]
- Geometric Models for Quasicrystals II. Local Rules Under
Isometries ,
Jeffrey C. Lagarias,
Discrete & Computational Geometry , 21 (1999), 345--372.
[PostScript]
- Bounds for the Number of DC Operating Points of Transistor
Circuits ,
Jeffrey C. Lagarias and Ljiljana Trajkovic,
IEEE Transactions in Circuits and Systems 46 (1999), No. 10,
1216--1221 >.
[Postscript]
- Threading Homotopies and DC Operating Points of Nonlinear
Circuits ,
Ross Geogheghan, Jeffrey C. Lagarias and Robert C. Melville,
SIAM J. Optimization 9 (1998), NO. 1, 112--147 >.
[PostScript]
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