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Solving low density subset sum problems

- J. Lagarias, A. Odlyzko
- Computer Science, Mathematics
- 24th Annual Symposium on Foundations of Computer…
- 1983

TLDR

Sets of Matrices All Infinite Products of Which Converge

- I. Daubechies, J. Lagarias
- Mathematics
- 15 January 1992

An infinite product IIT= lMi of matrices converges (on the right) if limi __ M, . . . Mi exists. A set Z = (Ai: i > l} of n X n matrices is called an RCP set (rightconvergent product set) if all… Expand

The finiteness conjecture for the generalized spectral radius of a set of matrices

- J. Lagarias, Y. Wang
- Mathematics
- 1995

The generalized spectral radius\g9(∑) of a set ∑ of n × n matrices is \g9(∑) = lim supk→∞\g9k(∑)1k, where \g9k(∑) = sup{ϱ(A1A2…Ak): each Ai ∈ ∑}. The joint spectral radius\g9(∑) is \g9(∑) = lim… Expand

Two-scale difference equations II. local regularity, infinite products of matrices and fractals

- I. Daubechies, J. Lagarias
- Mathematics
- 1 July 1992

This paper studies solutions of the functional equation \[ f(x) = \sum_{n = 0}^N {c_n f(kx - n),} \] where $k \geqq 2$ is an integer, and $\sum\nolimits_{n = 0}^N {c_n = k} $. Part I showed that… Expand

Two-scale difference equations I: existence and global regularity of solutions

- I. Daubechies, J. Lagarias
- Mathematics
- 1 September 1991

A two-scale difference equation is a functional equation of the form $f(x) = \sum _{n = 0}^N c_n f(\alpha x - \beta _n )$, where $\alpha > 1$ and $\beta _0 < \beta _1 <\cdots <\beta _n $, are real… Expand

Tiling with polyominoes and combinatorial group theory

- J. Conway, J. Lagarias
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 3 March 1990

TLDR

Self-affine tiles in ℝn

- J. Lagarias, Y. Wang
- Mathematics
- 15 July 1996

Abstract A self-affine tile in R n is a set T of positive measure with A ( T )=∪ d ∈ D ( T + d ), where A is an expanding n × n real matrix with |det( A )|= m an integer, and D ={ d , d 2 , ..., d… Expand

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

- J. Lagarias, H. Montgomery, A. Odlyzko
- Mathematics
- 1 October 1979

as x --, oc. In [7] two versions of the Chebotarev density theorem were proved, one unconditional and the other on the assumption of the Generalized Riemann Hypothesis (GRH), each of which expressed… Expand

Complements to Li's Criterion for the Riemann Hypothesis☆

- E. Bombieri, J. Lagarias
- Mathematics
- 1 August 1999

Abstract In a recent paper Xian-Jin Li showed that the Riemann Hypothesis holds if and only ifλn=∑ρ [1−(1−1/ρ)n] hasλn>0 forn=1, 2, 3, … whereρruns over the complex zeros of the Riemann zeta… Expand

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