[图书][B] Computational excursions in analysis and number theory
PB Borwein - 2002 - Springer
This book is designed for a topics course in computational number theory. It is based around
a number of difficult old problems that live at the interface of analysis and number theory …
a number of difficult old problems that live at the interface of analysis and number theory …
Unique expansions of real numbers
M de Vries, V Komornik - Advances in Mathematics, 2009 - Elsevier
It was discovered some years ago that there exist non-integer real numbers q> 1 for which
only one sequence (ci) of integers ci∈[0, q) satisfies the equality∑ i= 1∞ ciq− i= 1. The set …
only one sequence (ci) of integers ci∈[0, q) satisfies the equality∑ i= 1∞ ciq− i= 1. The set …
[PDF][PDF] Survey article: Seventy years of salem numbers
C Smyth - arXiv preprint arXiv:1408.0195, 2014 - arxiv.org
In this article I state and prove some basic results about Salem numbers, and then survey
some of the literature about them. My intention is to complement other general treatises on …
some of the literature about them. My intention is to complement other general treatises on …
[图书][B] Comparaison automatisée d'invariants en théorie des graphes
M Aouchiche - 2006 - publications.polymtl.ca
DÉPARTEMENT DE MATHÉMATIQUES ET DE GÉNIE INDUSTRIEI, Page 1 UNIVERSITÉ DE
MONTRÉAL COMPARAISON AUTOMATISÉE D'INVARIANTS EN THÉORIE DES GRAPHES …
MONTRÉAL COMPARAISON AUTOMATISÉE D'INVARIANTS EN THÉORIE DES GRAPHES …
Golden gaskets: variations on the Sierpiński sieve
D Broomhead, J Montaldi, N Sidorov - Nonlinearity, 2004 - iopscience.iop.org
Golden gaskets: variations on the Sierpiński sieve Page 1 Nonlinearity Golden gaskets:
variations on the Sierpiński sieve To cite this article: Dave Broomhead et al 2004 Nonlinearity 17 …
variations on the Sierpiński sieve To cite this article: Dave Broomhead et al 2004 Nonlinearity 17 …
Discrete spectra and Pisot numbers
S Akiyama, V Komornik - Journal of number theory, 2013 - Elsevier
By the m-spectrum of a real number q> 1 we mean the set Ym (q) of values p (q) where p
runs over the height m polynomials with integer coefficients. These sets have been …
runs over the height m polynomials with integer coefficients. These sets have been …
On the topology of polynomials with bounded integer coefficients.
DJ Feng - Journal of the European Mathematical Society (EMS …, 2016 - ems.press
It is well known that Ym (q) is not dense in R in the following two cases: when q is a Pisot
number (Garsia [12]) or q≥ m+ 1 (Erdos and Komornik [9]). Recall that a Pisot number is an …
number (Garsia [12]) or q≥ m+ 1 (Erdos and Komornik [9]). Recall that a Pisot number is an …
On the Gibbs properties of Bernoulli convolutions related to β-numeration in multinacci bases
E Olivier, N Sidorov, A Thomas - Monatshefte für Mathematik, 2005 - Springer
We consider infinitely convolved Bernoulli measures (or simply Bernoulli convolutions)
related to the β-numeration. A matrix decomposition of these measures is obtained in the …
related to the β-numeration. A matrix decomposition of these measures is obtained in the …
Beta-expansions of Pisot and Salem numbers
KG Hare - Computer Algebra 2006: Latest Advances in Symbolic …, 2007 - World Scientific
This paper is based on a talk given at WWCA (Waterloo Workshop on Computer Algebra)
held at Wilfird Laurier University, April 2006. This paper gives a history of beta-expansions …
held at Wilfird Laurier University, April 2006. This paper gives a history of beta-expansions …
Bernoulli convolutions associated with certain non-Pisot numbers
DJ Feng, Y Wang - Advances in Mathematics, 2004 - Elsevier
The Bernoulli convolution νλ measure is shown to be absolutely continuous with L2 density
for almost all 1 2< λ< 1, and singular if λ− 1 is a Pisot number. It is an open question whether …
for almost all 1 2< λ< 1, and singular if λ− 1 is a Pisot number. It is an open question whether …