[图书][B] Discriminant equations in Diophantine number theory
JH Evertse, K Győry - 2017 - books.google.com
Discriminant equations are an important class of Diophantine equations with close ties to
algebraic number theory, Diophantine approximation and Diophantine geometry. This book …
algebraic number theory, Diophantine approximation and Diophantine geometry. This book …
Self-affine -attractors and tiles
TI Zaitseva, VY Protasov - Matematicheskii Sbornik, 2022 - mathnet.ru
TI Zaitseva, V. Yu. Protasov, “Self-affine $2$-attractors and tiles”, Mat. Sb., 213:6 (2022), 71–110;
Sb. Math., 213:6 (2022), 794–830 Sbornik: Mathematics RUS ENG JOURNALS PEOPLE …
Sb. Math., 213:6 (2022), 794–830 Sbornik: Mathematics RUS ENG JOURNALS PEOPLE …
Самоподобные 2-аттракторы и тайлы
ТИ Зайцева, ВЮ Протасов - Математический сборник, 2022 - mathnet.ru
Самоподобные аттракторы в Rd–компактные множества, определенные
целочисленной (d× d)-матрицей M и множеством целых векторов (“цифр”) D={d0 …
целочисленной (d× d)-матрицей M и множеством целых векторов (“цифр”) D={d0 …
Representations for complex numbers with integer digits
P Surer - Research in Number Theory, 2020 - Springer
We present the zeta-expansion as a complex version of the well-known beta-expansion. It
allows us to expand complex numbers with respect to a complex base by using integer …
allows us to expand complex numbers with respect to a complex base by using integer …
Distribution results on polynomials with bounded roots
P Kirschenhofer, J Thuswaldner - Monatshefte für Mathematik, 2018 - Springer
For d ∈ N d∈ N the well-known Schur–Cohn region E _d E d consists of all d-dimensional
vectors (a_1, ..., a_d) ∈ R^ d (a 1,…, ad)∈ R d corresponding to monic polynomials X^ d+ …
vectors (a_1, ..., a_d) ∈ R^ d (a 1,…, ad)∈ R d corresponding to monic polynomials X^ d+ …
Self-affine 2-attractors and tiles
VY Protasov, T Zaitseva - arXiv preprint arXiv:2007.11279, 2020 - arxiv.org
We study two-digit attractors (2-attractors) in $\mathbb {R}^ d $ which are self-affine compact
sets defined by two contraction affine mappings with the same linear part. They are widely …
sets defined by two contraction affine mappings with the same linear part. They are widely …
From positional representation of numbers to positional representation of vectors
II Farkas, E Pelantová, M Svobodová - arXiv preprint arXiv:2303.10027, 2023 - arxiv.org
To represent real $ m $-dimensional vectors, a positional vector system given by a non-
singular matrix $ M\in\mathbb {Z}^{m\times m} $ and a digit set $\mathcal {D}\subset\mathbb …
singular matrix $ M\in\mathbb {Z}^{m\times m} $ and a digit set $\mathcal {D}\subset\mathbb …
A Number System with Base
L Rossi, JM Thuswaldner - The American mathematical monthly, 2022 - Taylor & Francis
In the present article we explore a way to represent numbers with respect to the base− 3 2
using the set of digits {0, 1, 2}. Although this number system shares several properties with …
using the set of digits {0, 1, 2}. Although this number system shares several properties with …
A remark on Penney's algorithm
H Brunotte - arXiv preprint arXiv:2309.15481, 2023 - arxiv.org
arXiv:2309.15481v1 [math.NT] 27 Sep 2023 Page 1 A REMARK ON PENNEY’S ALGORITHM
HORST BRUNOTTE Abstract. Based on the well-known algorithm of W. Penney [7] we …
HORST BRUNOTTE Abstract. Based on the well-known algorithm of W. Penney [7] we …
[PDF][PDF] Numeration systems: automata, combinatorics, dynamical systems, number theory
W Steiner - Université de Paris, 2021 - irif.fr
The main object of this thesis are numeration systems, sometimes also called number
systems or numeral systems, which are different ways of representing numbers using (finite …
systems or numeral systems, which are different ways of representing numbers using (finite …