Record link: 
http://hdl.handle.net/20.500.12708/210054
-
Title: 
On an example by Poincaré and sums with Kronecker sequence
en
Citation: 
Moshchevitin, N. (2025). On an example by Poincaré and sums with Kronecker sequence. MONATSHEFTE FUR MATHEMATIK, 206, 195–216. https://doi.org/10.1007/s00605-024-02034-1
-
Publisher DOI: 
10.1007/s00605-024-02034-1
-
Publication Type: 
Article - Original Research Article
en
Language: 
English
-
Authors: 
Moshchevitin, Nikolai 
-
Organisational Unit: 
E104-05 - Forschungsbereich Kombinatorik und Algorithmen 
-
Journal: 
MONATSHEFTE FUR MATHEMATIK 
-
ISSN: 
0026-9255
-
Date (published): 
Jan-2025
-
Number of Pages: 
22
-
Publisher: 
SPRINGER WIEN
-
Peer reviewed: 
Yes
-
Keywords: 
11K31; 42B99; Diophantine Approximation; Diophantine exponents; Kronecker sequence; Quasi-periodic functions
en
Abstract: 
This paper is motivated by recent papers by L. Colzani and A. Kochergin. First of all we discuss an example by Poincaré related to sums of the type ∑k=0t-1f(αk+x) where f is a continuous function and α is an irrational number. Then we deal with its generalisations related to multidimensional Kronecker sequence.
en
Project title: 
Diophant. Approximation, Folgen und Analyt. Zahlentheorie: I 5554 (FWF - Österr. Wissenschaftsfonds) 
-
Link (external): 
https://link.springer.com/article/10.1007/s00605-024-02034-1
-
Research Areas: 
Mathematical and Algorithmic Foundations: 100%
-
Science Branch: 
1020 - Informatik: 5%
1010 - Mathematik: 95%
-
Appears in Collections:
Article

Show full item record

Page view(s)

42
checked on Jan 29, 2025

Download(s)

2
checked on Jan 29, 2025

Google ScholarTM

Check