Result: The Spectral Set Conjecture and Multiplicative Properties of Roots of Polynomials: The spectral set conjecture and multiplicative properties of roots of polynomials.
Title:
The Spectral Set Conjecture and Multiplicative Properties of Roots of Polynomials: The spectral set conjecture and multiplicative properties of roots of polynomials.
Authors:
Source:
Journal of the London Mathematical Society. 65:661-671
Publication Status:
Preprint
Publisher Information:
Wiley, 2002.
Publication Year:
2002
Subject Terms:
Mathematics - Number Theory, 02 engineering and technology, cyclotomic polynomials, 01 natural sciences, Mathematics - Classical Analysis and ODEs, Conjugate functions, conjugate series, singular integrals, Other combinatorial number theory, Polyhedra and polytopes, regular figures, division of spaces, tiling, Fourier transform, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Fuglede conjecture, 42A99, Hadamard matrices, Number Theory (math.NT), 0101 mathematics
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1469-7750
0024-6107
0024-6107
DOI:
10.1112/s0024610702003149
DOI:
10.48550/arxiv.math/0010169
Access URL:
http://arxiv.org/pdf/math/0010169
http://arxiv.org/abs/math/0010169
https://zbmath.org/1818792
https://doi.org/10.1112/s0024610702003149
https://academic.oup.com/jlms/article-abstract/65/3/661/800982
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/spectral-set-conjecture-and-multiplicative-properties-of-roots-of-polynomials/26F5D684674556248D75173B920AA460
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610702003149
http://arxiv.org/abs/math/0010169
https://zbmath.org/1818792
https://doi.org/10.1112/s0024610702003149
https://academic.oup.com/jlms/article-abstract/65/3/661/800982
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/spectral-set-conjecture-and-multiplicative-properties-of-roots-of-polynomials/26F5D684674556248D75173B920AA460
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610702003149
Rights:
Wiley Online Library User Agreement
arXiv Non-Exclusive Distribution
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....b79a77b2f14b142ff1e16989b124866f
Database:
OpenAIRE
Further Information
Fuglede's conjecture states that a set Ω⊂Rn tiles R by translations if and only if L2(Ω) has an orthogonal basis of exponentials. New partial results are obtained supporting the conjecture in dimension 1.