Pisot–Vijayaraghavan number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Pisot–Vijayaraghavan number" in English language version.

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8doi.org

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3zbmath.org

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2arxiv.org

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1springer.com

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1numdam.org

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1ams.org

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1nih.gov

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ams.org

mathscinet.ams.org

Dufresnoy, J.; Pisot, Ch. (1955), "Etude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques", Annales Scientifiques de l'École Normale Supérieure (in French), 72: 69–92, doi:10.24033/asens.1030, MR 0072902. The smallest of these numbers are listed in numerical order on p. 92.

aps.org

journals.aps.org

Ö. D. Gürcan; Shaokang Xu; P. Morel (2019). "Spiral chain models of two-dimensional turbulence". Physical Review E. 100 (4): 043113. arXiv:1903.09494. doi:10.1103/PhysRevE.100.043113. PMID 31770954.

arxiv.org

Schleischitz, Johannes (2014-01-29), On the rate of accumulation of $αζ^{n}$ mod 1 to 0, p. 4, doi:10.48550/arXiv.1401.7588, retrieved 2025-01-18
Ö. D. Gürcan; Shaokang Xu; P. Morel (2019). "Spiral chain models of two-dimensional turbulence". Physical Review E. 100 (4): 043113. arXiv:1903.09494. doi:10.1103/PhysRevE.100.043113. PMID 31770954.

doi.org

Schleischitz, Johannes (2014-01-29), On the rate of accumulation of $αζ^{n}$ mod 1 to 0, p. 4, doi:10.48550/arXiv.1401.7588, retrieved 2025-01-18
Bertin, M. J.; Decomps-Guilloux, A.; Grandet-Hugot, M.; Pathiaux-Delefosse, M.; Schreiber, J. P. (1992). "Pisot and Salem Numbers". SpringerLink: 95. doi:10.1007/978-3-0348-8632-1.
Salem, R. (1944). "A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan". Duke Math. J. 11: 103–108. doi:10.1215/s0012-7094-44-01111-7. Zbl 0063.06657.
Siegel, Carl Ludwig (1944). "Algebraic integers whose conjugates lie in the unit circle". Duke Math. J. 11 (3): 597–602. doi:10.1215/S0012-7094-44-01152-X. Zbl 0063.07005.
Boyd, David W.; Mauldin, R. Daniel (1996). "The Order Type of the Set of Pisot Numbers". Topology and Its Applications. 69 (2): 115–120. doi:10.1016/0166-8641(95)00029-1.
Salem, R. (1945). "Power series with integral coefficients". Duke Math. J. 12: 153–172. doi:10.1215/s0012-7094-45-01213-0. Zbl 0060.21601.
Dufresnoy, J.; Pisot, Ch. (1955), "Etude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques", Annales Scientifiques de l'École Normale Supérieure (in French), 72: 69–92, doi:10.24033/asens.1030, MR 0072902. The smallest of these numbers are listed in numerical order on p. 92.
Ö. D. Gürcan; Shaokang Xu; P. Morel (2019). "Spiral chain models of two-dimensional turbulence". Physical Review E. 100 (4): 043113. arXiv:1903.09494. doi:10.1103/PhysRevE.100.043113. PMID 31770954.

nih.gov

pubmed.ncbi.nlm.nih.gov

Ö. D. Gürcan; Shaokang Xu; P. Morel (2019). "Spiral chain models of two-dimensional turbulence". Physical Review E. 100 (4): 043113. arXiv:1903.09494. doi:10.1103/PhysRevE.100.043113. PMID 31770954.

numdam.org

Dufresnoy, J.; Pisot, Ch. (1955), "Etude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques", Annales Scientifiques de l'École Normale Supérieure (in French), 72: 69–92, doi:10.24033/asens.1030, MR 0072902. The smallest of these numbers are listed in numerical order on p. 92.

springer.com

link.springer.com

Bertin, M. J.; Decomps-Guilloux, A.; Grandet-Hugot, M.; Pathiaux-Delefosse, M.; Schreiber, J. P. (1992). "Pisot and Salem Numbers". SpringerLink: 95. doi:10.1007/978-3-0348-8632-1.

zbmath.org

Salem, R. (1944). "A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan". Duke Math. J. 11: 103–108. doi:10.1215/s0012-7094-44-01111-7. Zbl 0063.06657.
Siegel, Carl Ludwig (1944). "Algebraic integers whose conjugates lie in the unit circle". Duke Math. J. 11 (3): 597–602. doi:10.1215/S0012-7094-44-01152-X. Zbl 0063.07005.
Salem, R. (1945). "Power series with integral coefficients". Duke Math. J. 12: 153–172. doi:10.1215/s0012-7094-45-01213-0. Zbl 0060.21601.