There are Salem Numbers with Trace –3 and Every Degree At Least 34-Reference-Cited by-同舟云学术

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There are Salem Numbers with Trace –3 and Every Degree At Least 34

Published:2024-04-14 Issue: Volume: Page:1-6
ISSN:1058-6458
Container-title:Experimental Mathematics
language:en
Short-container-title:Experimental Mathematics

Author:

Cherubini Giacomo¹²,Yatsyna Pavlo¹³

Affiliation:

1. Faculty of Mathematics and Physics, Department of Algebra, Charles University, Praha 8, Czech Republic

2. Istituto Nazionale di Alta Matematica “Francesco Severi”, Research Unit Dipartimento di Matematica “Guido Castelnuovo”, Sapienza Università di Roma, Roma, Italy

3. Department of Mathematics and Systems Analysis, Aalto University, Espoo, Finland

Funder

Czech Science Foundation GACR

Charles University

Academy of Finland

MATINE, Ministry of Defence of Finland

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/10586458.2024.2337223

Reference14 articles.

1. Beukers, F., Smyth, C. J. (2002), Cyclotomic Points on Curves. Number Theory for the Millennium I. Natick, MA: A K Peters, pp. 67–85.

2. Salem numbers with minimal trace

3. Cherubini G. Yatsyna P. Ancillary code. Available at: https://github.com/pav10/salem-3.

4. Finding Degree-16 Monic Irreducible Integer Polynomials of Minimal Trace by Optimization Methods

5. A Salem number with degree 34 and trace −3

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