Cohn's theorem

<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/Geometrical_properties_of_polynomial_roots/YKNYVKcj">Geometrical properties of polynomial roots</a></li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Cohn, A (1922). "Über die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise". Math. Z. 14: 110–148. doi:10.1007/BF01216772. <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>Cohn, A (1922). "Über die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise". Math. Z. 14: 110–148. doi:10.1007/BF01216772. <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>Bonsall, F. F.; Marden, Morris (1952). "Zeros of self-inversive polynomials". Proceedings of the American Mathematical Society. 3 (3): 471–475. doi:10.1090/s0002-9939-1952-0047828-8. ISSN 0002-9939. JSTOR 2031905. <a href="https://www.ams.org/home/page/" target="_blank">https://www.ams.org/home/page/</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
<li id="fn:4"><p>Ancochea, Germán (1953). "Zeros of self-inversive polynomials". Proceedings of the American Mathematical Society. 4 (6): 900–902. doi:10.1090/s0002-9939-1953-0058748-8. ISSN 0002-9939. JSTOR 2031826. <a href="https://www.ams.org/home/page/" target="_blank">https://www.ams.org/home/page/</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li>
<li id="fn:5"><p>Schinzel, A. (2005-03-01). "Self-Inversive Polynomials with All Zeros on the Unit Circle". The Ramanujan Journal. 9 (1–2): 19–23. doi:10.1007/s11139-005-0821-9. ISSN 1382-4090. <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li>
<li id="fn:6"><p>Vieira, R. S. (2017). "On the number of roots of self-inversive polynomials on the complex unit circle". The Ramanujan Journal. 42 (2): 363–369. arXiv:1504.00615. doi:10.1007/s11139-016-9804-2. ISSN 1382-4090. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li>
<li id="fn:7"><p>Marden, Morris (1970). Geometry of polynomials (revised edition). Mathematical Surveys and Monographs (Book 3) United States of America: American Mathematical Society. ISBN 978-0821815038.{{cite book}}:  CS1 maint: location (link) <a href="978-0821815038" target="_blank">978-0821815038</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li>
</ol>

Cohn's theorem open-in-new

Cohn's theorem