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Forum Mathematicum

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Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

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Volume 20, Issue 2 (Mar 2008)

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The asymptotics for the number of real roots of the Bernoulli polynomials

Alexander I Efimov
  • Alexander I. Efimov, Faculty of Mechanics and Mathematics of Moscow State University; Independent University of Moscow; Moscow, Russia; zip code: 119331, Krupskaya street, dom 4, korp. 3, kv. 90.
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Published Online: 2008-05-04 | DOI: https://doi.org/10.1515/FORUM.2008.019

Abstract

We give a new short clear proof of the asymptotics for the number cn of real roots of the Bernoulli polynomials Bn (x), as well as for the maximal root yn :

2000 Mathematics Subject Classification: 11B68, 11B83.

About the article


Received: 2006-07-31

Revised: 2006-10-20

Published Online: 2008-05-04

Published in Print: 2008-03-01



Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/FORUM.2008.019. Export Citation

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[1]
R. Edwards and D.J. Leeming
Journal of Approximation Theory, 2012, Volume 164, Number 5, Page 754

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