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

Alexander I Efimov

doi:10.1515/FORUM.2008.019

Published by De Gruyter May 4, 2008

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

Alexander I Efimov

From the journal Forum Mathematicum

https://doi.org/10.1515/FORUM.2008.019

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Abstract

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

2000 Mathematics Subject Classification: 11B68, 11B83.

(Communicated by Michael Brin)

Received: 2006-07-31

Revised: 2006-10-20

Published Online: 2008-05-04

Published in Print: 2008-03-01

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

Abstract

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