On the real roots of Euler polynomials |
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Authors: | Hubert Delange |
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Institution: | (1) Centre d'Orsay, Université de Paris-Sud, 91405 Orsay, Cedex, France |
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Abstract: | We show how are located the positive roots of the Euler polynomiale
n
of degreen. We give an upper bound and a lower bound for the greatest root. This permits to determine an integerv
(n) such that the number of positive roots ofE
n
is eitherv
(n)
orv
(n)
+2. We also study the behaviour of ther-th positive root ofE
n
asn tends to infinity. |
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Keywords: | |
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