A. Alkiviadis and G. , Reflections on an pair of theorems by Budan and Fourier, University of Cansas 22

D. Bembé, Budan's theorem and virtual roots of real polynomials Preprint, 2009.

A. T. Bharucha-reid and M. Sambandham, Random Polynomials, N.Y, 1986.

J. Bochnack, M. Coste, and M. Roy, Real Algebraic Geometry, 1998.
DOI : 10.1007/978-3-662-03718-8

. Budan-de-boislaurent, Nouvelle méthode pour la résolution deséquationsdeséquations numériques d'un degré quelconque. Paris (1822) Contains in the appendix a proof of Budan's theorem edited by the Académie des, Sciences, 1811.

M. Coste, . Lajous, R. Lombardi, and M. , Generalized Budan???Fourier theorem and virtual roots, Journal of Complexity, vol.21, issue.4, pp.478-486, 2005.
DOI : 10.1016/j.jco.2004.11.003
URL : http://doi.org/10.1016/j.jco.2004.11.003

A. Edelman and E. Kostlan, How many zeros of a random polynomial are real?, Bulletin AMS, vol.32, issue.1, p.137, 1995.

I. Emiris, . Galligo, and E. Tsigaridas, Random polynomials and expected complexity of bissection methods for real solving, Proceedings of the ISSAC'2010 conference, pp.235-242, 2010.

K. Farahmand, Topics in random polynomials Pitman research notes in mathematics series 393, 1998.

. Galligo, A: Intriguing Patterns in the Roots of the Derivatives of some Random Polynomials, 2010.

. Gonzales-vega, H. Lombardi, and M. , Virtual roots of real polynomials, Journal of Pure and Applied Algebra, vol.124, issue.1-3, pp.147-166, 1998.
DOI : 10.1016/S0022-4049(96)00102-8

K. Oldham and J. Spanier, The fractional calculus, 1974.

Q. I. Rahman and G. Schmeisser, Analytic theory of polynomials, 2002.

M. Vincent, Sur la résolution deséquationsdeséquations numéricques, Journal de mathématicques pures et appliquées, vol.44, pp.235-372, 1836.