On the critical pair theory in ℤ/pℤ
Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
Acta Arithmetica
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Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
Acta Arithmetica
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We construct a polynomial f:ℂ² → ℂ of degree 4k+2 with no critical points in ℂ² and with 2k critical values at infinity.
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* Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993). ** Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993). The perturbation of critical values for continuous functionals is studied. An application to eigenvalue problems for variational inequalities is provided.