RETRACTED: Carlitz–Wan conjecture for permutation polynomials and Weil bound for curves over finite fields

This article has been retracted: please see Elsevier Policy on Article Withdrawal (http://www.elsevier.com/locate/withdrawalpolicy).The present article has been retracted at the request of Gary L. Mullen, Editor-in-Chief and Rudi Lidl, Associate Handling Editor. This article does not cite Ref. [1] [Yves Aubry, Marc Perret, A Weil theorem for singular curves, in: Arithmetic, Geometry, and Coding Theory, Luminy 1993, de Gruyter, Berlin, 1996, pp. 1–7] even though the corresponding author of the present article has previously written papers which not only cite Ref. [1] but also explain that Ref. [1] proved Lemma 2.4 of this article. This makes it especially surprising that the authors of this article now claim that their Lemma 2.4 is a new result.The editors note that Lemma 2.4 of this article also occurs in Leep–Yeomans (1994) and Fried–Jarden (2008). Two papers by the corresponding author of this article which explain what was done in Ref. [1] are Ghorpade–Lachaud (2002a, 2002b).Ref. [1]: Yves Aubry, Marc Perret, A Weil theorem for singular curves, in: Arithmetic, Geometry, and Coding Theory, Luminy 1993, de Gruyter, Berlin, 1996, pp. 1–7.