Urs, Ursim, and Non-Urs for p-adic Functions and Polynomials: Volume 75, Number 1 (1999), pages 133–144

✍ Scribed by Alain Escassut; Labib Haddad; Robert Vidal

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 77 KB
• Volume: 80
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1999.2466

✦ Synopsis

Two abstraction gaps appeared, not in the statement of the theorems, which are correct, but in the statement of Lemma J (p. 138) and in the proof of Theorem 1 (pp. 138 141).

First, (due to an automatic correction in references),

Second, a factor 2 is missing before the expression

, both in Lemma J and in relation ( 13) in the proof of Theorem 1.

These corrections produce no change in the final conclusion of Theorem 1. Thus, Lemma J, proven in [1], should be:

Lemma J. Let F, G # M(K) be non-constant and have the same poles. Let c 1 , ..., c q be pairwise distinct elements of L with q 2 and let S=[c 1 , ..., c q ]. We assume that | 0 (F)=| 0 (G)=| 0 (F$