✦ LIBER ✦
Products of Many-Variable Polynomials: Pairs That Are Maximal in Bombieri′s Norm
✍ Scribed by B. Beauzamy
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 315 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
We continue the research initiated in Beauzamy et al. (J. Number Theory 36 (1990), 219-245) and Beauzamy et al. (to appear) about products of many-variable polynomials. We investigate the pairs ((P, Q)) which are maximal for products in Bombieri's norm (that is for which ([P Q]) is a large as possible) and prove a stability result: if the product ([P Q]) is close to maximal, then both (P) and (Q) are close to extremal polynomials. 1. 1995 Academic Press, Inc.