Some results on the Schiffer conjecture in
β Scribed by Jian Deng
- Book ID
- 116632376
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 181 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A,, be finite sers such that A,@ A, for all i \* j. Let F be an intencctlng family con&ting of sets contained in some A,. i = 1. 2. . . . n. I\_'hvital conjecl urtxl that among the largest irtersecting families. there is always a star. In Ihi\ pi per. we oNam another proof of a result of Schiinheim:
The Sendov conjecture may be stated as: If all zeros of a complex polynomial Ε½ . < < X Ε½ . < < p z lie in z F 1, then there is always a zero of p z in z y a F 1, where a is Ε½ . any zero of p z . We find several easy to apply conditions for which this conjecture is true for polynomials of degree n.