On Catalan's conjecture
β Scribed by K Inkeri
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 500 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In 1983 Kleitman and Winston conjectured that the largest coefficient in an n th q-Catalan number is of order O(4 n Γn 3Γ2 ). Assuming its truth, they proved that the total number of n-tournament score sequences is O(4 n Γn 5Γ2 ), thus matching their own lower bound. Our purpose is to confirm the co
Kummer conjectured the asymptotic behavior of the first factor of the class number of a cyclotomic field. If we only ask for upper and lower bounds of the order of growth predicted by Kummer, then this modified Kummer conjecture is true for almost all primes.
This paper gives an improved lower bound on the degrees d such that for general points p 1 p n β P 2 and m > 0 there is a plane curve of degree d vanishing at each p i with multiplicity at least m.
Ε½ . Γ < Let G be a finite group and N G s n g N G has a conjugacy class C, such < < 4 that C s n . Professor J. G. Thompson has conjectured that ''If G be a finite Ε½ . Ε½ . group with Z G s 1 and M a nonabelian simple group satisfying that N G s Ε½ . N M , then G ( M.'' We have proved that if M is a s