𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Golomb's conjecture

✍ Scribed by Maohua Le


Book ID
103506778
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
168 KB
Volume
54
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On Golombβ€²s Self Describing Sequence
✍ Y.F.S. Petermann πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 280 KB

A proof of the oscillation estimate \(E(n)=\Omega_{ \pm}\left(n^{\phi-1-c}\right)\) is given, where \(E(n):=\) \(F(n)-\phi^{2-\phi} n^{\phi-1}\) and \(F\) is the nondecreasing "self describing" sequence \(1,2,2,3,3\), 4. 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9... defined by \(F(1)=1\) a

On S. Chowla's conjecture
✍ C. Levesque; H. Lu πŸ“‚ Article πŸ“… 1996 πŸ› Akadmiai Kiad 🌐 English βš– 331 KB
On Kummer's Conjecture
✍ M.Ram Murty; Yiannis N Petridis πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 120 KB

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.

On Nagata's Conjecture
✍ Brian Harbourne πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 119 KB

This paper gives an improved lower bound on the degrees d such that for general points p 1 p n ∈ P 2 and m > 0 there is a plane curve of degree d vanishing at each p i with multiplicity at least m.