๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On Algebraic Numbers of Small Height: Linear Forms in One Logarithm

โœ Scribed by M. Mignotte; M. Waldschmidt


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
522 KB
Volume
47
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the number of linear forms in logarit
โœ Youness Lamzouri ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

Let n be a positive integer. In this paper we estimate the size of the set of linear forms b 1 log a 1 + b 2 log a 2 + โ€ข โ€ข โ€ข + b n log a n , where |b i | B i and 1 a i A i are integers, as A i , B i โ†’ โˆž.

Algebraic numbers of small Weil's height
โœ Francesco Amoroso; Filippo A.E. Nuccio ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 163 KB

Let S be the union of all CM-fields and S 0 be the set of non-zero algebraic numbers of S which are not roots of unity. We show that in S 0 Weil's height cannot be bounded from below by an absolute constant.

On consecutive numbers of the same heigh
โœ Guo-Gang Gao ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 404 KB

Gao, G.-G., On consecutive numbers of the same height in the Collatz problem, Discrete Mathematics 112 (1993) 261-267. The Collatz function C(n) is defined to take odd numbers n to 3n + 1 and even numbers n to n/2. This note presents computational results on consecutive numbers that have the same h

On the Distribution of Integer Ideals in
โœ Werner Georg ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 585 KB

fields, the problem is essentially a planar lattice point problem (cf. ZAGIER [17]). To this, the deep results of HUXLEY [3], [4] can be applied to get For cubic fields, W. MULLER [12] proved that ## 43 - (h the class number), using a deep exponential sum technique due to KOLESNIK [7]. every n