| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Linear equations in variables which lie in a multiplicative group | J.-H. Evertse
; H. P. Schlickewei
; W. M. Schmidt
; | Date: |
30 Sep 2004 | Journal: | Ann. of Math. (2), Vol. 155 (2002), no. 3, 807--836 | Subject: | Number Theory | math.NT | Abstract: | Let K be a field of characteristic 0 and let n be a natural number. Let Gamma be a subgroup of the multiplicative group $(K^ast)^n$ of finite rank r. Given $A_2,...,a_nin K^ast$ write $A(a_1,...,a_n,Gamma)$ for the number of solutions x=(x_1,...,x_n)in Gamma$ of the equation a_1x_1+...+a_nx_n=1$, such that no proper subsum of $a_1x_1+...+a_nx_n$ vanishes. We derive an explicit upper bound for $A(a_1,...,a_n,Gamma)$ which depends only on the dimension n and on the rank r. | Source: | arXiv, math.NT/0409604 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |