Simultaneousp-adic zeros of quadratic forms
โ Scribed by Wolfgang M. Schmidt
- Publisher
- Springer Vienna
- Year
- 1980
- Tongue
- English
- Weight
- 854 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we give an explicit from formula for the local density number of representing a two by two 2-integral matrix T by a quadratic 2-integral lattice L over Z 2 : The non-dyadic case was dealt in a previous paper. The special case when L is a (maximal) lattice in the space of trace zero el
In this paper it is proved that the pair f =a 1 x k 1 + } } } +a n x k n , g=b 1 x k 1 + } } } + b n x k n , with k= p { ( p&1) k 0 and (k 0 , p)=1, has a common p-adic zero provided n 2k 2+w( p, {) , where w( p, {)=1ร(log p+(1ร{) log( p&1)). It is also proved that if n 2k 2 , then the pair f, g has