independence of -adic valuations
We prove the following particular case:
Let be an arbitrary prime, and let be an arbitrary positive real number. Notice that injects into , the -adic integers. For any , we also write for its image in , and it can be written as a sequence with . Let be such that (and thus for any other such that we have ).
Therefore we can find an element of (and thus a lift of to ) such that for all . Hence:
|Title||independence of -adic valuations|
|Date of creation||2013-03-22 14:12:14|
|Last modified on||2013-03-22 14:12:14|
|Last modified by||alozano (2414)|