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Results tagged with p-adic-analysis
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user 2081
p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers.
5
votes
When does a p-adic function have a Mahler expansion?
You can look up the nice paper by Manjul Bhargava and Kiran Kedlaya titled "Continuous functions on compact sets of local fields". The results in this paper are weaker than the papers proposed by othe …
- 995
8
votes
2
answers
1k
views
P-adic representations
Hi,
I am reading about p-adic representations from Fontaine's book which can be found at http://staff.ustc.edu.cn/~yiouyang/research.html. On page 145
where they prove Proposition 5.24 which is esse …
- 995
1
vote
2
answers
1k
views
Functional equations relating to p-adic L-functions
Let f be a modular form of weight k for $\Gamma_0(N)$. Let us assume that $p\not\vert$N. Then we can construct 2 p-adic L-functions corresponding to the 2 roots $\alpha$ and $\beta$ of the equation $x …
- 995