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Results tagged with p-adic-analysis
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user 39304
p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers.
35
votes
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Crux of Dwork's proof of rationality of the zeta function?
There is an excellent book by Neal Koblitz "p-adic numbers, p-adic analysis and zeta-functions" were the Dwork's proof is stated in a very detailed way, including all preliminaries from p-adic analysi …
- 7,377
3
votes
Accepted
Weaker version of Dwork's rationality of zeta function, what is needed to beef up into a com...
Not quite an answer, but a heuristics from the point of view of Weil philosophy about why the rationality mod $p$ is much easier.
Weil reduced the rationality of zeta-function to the existence of a g …
- 7,377