The objective of this article is to give an introduction to p-adic analysis along the lines of Tate's thesis, as well as incorporating material of a more recent vintage, for example Weil groups.
Applications of p-adic analysis for bounding periods of subvarieties under etale maps
Most odd degree hyperelliptic curves have only one rational point
Bounding periods of subvarieties of (P^1)^n
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