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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

4 votes

Why are smooth numbers called "smooth"?

As I far as I recall the story (as related to me by Len Adleman), Len had originally come up the notion of smooth numbers and needed an appropriate name for the definition. Ron suggested calling them …
Joe Bebel's user avatar
  • 539
4 votes
1 answer
1k views

Iwasawa logarithm and analytic continuation

I am reading Number Theory vol. 1 by Henri Cohen (among other things) and I am curious about the Iwasawa logarithm. Let $\mathbb{C}_p$ be the completion of the algebraic closure of $\mathbb{Q}_p$. Le …
Joe Bebel's user avatar
  • 539