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2 votes
1 answer
462 views

Counting algebraic points of bounded height

Let $K$ be a number field and $X\hookrightarrow\mathbb P^n_K$ be a projective variety of degree $\delta$ (with respect to universal bundle) and dimension $d$. We denote the set $$S(X;D,B)=\{\xi\in X(\...
var's user avatar
  • 403
24 votes
1 answer
4k views

Why is there a $\sqrt{5}$ in Hurwitz's Theorem?

Hurwitz's theorem is an extension of Minkowski's Theorem and deals with rational approximations to irrational numbers. The theorem states: For every irrational number $\alpha$, there are infinitely ...
Halbort's user avatar
  • 1,129
1 vote
1 answer
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are p-limits scales dense in the infinite musical scale of all rational frequencies?

In the wiki section on prime limit tuning, one reads: ...
Mirco A. Mannucci's user avatar