P. Habegger

activity

20112026

most citedSmall Height and Infinite Non-Abelian Extensions

35 citations · 93 across the 19 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.NT2016

The Norm of Gaussian Periods

P. Habegger

Gaussian periods are cyclotomic integers with a long history in number theory and connections to problems in combinatorics. We investigate the asymptotic behavior of the absolute n…

math.NT2016★ 3 cited

Diophantine Approximations on Definable Sets

P. Habegger

Consider the vanishing locus of a real analytic function on $R^{n}$ restricted to $[0, 1]^{n}$ . We bound the number of rational points of bounded height that approximate this s…

math.NT2016

Quasi-equivalence of Heights and Runge's Theorem

P. Habegger

Let $P$ be a polynomial that depends on two variables $X$ and $Y$ and has algebraic coefficients. If $x$ and $y$ are algebraic numbers with $P (x, y) = 0$ , then by work of Néron $h(x)/…