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Results tagged with equidistribution
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user 26522
8
votes
1
answer
326
views
Angular distribution of zero sets of sparse polynomials
Consider a sequence of complex polynomials $f \in \mathbb{C}[z]$, $f(0) \neq 0$, that are composed of a negligible fraction $o(\deg{f})$ of monomials. Are the zeros of such polynomials necessarily equ …
- 13.8k
11
votes
Accepted
Equidistribution of CM points in the principal genus
This is known, and follows from Theorem 2 in Harcos and Michel's paper The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points. … (Much as in Michel's earlier theorem from the first paper of the same title, which was about a $p$-adic equidistribution of incomplete Galois orbits of singular moduli supersingular at $p$.) …
- 13.8k
10
votes
2
answers
362
views
Refined equidistribution for the periodic trajectories of Anosov flows?
This is a theorem of a deep arithmetic significance, which is powered by Siegel's ineffective theorem (but is semi-effective in the sense that it gives an effective equidistribution if one restricts to … I would be interested in any work that considers a refinement of the equidistribution result to a function $c(t) \to 0$ as $t \to \infty$. …
- 13.8k