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- W2912383737 abstract "We compute higher moments of the Siegel--Veech transform over quotients of $SL(2,mathbb{R})$ by the Hecke triangle groups. After fixing a normalization of the Haar measure on $SL(2,mathbb{R})$ we use geometric results and linear algebra to create explicit integration formulas which give information about densities of $k$-tuples of vectors in discrete subsets of $mathbb{R}^2$ which arise as orbits of Hecke triangle groups. This generalizes work of W.~Schmidt on the variance of the Siegel transform over $SL(2,mathbb{R})/SL(2,mathbb{Z})$." @default.
- W2912383737 created "2019-02-21" @default.
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- W2912383737 date "2019-01-29" @default.
- W2912383737 modified "2023-09-27" @default.
- W2912383737 title "A higher moment formula for the Siegel--Veech transform over quotients by Hecke triangle groups" @default.
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