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The Second Moment of the Siegel Transform in the Space of Symplectic Lattices

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Publication:3382629
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DOI10.1093/imrn/rnz027zbMath1479.11119arXiv1802.09645OpenAlexW2963472646MaRDI QIDQ3382629

Dubi Kelmer, Shucheng Yu

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09645

zbMATH Keywords

Eisenstein seriesBorel setsSiegel transformsymplectic latticesprimitive lattice points


Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Lattice points in specified regions (11P21) Mean value and transfer theorems (11H60)


Related Items

Khintchine-type theorems for values of subhomogeneous functions at integer points, Second moment of the light-cone Siegel transform and applications, A dynamical Borel-Cantelli lemma via improvements to Dirichlet's theorem, A central limit theorem for counting functions related to symplectic lattices and bounded sets, Poisson approximation and Weibull asymptotics in the geometry of numbers



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