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math.NTSep 29, 2011
26
citations (OpenAlex)
authors
  • Amir Mohammadi
  • Alireza Salehi Golsefidy
institutions
  • Princeton University
  • University of Chicago
arXiv abstractPDF
paper

S-Arithmetic Khintchine-Type Theorem

arXiv:1109.6430 · doi:10.1007/s00039-009-0029-z

Abstract

In this article we prove a convergence S-arithmetic Khintchine-type theorem for product of non-degenerate v-adic manifolds, where one of them is the Archimedian place.

Cited by in corpus (3)

  • An Inhomogeneous Transference Principle and Diophantine Approximation
  • Quantitative non-divergence and Diophantine approximation on manifolds
  • Inhomogeneous theory of dual Diophantine approximation on manifolds
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