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math.NT2011
Affine Sieve
Alireza Salehi Golsefidy, Peter Sarnak
We establish the main saturation conjecture in [BGS10] connected with executing a Brun sieve in the setting of an orbit of a group of affine linear transformations. This is carried…
math.NT2011★ 26 cited
S-Arithmetic Khintchine-Type Theorem
Amir Mohammadi, Alireza Salehi Golsefidy
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.
math.NT2011
Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds
Amir Mohammadi, Alireza Salehi Golsefidy
S-arithmetic Khintchine-type theorem for products of non-degenerate analytic p-adic manifolds is proved for the convergence case. In the p-adic case the divergence part is also obt…