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math.NT2021
Linnik's problem in fiber bundles over quadratic homogeneous varieties
Michael Bersudsky, Uri Shapira
We compute the statistics of matrices lying on level sets of an integral polynomial defined on , a result that is a variant of the well kno…
math.DS2021
Translates of S-arithmetic orbits and applications
Uri Shapira, Cheng Zheng
We prove that certain sequences of periodic orbits of the diagonal group in the space of lattices equidistribute. As an application we obtain new information regarding the sequence…