16 citations · 83 across the 21 of their papers we have counts for
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math.DS2012★ 2 cited
On the Mordell-Gruber spectrum
Uri Shapira, Barak Weiss
We investigate the Mordell constant of certain families of lattices, in particular, of lattices arising from totally real fields. We define the almost sure value k_mu of the Mordel…
math.NT2012
Remarks on Euclidean Minima
Uri Shapira, Zhiren Wang
The Euclidean minimum of a number field is an important numerical invariant that indicates whether is norm-Euclidean. When is a non-CM field of unit rank 2 or hi…
math.DS2012
On the evolution of continued fractions in a fixed quadratic field
Menny Aka, Uri Shapira
We prove that the statistics of the period of the continued fraction expansion of certain sequences of quadratic irrationals from a fixed quadratic field approach the `normal' stat…