83 citations · 293 across the 29 of their papers we have counts for
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math.NT2014
Extrinsic Diophantine approximation on manifolds and fractals
Lior Fishman, David Simmons
Fix , and let be either a real-analytic manifold or the limit set of an iterated function system (for example, could be the Cantor set or…
math.NT2014
Intrinsic Diophantine approximation on quadric hypersurfaces
Lior Fishman, Dmitry Kleinbock, Keith Merrill +1
We consider the question of how well points in a quadric hypersurface can be approximated by rational points of . This contrasts with the m…
math.NT2014
Unconventional height functions in simultaneous Diophantine approximation
Lior Fishman, David Simmons
Simultaneous Diophantine approximation is concerned with the approximation of a point by points , with a view towards jointly min…