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math.NT2020
A graph arising in the Geometry of Numbers
Wolfgang M. Schmidt, Leonhard Summerer
The parametric geometry of numbers has allowed to visualize the simultaneous approximation properties of a collection of real numbers through the combined graph of the related succ…
math.NT2019
A geometric proof of Jarnik's identity in the setting of weighted simultaneous approximation
Leonhard Summerer
Jarnik's identity plays a major role in classical simultaneous approximation to two real numbers. O. German [2] has shown a generalization to the weighted setting in which the iden…