Generalized Perron Identity for broken lines

Oleg Nikolaevich Karpenkov, Matty van Son · Journal de Théorie des Nombres de Bordeaux · 2019

In this paper, we generalize the Perron Identity for Markov minima. We express the values of binary quadratic forms with positive discriminant in terms of continued fractions associated to broken lines passing through the points where the values are computed.

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